GPS/GNSS Technical Training Courses

GPS/GNSS Courses for 2021! Unsurpassed GPS/GNSS technical training demands experience, expertise and world-class instructors.

NavtechGPS has been the go-to company for GNSS technical ­training for 35+ years!

GNSS Courses Offered in the Following Areas  Inertial systems, Kalman filtering and GPS / GNSS integration  GPS/GNSS operations for engineers and professionals  GPS/GNSS equipment vulnerability assessment and mitigation (for U.S. military groups only)  Using advanced GNSS signals and systems  GPS/GNSS fundamentals  Differential GPS

Attention U.S. Military!  We have a course just for you. See Course 335: Military GPS Receiver Perfomance in Jamming, with Mitigations (Page 10) V 090121

www.NavtechGPS.com • 800.628.0885 • +1.703.256.8900 • Woman-Owned Small Business About Our Public Courses and Private Group Courses

GPS/GNSS Training Our Experience NavtechGPS is a world leader in GPS/GNSS education with We have been presenting our courses internationally more than 35 years of experience and a comprehensive and domestically to civil, military and governmental list of course offerings. Our courses are taught by world- organizations since 1984. See sampling of the organizations class instructors who have trained thousands of GNSS in this catalog and numerous attendee testimonials on our professionals. website. https://www.navtechgps.com/gps-gnss-training/ testimonials/ Our Courses Our Public Course Venues. We present our most popular Contact Us courses either remotely or at choice locations a few times We will provide you with information about your training each year for the GPS/GNSS community to attend (for the options and happily address all your questions. forseeable future, public courses will be presented remotely). *Recipient of The Institute of Navigation 2015 Private Group Remote Courses (formerly on-site courses). Norman P. Hays Award Our private group courses are often more desireable for the development and because your group learns in a secure setting and the per production of over 35 years of engineering tutorials person fee is lower. Private group training also allows us to in the field of satellite tailor a course to your organization’s needs. You can choose Trevor Boynton Carolyn McDonald* navigation, timing and one of the classes listed in the catalog or a combination to Seminar Manager CEO, President and inertial navigation; and for be customized for your group. For the forseeable future, tboynton@ Seminar Director development and sustained NavtechGPS cmcdonald@ support of The ION's private group courses will be presented remotely. We found NavtechGPS conference programs. that remote classes have resulted in great class participation and idea exchange through video chats. +1-703-256-8900

CONTENTS

About Our Public Courses and Private Group Courses...... 2

Our Instructors...... 4

Read What Our Attendees Have Said!...... 5

Course 346: GPS/GNSS Operation for Engineers & Technical Professionals ...... 6

Course 122: GPS/GNSS Fundamentals & Enhancements...... 7

Course 557: Inertial Systems, Kalman Filtering and GPS/INS Integration ��������������������������������������������������������������������������������������������������������������������������������������������������������������8

Course 336: GPS/GNSS Fundamentals and Enhancements with Emphasis on DGPS �����������������������������������������������������������������������������������������������������������������������������������9

Course 335: Military GPS Receiver Performance in Jamming, with Mitigations (U.S. Military Only) ������������������������������������������������������������������������������������������������������ 10

Couses 356: GPS/GNSS and DGPS Operation for Engineers & Technical Professionals �������������������������������������������������������������������������������������������������������������������������������� 11

Course 356B: GPS/GNSS Operation, DGPS, GPS Signals & Processing ����������������������������������������������������������������������������������������������������������������������������������������������������������������� 12

Course 551: Using Advanced GPS/GNSS Signals and Systems ������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� 13

Registration Forms and Fees for Public Remote Courses...... 14-15-16

†NavtechGPS is a Florida approved provider for Courses 122 and 346.

2 Train REMOTELY with Others at One of Our Public Courses

GPS/GNSS Training for November 2021 (Livestream Remote Training)

TUESDAY WEDNESDAY THURSDAY FRIDAY November 2 November 3 November 4 November 5

Course 346: GPS/GNSS Operation for Engineers and Technical Professionals (4 Days) Instructor: Dr. Chris Hegarty, MITRE

Course 122: GPS/GNSS Fundamentals and Enhancements (Days 1 and 2 of Course 346) Instructor: Dr. Chris Hegarty, MITRE

GPS/GNSS Training for December 2021 (Livestream Remote Training)

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY December 13 December 14 December 15 December 16 December 17

Course 557: Inertial Systems, Kalman Filtering and GPS/INS Integration (5 Days) Instructor: Dr. Alan Pue, JHU/APL and Mr. Michael Vaujin, Aerospace, Navigation & Defense Consultant (Attendees who do not need the Monday morning review, may opt out. See registration form for price reduction.)

GPS/GNSS Training for February 2022 (Livestream Remote Training)

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY February 7 February 8 February 9 February 10 February 11

Course 551: Using Advanced GPS/GNSS Signals and Systems (5 Days) Instructor: Dr. John Betz, MITRE Fellow Emeritus.

Learn about the Benefits of Private Group GNSS Training Courses for Your Team

Visit our site at https://www.navtechgps.com/gps-gnss-training/gnss-group-training/

3 Our Instructors

NavtechGPS has been leading the way in GPS/GNSS training for over 30 years. Our world-class instructors will have you develop top-level skills.

John Betz, Ph.D., is Boynton has been involved in the co-editor/co-author of the textbook, guidance, control, and navigation a MITRE Fellow testing and operation of GNSS Understanding GPS/GNSS: Principles projects, including automated Emeritus. He has receivers, antennas, boards, data link and Applications, 3rd. edition. ground vehicle control research, contributed to the products and related equipment. He space telescope pointing control, design of modern- is certified by several manufacturers Stephen Heppe, and missile guidance, navigation, ized signals includ- for sales, operation and training on D.Sc., operates and control. ing the GPS M-signal and L1C signal, high accuracy receiver systems and Telenergy, Inc., an He has frequently consulted to aspects of receiver processing for OEM products. He specializes in engineering con- and served on engineering review modernized signals, and also to sys- custom system development and sulting firm spe- boards or has led concept devel- tems engineering for GNSS modern- the design and implementation of cializing in telecommunications, opments for major acquisition ization. He has been a key contribu- high performance GNSS compo- navigation, spectrum management programs. He is now a member of tor to ongoing technical discussions nents. Boynton is a member of The and product integration. He the Air Force Scientific Advisory between the U.S. and other nations Institute of Navigation and won a received his BSEE/CS from Princeton Board. developing their own satellite-based "Best Paper" award for GPS applica- University in 1977 and his master's For over 30 years, Dr. Pue navigation and timing (satnav) sys- tions at the ION GNSS 2003 meeting. and doctorate from The George has been a graduate lecturer on tems. He is a fellow of the Institute He has also co-chaired sessions at Washington University in 1982 and Linear Systems Theory and Control of Navigation and the IEEE, and was past ION meetings and co-chaired 1989, respectively. Dr. Heppe has System Design Methods for The a member of the United States Air "New Products and Commercial Ser- been working with GPS and GNSS Johns Hopkins University. Force Scientific Advisory Board for vices" at ION GNSS+ 2013. He is a since 1980. He led SC159/WG6 from eight years, including three years as NavtechGPS technical board 1993 through 1997 (first version of Michael Vaujin is its chairman. He has received the member and a corporate officer. DO-235). Participating in RTCA, an aerospace, navi- ION’s Burka Award, Thurlow Award, ICAO, and the ITU, he has also sup- gation and defense and Kepler Award. He also was rec- Christopher ported the development of stan- consultant currently ognized by the International Insti- Hegarty, D.Sc., is a dards for WAAS, SCAT-I and GBAS, as working for an aero- tute of Associations of Navigation director with the well as ADS-B and VHF Data Link space engineering with its John Harrison Award. He is a MITRE Corporation, Mode 4. firm in Tucson, Arizona. He has member of the U.S. National Space- where he has Dr. Heppe was the communica- over 30 years of experience in the Based Positioning, Navigation, and worked mainly on tions lead on an early DGPS preci- fields of navigation and data Timing Advisory Board. His publica- aviation applications of GNSS since sion approach demonstration for fusion, and has designed aided tions include Engineering Satellite- 1992. He is currently the chair of the the U.S. Navy. While working at strapdown solutions for land, sea, Based Navigation and Timing: Global Program Management Committee Insitu, Inc., he developed a ship- and airborne platforms using Navigation Satellite Systems, Signals, of RTCA, Inc., and co-chairs RTCA borne moving-reference RTK system munition, tactical and navigation and Receivers, Wiley-IEEE Press, Special Committee 159 (GNSS). He for recovery of the ScanEagle UAV. grade IMUs. 2015. served as editor of NAVIGATION: The Dr. Heppe is a member of the He received his B.S.E.E. from Journal of the Institute of Navigation IEEE, the RTCA and The Institute of the University of Florida in 1987 Franck Boynton, from 1997-2006, and as president of Navigation. and his M.S.E.E. degree from the NavtechGPS VP and The Institute of Navigation in 2008. University of South Florida in CTO, heads the He was a recipient of the ION Early Alan J. Pue, Ph.D., 1991. NavtechGPS product Achievement Award in 1998, the (Retired) was the During his 16 years at Honey- division. NavtechGPS U.S. Department of State Superior chief scientist of the well Aerospace, he was awarded sells GPS and GNSS Honor Award in 2005, the ION Kepler Air and Missile five patents in aided navigation. products from over 30 leading man- Award in 2005, the Worcester Poly- Defense Sector at At the 2010 Institute of Navi- ufacturers and offers technical technic Institute Hobart Newell The Johns Hopkins University gation GNSS conference, he was advice on complex precise position- Award in 2006, the RTCA Achieve- Applied Physics Laboratory (JHU/ asked to present at a special panel ing projects in addition to offering ment Award in 2014, and the GPS APL). Since 1974, he had worked at celebrating the 50th anniversary technical GNSS training through its World Leadership Award in 2017. He JHU/APL on a wide variety of of the inv ention of the Kalman seminar division. Since 1988, is a fellow of the ION and IEEE, and a filter. 

4 Read What Our Attendees Have Said!

About Course 335/324/325: Military “I was most excited to learn about GPS receivers — Cody Carter, USAF, July 2020 GPS Receiver Performance in Jamming, and antennas. I really didn’t know much about GPS hardware before this course. Dr. Hegarty walked us "I really like the instructor's teaching style. [Mr. Vaujin] is with Mitigations (U.S. Military Only) through each component of a receiver and antenna, giving a very good understanding of the subject. The (Same course, reconfigured) and I feel it was very beneficial to understand the GPS fact that he actually worked on real projects helps a lot “I’m not an EE so I’m slower than most of the class, but I algorithm as it relates to physical components.” because he emphasises critical points and of course he was able to understand most concepts which is a sign — Shealyn Greer, Trident Research, July 2020 is really experienced." of a good teacher! I’ll be able to understand how to set — Name withheld upon request, May 2018 up a good jamming text and be able to understand the “As a non-tech/non-engineer, I was concerned results and be able to know what are good/bad/can’t about attending a class of engineers and technical "I found Mr. Vaujin’s lecture style to be concise and believe results.” professionals, Dr. Hegarty was able to take some efficient without being overly terse. He was able to — Rob Warner, Edwards AFB, June 2019 difficult subject material and help me stay connected to relay a great deal of information, clearly, in a relatively the material. He was able to go deeper when answering short period of time. I definitely felt that I got my “Dr. Best is very effective in this teaching. He is deeper questions. He also drew us in with questions- money’s worth from this course." approachable, knowedgeable, and well-tuned to the not just lecture but aasking us about what he said. Had — Henry McCabe, USAF, November 2016 skill level(s) of the students. I recommend this course a calm excitement about GPS/GNSS.” to anyone who requires a working knowledge of GPS — Dennis Shrink, May 2018, Dayton, Ohio I found the lecturer [Dr. Pue] to have struck just the right and its response to interference — navigation, guidance, blend of informality and academic rigor. I came into weapons, test engineers, etc.” Dr. Hegarty was excellent. His wealth of knowledge the course with a basic background in GPS and a “black — Joshua Johnson, Edwards AFB, June 2019 and experience was very apparent. He did a great job box” knowledge of IMUs and Kalman filtration. I can breaking down complex concepts and ensuring the confidently say that my knowledge of these subjects “You can tell Dr. Betz is an expert by how he can simplify class had a good understanding before moving on. Also, has been markedly increased. advanced subjects so he we can understand, especially his humor helped lighten the class material and kept — Henry McCabe, USAF, November 2016 what goes on inside receivers in presence of jamming. everyone engaged! I would recommend this course to all navigation and — Military attendee. Name witheld upon request, May "About Course 551/541: Using Advanced weapons engineers.” 2018, Falls Church, VA GPS/GNSS Signals and Systems (Same — Cole Johnson, Edwards AFB, June 2019 course, reconfigured) “My objective was two-fold. (1) Refresh my knowledge “[I acquired] lots of understanding for engineering trades of comunication systems and (2) Learn how when implementing new signals that will be useful About Course 336/337: GPS/GNSS communications technology is used within GPS. Dr. when implementing them. I just want to reiterate how Fundamentals and Enhancements with Hegarty’s course gave an excellent in-depth overview impressed I was with the content and delivery of this of communation systems and provided all the details Emphasis on DGPS (Same course, reconfigured) class. The notes are also good enough to be a valuable to understand how GPS works. I loved this course and “After 20 years in the GNSS domain (with emphasis stand-alone resource.” believe it met all my objectivies. Thank you!“ in SBAS), [the instructor was able to] recap, reinforce --Jeff Melville, MITRE, April 2018 — Alexander DeRieux, Naval Research Laboratory, knowledge and also deepen my knowledge in some Washington, DC, December 2017 areas where I had less experience. The goals have been "I wanted to have a greater understanding of detailed met. {Dr. Hegarty] was very clear, kind and with a very performance characteristics/tradeoffs. I also wanted to good background and recognition at international level. About Course 557/556/546: Inertial see more detail about the modernized/foreign signals. [I I was honored to be taught by Dr. Hegarty. “ Systems, Kalman Filtering and GPS/INS acquired] lots of understanding for engineering trades — Felix Toran, ESTEC, November 2018 Integration (Same course, reconfigured) when implementing new signals that will be useful. I just want to reiterate how impressed I was with the “This was a very high-quality course. Much better and “I have recently become interested in learning about content and delivery of this class. more informative than what I was expecting. The strapdown navigation. My objective was to increase my The notes are also good enough to be a valuable stand- subject matter expert [Dr. Hegarty] had incredible exposure to the topic and gain a more solid overview. alone resource." knowledge and was entertaining to listen to. Also great This course met and exceeded my objectives.“ — Jeff Melville, MITRE, February 2018 reference materials.” — Kenneth Bentley, United States Air Force, July 2020 — Jerry Rodriquez Melo, Patuxent, MD, February 2018 (Taught Remotely) “This is a course very rich in information content and one of the best I followed; the speaker is a worldwide known reference in GNSS related navigation sysytems and the About Course 346: GPS Operations for “My goal for the course taught by Dr. Alan Pue was to understand how IMUs were integrated into the Kalman textbook we got together with the course provides Engineers and Technical Professionals filter. The second day’s lecture way very helpful for that further details in particular about the theoretical “The scheduling was perfect, very nice that we could join purpose.” background to evaluate the performance at the from Europe. Also the amount of material and number — Paul Massatt, Aerospace, July 2020 different steps of the signal reception acquisition and and interval of breaks was well thought of. Thank you processing. for the useful and interesting course!” “My main objectives were to learn the aspects of and — Name withheld upon request, October 2017 — Heiko Engwerda, NLR, July 2020 how to implement modern navigation algorithms. The course definitely met those objectives.” “The video quality was excellent; I am very pleased — Travis Noffke, EXB Solutions, July 2020 with the Webex platform. I don’t feel as though going through the course remotely had any negative impact. “Can’t speak highly enough. Mr. Vaujin was engaging It was still very personal, easy to ask questions, and I and taught the course like a veteran IMU designer enjoyed the banter over coffee in the morning even teaching novices what to do when they design their if we were all scattered across the world. Mr. Boynton, own IMU. Do this trick of the trade. Watch out for that Ms. McDonald, and Dr. Hegarty were so friendly and pitfall. Be explicit with your vector notation. All of those welcoming. This was such a great experience.” things Vaujin did and I felt were immensely helpful.” — Shealyn Greer, Trident Research, July 2020 Read more at https://www.navtechgps.com/gps-gnss-training/testimonials/ 5 REMOTE PUBLIC COURSE: NOVEMBER 2–5, 2021. (PRIVATE GROUP LIVESTREAM REMOTE OPTION AVAILABLE) Course 346: GPS/GNSS Operation for Engineers & Technical Professionals: Principles, Technology, Applications and an Introduction to Basic DGPS (2.7 CEUs)

DAYS 1 AND 2 MAY BE TAKEN AS COURSE 122. SEE REGISTRATION FORM

DAY 1 DAY 2 DAY 3 DAY 4 Dr. Chris Hegarty or Dr. John Betz

Fundamentals of GPS operation. Overview of GPS Principles and Technologies Differential GPS Overview GPS Signal Processing how the system works. U.S. policy and current ● Local- and wide-area architectures ● In-phase and quadra-phase signal paths status. Clocks and Timing ● Code vs. carrier-phase based systems ● Analog-to-digital (A/D) conversion ● Importance for GPS ● Data links; pseudolites ● Automatic gain control (AGC) GPS System Description ● Timescales ● Performance overview ● Correlation channels ● Overview and terminology ● Clock types ● Acquisition strategies ● Principles of operation ● Stability measures Differential Concepts ● Augmentations ● Relativistic effects ● Differential error sources Code Tracking, Carrier Tracking & Data ● Trilateration ● Measurement processing Demodulation ● Performance overview Geodesy and Satellite Orbits ● Ambiguity resolution ● Delay locked loop (DLL) implementations; ● Modernization ● Coordinate frames and geodesy ● Error budgets performance ● Satellite orbits ● Frequency locked loops (FLLs) GPS Policy and Context ● GPS constellation DGPS Standards and Systems ● Phase locked loops (PLLs) ● Condensed navigation system history ● Constellation maintenance ● RTCM SC104 message format ● Carrier-aiding of DLLs ● GPS policy and governance ● USCG maritime DGPS and National DGPS ● Data demodulation ● Modernization program Satellites and Control Segment (NDGPS) ● Ground segment ● GPS satellite blocks ● Commercial satellite-based systems Receiver Impairments and Enhancements ● Other satellite navigation systems ● Control segment components and ● Aviation systems: satellite-based and ● Impairments - bandlimiting, oscillators, operation ground-based (SBAS/GBAS) multipath, interference GPS Applications ● Monitor stations, MCS, and ground ● RINEX format, CORS and IGS networks ● Enhancements - carrier smoothing, narrow ● Land antennas ● Precise time transfer correlator, codeless/semicodeless track- ● Marine ● Upload operations ing, vector tracking, external aiding ● Aviation ● Ground control modernization ● Science ● Personal navigation ● Accuracy measures ● Error sources Lunch is on your own Legacy GPS Signals Error Sources and Models GPS Signal Structure and Message Content GPS Navigation Algorithms: Point ● Signal structure and characteristics ● Sources of error and correction ● Signal structure Solutions ● Modulations: BPSK, DSSS, BOC models ● Signal properties ● Pseudorange measurement models ● Signal generation ● GPS signals in space performance ● Navigation message ● Point solution method and example ● Navigation data ● Ionospheric and tropospheric effects ● Multipath GPS Receiver Overview Introduction to Kalman Filtering Measurements and Positioning ● Error budget ● Functional overview ● Algorithm overview ● Pseudorange and carrier phase measurements ● Synchronization concepts ● Process and measurement models for ● Least squares solution Augmentations and Other ● Acquisition navigation ● Dilution of precision Constellations ● Code tracking ● Simulation examples ● Types of positioning solutions ● Augmentations: local-area, satellite- ● Carrier tracking based, and regional ● Data demodulation Practical Aspects GPS Receiver Basics ● Russia’s GLONASS ● Types of GPS and DGPS receivers ● Types of receivers ● Europe’s Galileo GPS Antennas ● Understanding specification sheets ● Functional overview ● China’s Compass (BeiDou) ● Antenna types ● Data links ● Antennas ● Antenna performance characteristics ● Antennas Precise Positioning ● Prefilters ● Receiver and interface standards ● Precise positioning concepts ● Low-noise amplifiers (LNAs) ● Accessories ● Reference station networks ● Noise figure ● Supplemental notes: Tracing a GPS signal ● RINEX data format through a receiver

Course Description  Ability to use Adobe Acrobat sticky notes on electronic course notes. Take this 4-day course to gain a comprehensive understanding of GPS/GNSS  NavtechGPS Glossary of GNSS Acronyms. system concepts, design and operation, including information on GPS signal  A black and white hard copy of the course notes. processing by the receiver; techniques by which GPS obtains position, velocity and  A textbook from the list below. time; and a brief introduction to differential GPS (DGPS) and Kalman filtering.This Course Fee Entitles You to One of the Following Books course is similar to Course 356 (5 days), but with less emphasis on DGPS and Understanding GPS: Principles and Applications, 3rd ed., Elliott Kaplan & Chris Kalman filtering. (Note: The first two days are the same as Course 122. Course Hegarty, Eds., Artech House, 2017, OR 346 expands on the concepts introduced in 122.) • Global Positioning System: Signals, Measurement and Performance, P. Misra Objectives and P. Enge, 2nd ed., 2011, OR This course is designed to give you • Engineering Satellite-Based Navigation & Timing: GNSS, Signals and Receivers,  A comprehensive introduction to GPS, system concepts, an introduction to John Betz, Ph.D. DGPS, design, operation, implementation and applications. • GPS Basics for Technical Professionls, P. Misra, 2019.  Detailed information on the GPS signal, its processing by the receiver, and the • Introduction to GPS: the Global Positioning System, 2nd Ed., A. El-Rabbany, techniques by which GPS obtains position, velocity and time. 2006.  Current information on the status, plans, schedule and capabilities of GPS, • Note: This textbook offer does not apply to private group contracts. Any books for as well as of other satellite-based systems with position velocity and time group contracts are negotiated on a case by case basis. determination applications.  What Attendees Have Said Information to fill the technical gaps for those working in the GPS/GNSS fields. “The video quality was excellent; I am very pleased with the Webex platform. I don’t feel as though going through the course remotely had any negative impact. It was still very personal, Who Should Attend? easy to ask questions, and I enjoyed the banter over coffee in the morning even if we were all Excellent for engineering staff who need to be rapidly brought up to speed on scattered across the world. Mr. Boynton, Ms. McDonald, and Dr. Hegarty were so friendly and GNSS, and for those already working in GPS who need exposure to the system as welcoming. This was such a great experience.” — Shealyn Greer, Trident Research, July 2020 a whole in order to work more effectively. Prerequisites Instructor Familiarity with engineering terms and analysis techniques. General familiarity with The instructor for the matrix operations and familiarity with signal processing techniques is desirable. OR November 2021 course Materials You Will Keep will be Dr. Chris Hegarty  A color electronic copy of all course notes provided in advance on a USB drive or CD-ROM. Dr. Chris Hegarty Dr. John Betz

6 FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 NEXT PUBLIC COURSE: NOVMEBER 2–5, 2021 (TAUGHT REMOTELY) PRIVATE GROUP LIVESTREAM REMOTE OPTION AVAILABLE. Course 122: GPS/GNSS Fundamentals & Enhancements (1.2 CEUs) (Days 1 and 2 of Course 346)

SAME AS DAYS 1 AND 2 OF COURSE 346 JUST NEED THE FUNDAMENTALS?

DAY 1 DAY 2 Take Course 122, which covers all the major areas of GPS.

Fundamentals of GPS operation. Overview of how the GPS Principles and Technologies system works. U.S. policy and current status. Clocks and Timing GPS System Description ● Importance for GPS Instructor ● Overview and terminology ● Timescales ● Principles of operation ● Clock types ● Augmentations ● Stability measures ● Trilateration ● Relativistic effects OR ● Performance overview ● Modernization Geodesy and Satellite Orbits ● Coordinate frames and geodesy GPS Policy and Context ● Satellite orbits Dr. Chris Hegarty Dr. John Betz ● Condensed navigation system history ● GPS constellation ● GPS policy and governance ● Constellation maintenance ● Modernization program The instructor for November ● Ground segment Satellites and Control Segment ● Other satellite navigation systems ● GPS satellite blocks 2021 will be Dr. Chris ● Control segment components and operation Hegarty GPS Applications ● Monitor stations, MCS, and ground antennas ● Land ● Upload operations ● Marine ● Ground control modernization ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources

Legacy GPS Signals Error Sources and Models ● Signal structure and characteristics ● Sources of error and correction models ● Modulations: BPSK, DSSS, BOC ● GPS signals in space performance ● Signal generation ● Ionospheric and tropospheric effects ● Navigation data ● Multipath ● Error budget Measurements and Positioning ● Pseudorange and carrier phase measurements Augmentations and Other Constellations ● Least squares solution ● Augmentations: local-area, satellite-based, and regional ● Dilution of precision ● Russia’s GLONASS ● Types of positioning solutions ● Europe’s Galileo ● China’s Compass (BeiDou) GPS Receiver Basics ● Types of receivers Precise Positioning ● Functional overview ● Precise positioning concepts ● Antennas ● Reference station networks ● RINEX data format

Objectives Course Fee Entitles You to the Following Books  To give an comprehensive introduction to GPS technology, system concepts, Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed El-Rabbany, design, operation, implementation and applications. Artech House, 2006., GPS Basics for Technical Professionals, Pratap Misra, Ganga-  To provide detailed information on the GPS signal, its processing by the receiver, Jamuna Press, 2016. (Note: This arrangement does not apply to on-site contracts. and the techniques by which GPS obtains position, velocity and time Any books for on-site group contracts are negotiated on a case by case basis.)  Note: Course 122 is the same as days 1 and 2 of Courses 336, 346 and 356. The concepts presented in 122 are expanded in depth in the subsequent courses. What Attendees Have Said “I liked the overall flow and design of the course, especially because I was trying to Prerequisites take the full 4-day [course]. I feel we touched pretty much all major points.“  Some familiarity with engineering terms is helpful but not essential. — Devashish Chandekar, Spirent, San Jose, 2018 Who Should Attend? “I came into the course with only basic GPS knowledge. The course provided a  Engineers and technical professionals seeking conceptual explanations of GPS / wealth of information and appreciation of GPS technology. The course exceeded GNSS technology, operation, capabilities, applications, and development trends expectations.”  Professionals in navigation, positioning, and related fields who are concerned with — Rex Rotebuck, USCG, 2016 the capabilities, operation and principles of GPS and related GNSS systems.  System analysts and specialists who need general information on position data “My main objective was to gain a better understanding about the GPS system as and its use. a whole. The course met my objective and having the course content in hard/soft  Managers concerned with GPS, GNSS activities, or the positioning field. copy is a great bonus!” Materials You Will Keep — Military Attendee, Name withheld upon request, 2016  A color electronic copy of all course notes provided in advance on a USB drive or CD-ROM.  • Ability to use Adobe Acrobat sticky notes.  • NavtechGPS Glossary of GNSS Acronyms.  • A black and white hard copy of the course notes.  • Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed El-Rabbany, Artech House, 2006., OR GPS Basics for Technical Professionals, P. Misra, 2019.  • Note: This textbook offer does not apply to private group contracts. Any books for group contracts are negotiated on a case by case basis.

FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 7 NEXT COURSE: DECEMBER 13– 17, 2021, THIS COURSE WILL BE TAUGHT REMOTELY. (PRIVATE GROUP LIVESTREAM REMOTE OPTION AVAILABLE) Course 557: Inertial Systems, Kalman Filtering and GPS/INS Integration (3.0 CEUs)

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

Dr. Alan Pue, Johns Hopkins, Navigation & Defense Consultant Mr. Michael Vaujin, Aerospace, Navigation & Defense Consultant

Introduction to INS/GPS Inertial Navigation INS Aiding of Receiver Tracking Aided Psi-Angle Navigator Square Root Filtering integration Mechanization ● Code and carrier tracking ● Description and demonstration of an ● Square root covariance filtering and ● Inertial navigation ● Gravity model ● Track loop design trades aided Psi-angle wander azimuth naviga- smoothing ● Integration architectures ● Navigation equations ● Interference suppression tor flying an aircraft type trajectory ● Information filter derivation ● Example applications ● Implementation options ● Deep integration ● Square root information filters Aided Phi-Angle Navigator ● UD factorization & filtering Vectors, Matrices, and State Inertial Sensor Tightly-Coupled INS/GPS Design ● Description and demonstration of an Space Technologies ● Measurement processing aided Phi-angle north-slaved navigator Suboptimal Covariance Analysis ● Vectors and matrices ● Accelerometer ● Filter parameter selection flying and aircraft type trajectory ● Effects of mis-modeling errors ● State-space description technologies ● Pseudo-range and delta pseudo- ● Modeling position error as latitude/ ● Optimal and sub-optimal (two pass) ● Examples ● Optical gyros range measurement models longitude error covariance analysis ● MEMS technologies ● Modeling position error as navigation ● Error budget and reduced state analysis Random Processes ● Technology survey Multi-Sensor Integration frame tilt error ● Random variables ● Terrain aiding and relative GPS ● Comparison of popular state dynamics Unscented Kalman Filters ● Covariance matrices Strapdown Systems ● Carrier phase differential integration matrix elements ● Sigma points and the Unscented ● Random process ● Quaternions ● GPS interferometer/INS integration Transform descriptions ● Orientation vector Partials of Measurement Equations ● Performance against the EKF ● Coning and sculling ● Techniques and tricks for taking partials, ● Augmentation and application to compensation examples navigation ● Psi-angle and Phi-angle feedback to ● Spherical Simplex Sigma Points strapdown ● Square Root UKFs ● Pros and cons of the 3 different navigator types

Lunch

Kalman Filter Navigation System Mr. Michael Vaujin, Aerospace, Initialization & Process Noise Ground Alignment & Integrated Velocity ● Filtering principles Errors Navigation & Defense Consultant ● Strapdown and covariance matrix ● Gyro-Compassing, zero velocity and zero ● Least squares estimation ● Tilt angle definitions initialization earth rate observations ● Kalman filter derivation ● Navigation error Building Extended Kalman Filter ● Process noise for gravity and random ● Large azimuth static alignment, advanced dynamics ● Linearized & Extended Kalman Filters walk methods Filter Implementation ● Simplified error ● Radar tracking of vertical body ­motion ● Common sensor error models: random ● Small azimuth static alignment & leveling ● Filter processing example characteristics with non-linear dynamics constant, random walk and Gauss ● Ground alignment observability examples ● Off-line analysis ● Radar tracking of an accelerating Markov ● Integrated true velocity error, mapping into ● Filter tuning System Initialization body with non-linear measurements delta-range ● INS static alignment Measurement Editing & Adaptive Filters Navigation Coordinate ● Transfer alignment Numerical Preliminaries & ● Online and offline residual analysis Attitude Matching & Use of Inexpensive Systems ● Simplified error Considerations ● Advanced methods of outlier detection IMUs ● Earth model analysis ● Keeping a covariance matrix well- and rejection ● Attitude matching & boresight error states ● Navigation coordinates conditioned, symmetric, & positive ● Multiple Model Adaptive Estimation ● Considerations for use of very inexpensive ● Earth relative kinematics Loosely-Coupled INS/ definite ● Application to carrier phase integer IMUs GPS Design ● Sequential vs batch measurement ambiguity resolution ● Non-holonomic motion constraints ● Measurement processing ● Magnetometer aiding processing ● Methods of measurement Methods of Smoothing ● In class measurement equation exercise ● Filter design and tuning de-correlation ● Optimal prediction and fixed interval ● Matrix partitioning for computational ● Navigation system smoothing efficiency update Discreet Time Strapdown ● Fixed point and fixed lag smoothing Implementation ● Applications to navigation testing Particle Filtering ● Attitude updates and TOV of the ● Bootstrap particle filter (PF) acceleration ● Multi-modal position solutions ● Propagating the position DCM ● Particle filter example ● High rate vs low rate routines ● Applications to navigation ● Effects of errors in initialization & IMU data

Course Objectives Materials You Will Keep This course on GNSS-aided navigation will immerse the student in the fundamental  A color electronic copy of all course notes provided in advance on a USB drive or concepts and practical implementations of the various types of Kalman filters CD-ROM. that optimally fuse GPS receiver measurements with a strapdown inertial  Ability to use Adobe Acrobat sticky notes on electronic course notes. navigation solution. The course includes the fundamentals of inertial navigation,  NavtechGPS Glossary of GNSS Acronyms. inertial instrument technologies, technology surveys and trends, integration  A black and white hard copy of the course notes. architectures, practical Kalman filter design techniques, case studies, and illustrative  Textbook: Introduction to Random Signals and Applied Kalman Filtering, 3rd demonstrations using MATLAB®. The full five days allow for a fuller, detailed edition, by R. Grover Brown and Patrick Hwang, John Wiley & Sons, Inc., 1996. development of the design of an aided navigation system, including a detailed (Note: This does not apply to private group contracts. Any books for group discussion of the use of lower quality IMUs, and advanced filtering techniques. contracts are negotiated on a case by case basis.) Who Should Attend? What Attendees Have Said  GPS/GNSS engineers, scientists, systems analysts, program specialists and “I have recently become interested in learning about strapdown navigation. My others concerned with the integration of inertial sensors and systems. objective was to increase my exposure to the topic and gain a more solid overview.  Those needing a working knowledge of Kalman filtering, or those who work in the This course met and exceeded my objectives.” fields of either navigation or target tracking. — Kenneth Bentley, USAF, July 2020 (Taught Remotely)

Prerequisites “As a practicing engineer in integrated  Familiarity with principles of engineering analysis, including matrix algebra and navigation, I came to the class to explore Instructors linear systems. the boundaries of my knowledge. The  A basic understanding of probability, random variables, and stochastic processes. course greatly exceeded my expectations.  An understanding of GPS operational principles in Course 346, or equivalent Mr. Vaujin’s mastery of each topic helped experience. me to synthesize prior knowledge and Equipment Recommendation attain new fundamental understanding of the psi and phi navigators. Dr. Alan Pue, Mr. Michael Vaujin,  Recommended, but not required: A computer (PC or Mac) with full version of — Andrew Harmon, Signal Quest, May 2018 Instructor Instructor MATLAB 5.0 (or later) installed. This will allow you to work the problems in class and do the practice “homework” problems. However, ALL of the problems will also be worked in class by the instructor.  These course notes are searchable and you can take electronic notes with the Adobe Acrobat Reader we will provide you.

8 FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 PRIVATE GROUP REMOTE COURSE ONLY Course 336: GPS/GNSS Fundamentals and Enhancements with Emphasis on DGPS (1.8 CEUs) DAY 1 DAY 2 DAY 3 Dr. Chris Hegarty FOR THOSE WHO

Fundamentals of GPS operation. GPS Principles and Technologies Differential GPS Overview NEED GPS/GNSS Overview of how the system works. ● Local-area, regional-area, wide-area U.S. policy and current status. Clocks and Timing architectures BASICS AND A ● Importance for GPS ● Code vs. carrier-phase based systems GPS System Description ● Timescales ● Pseudolites FULL DAY OF ● Overview and terminology ● Clock types ● Performance overview ● Principles of operation ● Stability measures DIFFERENTIAL GNSS ● Augmentations ● Relativistic effects Differential Error Sources ● Trilateration ● Satellite ephemeris errors Instructor ● Performance overview Geodesy and Satellite Orbits ● Satellite clock errors ● Modernization ● Coordinate frames and geodesy ● Selective availability ● Satellite orbits ● Ionospheric, tropospheric delay GPS Policy and Context ● GPS constellation ● Multipath ● Condensed navigation system history ● Constellation maintenance ● Receiver internal noise, biases ● GPS policy and governance ● Modernization program Satellites and Control Segment Observable Modeling ● Ground segment ● GPS satellite blocks ● Code pseudorange and carrier-phase outputs ● Other satellite navigation systems ● Control segment components and operation ● Code-minus-carrier observables Dr. Chris Hegarty ● Monitor stations, MCS, and ground antennas ● Carrier-smoothed code operation GPS Applications ● Upload operations ● Double difference operation ● Land ● Ground control modernization ● System error budgets ● Marine ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources

LUNCH IS ON YOUR OWN Legacy GPS Signals Error Sources and Models Differential GPS Design Considerations ● Signal structure and characteristics ● Sources of error and correction models ● Range vs. navigation domain corrections ● Modulations: BPSK, DSSS, BOC ● GPS signals in space performance ● Data links ● Signal generation ● Ionospheric and tropospheric effects ● Pseudolites ● Navigation data ● Multipath ● Reducing major error components ● Error budget ● Ambiguity resolution Measurements and Positioning ● Pseudorange and carrier phase Augmentations and Other Constellations DGPS Case Studies I measurements ● Augmentations: local-area, satellite-based, ● RTCM SC104 message format ● Least squares solution and regional ● USCG maritime DGPS and National DGPS ● Dilution of precision ● Russia’s GLONASS (NDGPS) ● Types of positioning solutions ● Europe’s Galileo ● Commercial satellite-based systems ● China’s Compass (BeiDou) GPS Receiver Basics DGPS Case Studies II ● Types of receivers Precise Positioning ● Wide Area Augmentation System (WAAS) ● Functional overview ● Precise positioning concepts ● Local Area Augmentation System (LAAS) ● Antennas ● Reference station networks ● RINEX format ● RINEX data format ● CORS&IGS network for precise positioning (survey) ● Precise time transfer

Description/Objectives Course Fee Entitles You to One of the Following Books This 3-day public or on-site course offers a comprehensive introduction to GPS/  GPS Basics for Technical Professionals, P. Misra, 2019, OR GNSS technology, system concepts, design, operation, implementation and  Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed applications, and a full day of differential GPS. Detailed information on the GPS El-Rabbany, Artech House, 2006., OR signal, its processing by the receiver, and the techniques by which GPS obtains  Global Positioning System: Signals, Measurement and Performance, P. Misra position, velocity and time will be covered. (Note: the first two days are the same and P. Enge, 2nd ed., 2011. as Course 122. Day 3 is dedicated to differential GPS.)  Note: This textbook offer does not apply to private group contracts. Any books for group contracts are negotiated on a case by case basis. Prerequisites Familiarity with engineering terms is very helpful but not essential. Non-engineers What Attendees Have Said will benefit from the conceptual explanations.. "Especially useful were the aspects related to how the user receivers make use of the GNSS signals and all the steps involved in the process, from receiving the raw Who Should Attend? RF signal to the computation of the user position."  Engineers and technical professionals seeking conceptual and detailed — Marc Garcia Mateos, Course 336, ESA/ESTEC, September 2016 explanations of GNSS technology, operation, capabilities, applications, and development trends “Dr. Hegarty is extremely knowledgeable and well versed in the material. Well  Professionals in navigation, positioning, and related fields who are concerned prepared and well designed course and course material! Course material was well with the capabilities, operation and principles of GPS, DGPS, and related organized with accompanying slides — Nice notebook!” GNSS systems. — David Wright, Course 346, June 2015.  System analysts and specialists concerned with position data and its use. (Course 336 is a subset of Courses 346 and 356)  Managers concerned with GPS, GNSS activities, or the positioning field. Materials You Will Keep “There are many bright scientists and engineers, but very few are bright and gifted in  A color electronic copy of all course notes provided in advance on a USB drive teaching. Even fewer could explain each part of a very complex equation in simple or CD-ROM. layman’s term. Dr. Hegarty got my full attention.”  Ability to use Adobe Acrobat sticky notes on electronic course notes. — Sigong Ho, NovAtel; Course 346, February 2014 (Course 336 is a subset of  NavtechGPS Glossary of GNSS Acronyms. Courses 346 and 356)  A black and white hard copy of the course notes.  A textbook from the list below.

FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 9 PRIVATE GROUP REMOTE COURSE ONLY. RESTRICTED TO U.S. GOVERNMENT AND ITS CONTRACTORS Course 335: Military GPS Receiver Performance in Jamming, with Mitigations (U.S. Military Only) (1.5 CEUs)

DAY 1 DAY 2 DAY 3

Day 3 Morning Day 1 Morning Day 2 Morning Review Questions (1 hour) Introduction (1 hour) Review questions (1 hour) ● Discussion of previous day’s material based on review ● GPS, satnav, and other current and prospective ● Discussion of previous day’s material based questions that are solved and used as a springboard for sources of position, velocity, and time, with on review questions that are solved and used further explanation and discussion. their strengths and limitations. Shows why GPS as a springboard for further explanation and End to End Examples (1.5 hours) and satnav will remain essential for decades discussion. ● Putting all the pieces together with practical “toy to come. Antennas (1 hour) examples” that integrate everything over the past two Satnav and GPS Fundamentals (2 hours) ● Antenna basics (gain, polarization, …), fixed days including planning tests, comparing user equipment, ● Basics of how satnav works. Construction of reception pattern antenna (FRPA) characteris- understanding benefits of M-signal. signals, receiver functions, jamming and spoof- tics, FRPA types, antenna arrays—controlled Wrap-up (0.5 hour) ing, positioning and timing errors, GPS details reception pattern antenna (CRPA) charac- ● Revisiting the key points of the past 15 hours of class, including differences between civil and military teristics, adaptive antijam antenna system putting the material in context. signals, overview of foreign satnav systems. processing architectures (single-tap power minimization, SFAP and STAP power minimiza- tion, constrained SFAP and STAP), advantages and disadvantages of different architectures, stresses on architectures. Acquisition and Initial Synch (1 hour) ● Initial receiver states; initial time uncertainty and initial frequency uncertainty; time-frequency space, tiles, and cells; receiver processing overview; cross ambiguity functions, coherent and noncoherent processing; other functions in acquisition; representative acquisition thresholds.

LUNCH IS ON YOUR OWN

Day 2 Afternoon Day 1 Afternoon Tracking and Data Demodulation (1 hour) Military Signals and Receivers (1 hour) ● Concept of tracking received signal parameters, ● Frequency bands, overview of P(Y) and M concept of tracking loops, tracking loop consider- signals, binary offset carrier (BOC) spreading ations, carrier tracking (S-curve, loss of lock, modulations, types of military receivers, performance), code tracking (S-curve, loss of receiver operating states, channel states. lock, performance), data message demodulation, Decibels (0.5 hours) inertial measurement units in tracking (loose ● Refresher on decibels, dBW, dBm. Rules coupling, tight coupling, vector tracking, ultratight of thumb, examples, and tricks in using coupling), calculating jamming thresholds. decibels for engineering calculations. Practical Concepts of Jamming and Mitigations (0.5 examples. hours) Receiver Performance Measures (1.5 hour) ● Types of jamming waveforms in time, frequency, ● Effective C/N0, spectral separation coefficients and amplitude domains. Types of jamming (SSCs), J/S, Eb/N0, tolerable jamming power mitigations. (TJP). What they mean, why they are important, Situational Awareness (0.5 hours) how they are interrelated, how they are used, ● Concepts and candidate architectures. with practical examples. Link Budgets and Propagation Loss (1 hour) ● Space to earth link budgets, radio line of sight, terrestrial link budgets, effects of foliage and buildings.

Course Description Materials You Will Keep This two and a half-day course is targeted at military operators, testers,  A color electronic copy of course notes (provided in advance) on USB drive or CD-ROM and planners involved in specification, operations, planning, evaluation,  Ability to use Adobe Acrobat sticky notes testing, and use of military GPS user equipment. The course level  NavtechGPS Glossary of GNSS Acronyms assumes attendees do not have deep familiarity with satellite-based  A black and white hard copy of the course notes navigation (satnav) or GPS, or with electrical engineering principles  A book from the list below. and concepts. Important principles and concepts are conveyed without resorting to deep mathematics or theory. Extensive examples that employ Book Allowance simple back of the envelope calculations are used to equip attendees Book allowances are negotiated as part of private group contracts. For your allowance, we with the tools needed for understanding and assessing various aspects of suggest the book by John Betz, Ph.D., Engineering Satellite-Based Navigation & Timing: military user equipment capabilities. Extensive use of practical examples GNSS, Signals, & Receivers, Betz. Wiley-IEEE Press, 2015. allows attendees to apply the concepts in practice.Note: This course is restricted to employees of U.S. government agencies and their U.S. What Attendees Have Said “The instructor was one of the best instructors of any short course I’ve ever had. It is hard government contractors. to narrow down one or two important aspects of the course, but signal strength and how to Prerequisites characterize through space was my biggest objective. If we’d had more time all of the topics The course level assumes attendees do not have deep familiarity with could be expanded by Dr. Betz, as he is incredibly knowledgeable and experienced.” satellite-based navigation (satnav) or GPS, or with electrical engineering — Name withheld upon request, June 2019 principles and concepts. Important principles and concepts are conveyed without resorting to deep mathematics or theory. Extensive examples “Dr. Betz is an expert who made many complex factors associated with nav testing very that employ simple back of the envelope calculations are used to equip understandable. In particular, I got additional ideas on how to plan for user equipment attendees with the tools needed for understanding and assessing various testing and planning regarding jamming/testing. Excellent course. Thank you.” aspects of military user equipment capabilities. Extensive use of practical Name withheld upon request, June 2019 examples allows attendees to apply the concepts in practice. Who Should Attend? “You can tell Dr. Betz is an expert by how he can simplify advanced Instructor subjects so he we can understand, especially what goes on inside This course is targeted at military operators, testers, and planners receivers in presence of jamming. I would recommend this course to involved in specification, operations, planning, evaluation, testing, and all navigation and weapons engineers.” use of military GPS user equipment. Note: This course is restricted to — Cole Johnson, Edwards AFB, June 2019 employees of U.S. government agencies and their U.S. government contractors. Dr. John Betz

10 FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 PRIVATE GROUP REMOTE COURSE ONLY Couses 356: GPS/GNSS and DGPS Operation for Engineers & Technical Professionals: Principles, Technology, Applications and DGPS Concepts (3.0 CEUs) (Similar to Course 346, but with three additional hours of Differential GPS and two additional hours of Kalman filtering.)

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5 Dr. Chris Hegaty, MITRE

Fundamentals of GPS operation. GPS Principles and Technologies Differential GPS Overview GPS Signal Structure and Case Study: Tracing a GPS Overview of how the system works. ● Local-area, regional-area, Message Content Signal Through a Receiver U.S. policy and current status. Clocks and Timing wide-area architectures ● Signal structures ● Received signal ● Importance for GPS ● Code vs. carrier-phase ● Signal properties ● Digitized signal GPS System Description ● Timescales based systems ● Navigation message ● Correlator outputs ● Overview and terminology ● Clock types ● Pseudolites ● Code-phase estimate ● Principles of operation ● Stability measures ● Performance overview GPS Receiver Overview ● Carrier-phase estimate ● Augmentations ● Relativistic effects ● Functional overview ● Data demodulation ● Trilateration Differential Error Sources ● Synchronization concepts ● Performance overview Geodesy and Satellite Orbits ● Satellite ephemeris errors ● Acquisition GPS Navigation Algorithms: ● Modernization ● Coordinate frames and geodesy ● Satellite clock errors ● Code tracking Point Solutions ● Satellite orbits ● Selective availability ● Carrier tracking ● Pseudorange measurement GPS Policy and Context ● GPS constellation ● Ionospheric, tropospheric ● Data demodulation models ● Condensed navigation system ● Constellation maintenance delay ● Point solution method history ● Multipath GPS Antennas and example ● GPS policy and governance Satellites and Control Segment ● Receiver internal noise, ● Antenna types ● Modernization program ● GPS satellite blocks biases ● Antenna performance Basics of Kalman Filtering ● Ground segment ● Control segment components and characteristics ● Introduction to Kalman filtering ● Other satellite navigation systems operation Observable Modeling ● Prefilters ● Filter structure ● Monitor stations, MCS, and ground ● Code pseudorange and ● Low-noise amplifiers (LNAs) ● Simulation results GPS Applications antennas carrier-phase outputs ● Noise figure ● Land ● Upload operations ● Code-minus-carrier ● Marine ● Ground control modernization observables ● Aviation ● Carrier-smoothed code ● Science operation ● Personal navigation ● Double difference operation ● Accuracy measures ● System error budgets ● Error sources Lunch is On Your Own Legacy GPS Signals Error Sources and Models Differential GPS Design GPS Signal Processing Kalman Filtering for GPS ● Signal structure and characteristics ● Sources of error and correction Considerations ● In-phase and quadra-phase Navigation ● Modulations: BPSK, DSSS, BOC models ● Range vs. navigation domain signal paths ● Clock models and dynamic ● Signal generation ● GPS signals in space performance corrections ● Analog-to-digital (A/D) models ● Navigation data ● Ionospheric and tropospheric effects ● Data links conversion ● Integration with INS ● Multipath ● Pseudolites ● Automatic gain control (AGC) ● Measurement and dynamic Measurements and Positioning ● Error budget ● Reducing major error ● Correlation channels mismodeling ● Pseudorange and carrier phase components ● Acquisition strategies measurements Augmentations and Other ● Ambiguity resolution Practical Aspects I ● Least squares solution Constellations Code Tracking, Carrier Tracking ● Types of GPS and DGPS ● Dilution of precision ● Augmentations: local-area, satellite- DGPS Case Studies I & Data Demodulation receivers ● Types of positioning solutions based, and regional ● RTCM SC104 message ● Delay locked loop (DLL) imple- ● Understanding specification ● Russia’s GLONASS format mentations; performance sheets GPS Receiver Basics ● Europe’s Galileo ● USCG maritime DGPS and ● Frequency locked loops (FLLs) ● Data links ● Types of receivers ● China’s Compass (BeiDou) National DGPS (NDGPS) ● Phase locked loops (PLLs) ● Antennas ● Functional overview ● Commercial satellite-based ● Carrier-aiding of DLLs ● Antennas Precise Positioning systems ● Data demodulation Practical Aspects II ● Precise positioning concepts ● Receiver and interface standards ● Reference station networks DGPS Case Studies II Receiver Impairments and ● Connectors ● RINEX data format ● Wide Area Augmentation Enhancements ● Accessories System (WAAS) ● Impairments - bandlimiting, os- ● Test, evaluation, and signal ● Local Area Augmentation cillators, multipath, interference performance System (LAAS) ● Enhancements - carrier smooth- ● RINEX format ing, narrow correlator, codeless/ ● CORS&IGS network for semicodeless tracking, vector precise positioning (survey) tracking, external aiding ● Precise time transfer

Course Objectives  Ability to use Adobe Acrobat sticky notes on electronic course notes.  To give you a comprehensive introduction to GPS and DGPS technology,  NavtechGPS Glossary of GNSS Acronyms. system concepts, design, operation, implementation and applications, including  A black and white hard copy of the course notes. critical information on DGPS and Kalman filtering concepts.  A textbook from the list below.  To provide detailed information on the GPS signal, its processing by the receiver, Course Fee Entitles You to One of the Following Books and the techniques by which GPS obtains position, velocity and time.  Understanding GPS: Principles and Applications, 2nd ed., Elliott Kaplan & Chris  To present current information on the status, plans, schedule and capabilities of Hegarty, Eds., Artech House, 2006, OR GPS, as well as of other satellite-based systems with position velocity and time  Global Positioning System: Signals, Measurement and Performance, P. Misra determination applications. and P. Enge, 2nd ed., 2011.  To fill technical information gaps for those working in the GPS and GNSS fields.  GPS Basics for Technical Professionls, P. Misra, 2019.  Note: This course encompasses Courses 122, 336 and 356B. If you have  Introduction to GPS: the Global Positioning System, 2nd Ed., A. El-Rabbany, selected this course, do not separately select any of these course numbers. 2006. Who Should Attend?  Note: This arrangement does not apply to private group contracts. Any books for Excellent for engineering staff who need to be rapidly brought up to speed on GPS, group contracts are negotiated on a case by case basis. and for those already working in GPS who need exposure to the system as a whole What Attendees Have Said in order to work more effectively. [My objective was to] gain a better understanding of GPS operating principles Prerequisites with a focus on error sources and differential Instructor: Familiarity with engineering terms and analysis techniques. General familiarity with GPS. I thought [Dr. Hegarty’s] teaching style was matrix operations is desirable for Thursday and Friday, and familiarity with signal excellent. He specifically tailored his approach to processing techniques is desirable for Wednesday through Friday. (The materials for the small classroom environment with significant days 3, 4 and 5 of Course 356 are more in-depth than what is taught in Course 346.) student interaction: True teaching versus lecturing. [I would recommend this course to] system engineers OR Materials You Will Keep Dr. Stephen Dr. Chris requiring more than a black box knowledge of GPS. Heppe Hegarty  A color electronic copy of all course notes provided in advance on a USB drive — Name withheld upon request, March 2012 or CD-ROM.

FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 11 PRIVATE GROUP REMOTE COURSE ONLY Course 356B: GPS/GNSS Operation, DGPS, GPS Signals & Processing (1.8 CEUs) DAY 1 DAY 2 DAY 3 FOR GROUPS WHO Dr. Chris Hegarty, MITRE ALREADY KNOW

Differential GPS Overview GPS Signal Structure and Message Content Case Study: Tracing a GPS Signal Through a GPS/GNSS BASICS, ● Local-area, regional-area, wide-area ● Signal structures Receiver architectures ● Signal properties ● Received signal BUT NEED TO LEARN ● Code vs. carrier-phase based systems ● Navigation message ● Digitized signal ● Pseudolites ● Correlator outputs DIFFERENTIAL ● Performance overview GPS Receiver Overview ● Code-phase estimate ● Functional overview ● Carrier-phase estimate GPS AND KALMAN Differential Error Sources ● Synchronization concepts ● Data demodulation ● Satellite ephemeris errors ● Acquisition FILTERING BASICS ● Satellite clock errors ● Code tracking GPS Navigation Algorithms: Point Solutions ● Selective availability ● Carrier tracking ● Pseudorange measurement models ● Ionospheric, tropospheric delay ● Data demodulation ● Point solution method Instructor ● Multipath and example ● Receiver internal noise, biases GPS Antennas ● Antenna types Basics of Kalman Filtering Observable Modeling ● Antenna performance characteristics ● Introduction to Kalman filtering ● Code pseudorange and carrier-phase ● Prefilters ● Filter structure outputs ● Low-noise amplifiers (LNAs) ● Simulation results ● Code-minus-carrier observables ● Noise figure ● Carrier-smoothed code operation Dr. Chris Hegarty ● Double difference operation ● System error budgets

LUNCH IS ON YOUR OWN Differential GPS Design Considerations GPS Signal Processing Kalman Filtering for GPS Navigation ● Range vs. navigation domain corrections ● In-phase and quadra-phase signal paths ● Clock models and dynamic models ● Data links ● Analog-to-digital (A/D) conversion ● Integration with INS ● Pseudolites ● Automatic gain control (AGC) ● Measurement and dynamic mismodeling ● Reducing major error components ● Correlation channels ● Ambiguity resolution ● Acquisition strategies Practical Aspects I ● Types of GPS and DGPS receivers DGPS Case Studies I Code Tracking, Carrier Tracking & Data ● Understanding specification sheets ● RTCM SC104 message format Demodulation ● Data links ● USCG maritime DGPS and National ● Delay locked loop (DLL) implementations; ● Antennas DGPS (NDGPS) performance ● Commercial satellite-based systems ● Frequency locked loops (FLLs) Practical Aspects II ● Phase locked loops (PLLs) ● Receiver and interface standards DGPS Case Studies II ● Carrier-aiding of DLLs ● Connectors ● Wide Area Augmentation System (WAAS) ● Data demodulation ● Accessories ● Local Area Augmentation System (LAAS) ● Test, evaluation, and signal performance ● RINEX format Receiver Impairments and Enhancements ● CORS&IGS network for precise position- ● Impairments - bandlimiting, oscillators, ing (survey) multipath, interference ● Precise time transfer ● Enhancements - carrier smoothing, narrow correlator, codeless/semicodeless tracking, vector tracking, external aiding

Description Course Fee Entitles You to One of the Following Books This 3-day course begins with a discussion of differential GPS, which continues  Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed through the rest of the week together with an in-depth look at GPS signal El-Rabbany, Artech House, 2006, OR processing, navigation message content, code tracking, receivers and concludes  Global Positioning System: Signals, Measurement and Performance, P. Misra with a discussion on the basics of Kalman filtering. (Note: This course is the same as and P. Enge, 2nd ed., 2011, OR the last 3 days of Course 356. )  GPS Basics for Technical Professionals, P. Misra, 2019, OR  Understanding GPS: Principles and Applications, 3rd Edition, E. Kaplan and C. Objectives Hegarty, 2017  To give a comprehensive introduction to GPS and DGPS technology, system  Note: This arrangement does not apply to on-site contracts. Any books for on-site concepts, design, operation, implementation and applications. group contracts are negotiated on a case by case basis.What Attendees Have  To provide detailed information on the GPS signal, its processing by the Said receiver, and the techniques by which GPS obtains position, velocity and time.  To present current information on the status, plans, schedule and capabilities of What Attendees Have Said GPS, as well as of other satellite-based systems with position velocity and time "Dr. Hegarty is very knowledgeable and he is a great communicator. He explained determination applications. conceptual and theoretical topics clearly. He was very accessible in answering  To fill in technical information gaps for those working in the GPS and GNSS questions. He did an excellent job engaging the students in the learning fields. experience." _ Carol Chen, March 2011; San Diego, California Prerequisites Knowledge of GPS fundamentals, as presented in Course 122 is assumed. "I thought [Dr. Hegarty] had a great teaching style, was funny and had just the right Who Should Attend? amount of slides. [Dr. Hegarty] was very good at explaining very technical things Excellent for those engineers and technical professionals who know the basics in a way that made sense to someone with very little signals / communications of GPS but need more detail on DGPS, signals, receivers, antennas, navigation background." _ algorithms, Kalman filtering and practical aspects of GPS. A. Muscat, July 2011; Annapolis, Maryland Materials You Will Keep  A color electronic copy of all course notes provided in advance on a USB drive or CD-ROM.  Ability to use Adobe Acrobat sticky notes on electronic course notes.  NavtechGPS Glossary of GNSS Acronyms.  A black and white hard copy of the course notes.  A textbook from the list below.

12 FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 NEXT PUBLIC COURSE: FEBRUARY 7–11, 2022 (TAUGHT REMOTELY). PRIVATE GROUP TRAINING OPTION AVAILABLE. Course 551: Using Advanced GPS/GNSS Signals and Systems (3.0 CEUs)

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5 Dr. John Betz, MITRE

Day 1 Morning Day 2 Morning Day 3 Morning Day 4 Morning Day 5 Morning

Objectives: Review basics of Objectives: Review Day 1 Objectives: Review Day 2 mate- Objectives: Review Day 3 material, Objectives: Review Day 4 material, satellite-based positioning ­material, begin to explore rial, address details of analog-to- address details of code tracking and complete description of Galileo and timing, establish common details of GPS and its signals, digital conversion, introduce initial data message demodulation signals, describe Galileo receiver terminology and notation, both original and modernized synchronization processing explore satellite orbits and Day 3 Review Questions and Answers constellations, understand Day 1 Review Questions and Day 2 Review Questions and Day 4 Review Questions and satnav signal fundamentals Answers Answers Code Tracking Answers ● RMS bandwidth and its influence on Introduction and Overview of GPS and SBAS Overview Analog to Digital Conversion code tracking performance Galileo System and Signals the Course GPS Signals ● Fundamentals ● Signal processing and discriminators ● E5, E5a, E5b ● C/A signal ● Linear ADC for code tracking ● E1 OS receiver processing Satnav Orbits and ● P(Y) signal ● ADC for the digitizing correlator ● Implementation and tradeoffs ● E5 receiver processing Constellations ● L2C signal ● Replica aliasing ● Performance prediction ● Kepler’s laws ● M signal ● False lock points ● Constellation design ● L5 signal Initial Synchronization Overview considerations ● Receiver states Data Message Demodulation ● Useful geometry calculations ● Time-frequency search and the crossambiguity function Satnav Signals ● Widening BOC correlation functions ● Signal overview ● Spreading modulations

Lunch is on your own

Day 1 Afternoon Day 2 Afternoon Day 3 Afternoon Day 4 Afternoon Day 5 Afternoon

Objectives: Establish rigorous Objectives: Complete exploring Objectives: Describe approaches Objectives: Describe algorithms Objectives: Summarize other satnav mathematical models of satnav details of GPS signals and for massively parallel initial synch and considerations for calculating systems and signals (GLONASS, signals, become proficient with SBAS signals, begin receiver and evaluating initial synch position, velocity, and time; provide BDS, QZSS), provide overviews of systems engineering tools engineering with an overview, performance, describe procedures integrated view of dealing with inter- differential satnav, assisted satnav, followed by details of receiver for tracking loop design and ference; introduce Galileo system and multipath considerations, wrap Satnav Signals front end design implementation, followed by carrier and signals up course ● Signal components tracking GPS Signals Position, Velocity, Time Calculation Other Satnav Systems and Signals Effective C/N0 ● L1C signal Initial Synchronization Details ● Generating and refining observables ● GLONASS ● Summary of GPS signal ● Architectures for massively parallel ● Correcting ionospheric, tropospheric, ● BDS Link Budgets characteristics computation and clock errors ● QZSS ● Space to Earth ● Code doppler ● Position calculation ● Terrestrial SBAS Signals ● Initial synchronization performance ● Underdetermined solutions Differential Satnav ● Building and vegetation effects ● L1 SBAS Assessment ● L5 SBAS ● Other aspects of acquisition Dealing with Interference Block Processing and Assisted Errors in Satnav ● Interference effects Satnav ● Error sources and error Overview of Receiver Tracking Loops ● Interference mitigation budgets Processing ● Design Dealing with Multipath ● Dilution of precision ● Implementation and tradeoffs Galileo System and Signals ● Error measures and relation- Receiver Front End Design ● Carrier tracking ● Overview Course Wrap-up ships among error measures ● Noise figure ● Frequency-locked loop design and ● E1 OS ● Receive antennas and filters performance ● E1 PRS ● Active components ● Costas loop design and ● E6 CS ● Architectures performance ● E6 PRS ● Phase-locked loop design and performance ● Tradeoffs

Description  Notes and references of advance study materials we be sent ahead for review prior This 5-day course enables attendees to achieve proficiency, not merely to the course. familiarity, with the essential aspects of using GPS/GNSS signals. Not only does  Ability to use Adobe Acrobat sticky notes on electronic course notes. it thoroughly address current and future GPS signals, but it also drills deeply  NavtechGPS Glossary of GNSS Acronyms. into available details of signals from other satellite-based positioning and timing  A black and white hard copy of the course notes. systems. As attendees understand similarities and distinctions among different  Textbook: Engineering Satellite-Based Navigation & Timing: GNSS, Signals, & systems and signals, they will become equipped to take advantage of signals Receivers, J. Betz, Wiley-IEEE Press, 2015. from multiple systems. Receiver processing techniques are described along with ways to characterize Book Allowance the performance of receiver processing. These processing techniques are Book allowances for private group contracts, if any, are negotiated as part of the customized to specific characteristics of signals from GPS and other satnav contract. For your allowance, we encourage you to consider the book by John Betz, systems. Specialized topics, including dealing with interference and with Ph.D., Engineering Satellite-Based Navigation & Timing: GNSS, Signals, & multipath, differential satnav, and assisted satnav, are also addressed. Receivers, Betz. Wiley-IEEE Press, 2015. Attendees will be given review questions each day that will be reviewed in Instructor What Attendees Have Said class the following morning. These review problems and solutions help attendees “He [Dr. John Betz] had a very methodical and logical way to present understand and apply key concepts. the material and build on it. It was very effective. He took questions Course Objectives well and answered them thoroughly and encouraged questions. To develop proficiency with advanced receiver processing of modernized and new Understanding the trade-offs that Dr. Betz presented in an elegant way signals from GPS, GLONASS, Galileo, BeiDou, and QZSS, supplemented by helps us decipher when and how to use the different parameters for systems engineering skills, integrated with techniques for assessing performance Dr. John Betz, receiver design and signal processing and which techniques to use. and performing design trades concerning receiver processing. — Gina Guiducci, U.S. Army, Aberdeen Proving Grounds, January 2017 Prerequisites Attendees should have a solid background in GPS and be ready to develop “Main objectives: To learn more about GPS/GNSS receiver algorithms. To advanced skills. Prior exposure to basic signal processing techniques and learn more about GNSS signals. The course met and exceeded my objectives. terminology as well as familiarity with engineering mathematics is needed. I especially like the review questions. I also like the real-world examples and anecdotes from Dr. Betz’s experience developing real systems.” Materials You Will Keep — Patrick Pitoscia, U.S. Army  A color electronic copy of all course notes, including review questions and solutions, will be provided in advance on a USB drive or CD-ROM.

FOR MORE: Contact Trevor Boynton, [email protected] or Carolyn McDonald, [email protected]. (703) 256-8900 13 REGISTER TODAY! (Tentative Registrations Accepted) 2021 GNSS Courses for Engineers and Technical Professionals November 2–5, 2021  Taught Remotely “The video quality was excellent; I am very pleased with the Webex platform. I don’t feel as though going through the course remotely had any negative impact. It was still very personal, easy to ask questions, and I enjoyed the banter over coffee in the morning even if we were all scattered across the world. Mr. Boynton, Ms. McDonald, and Dr. Hegarty were so friendly and welcoming. This was such a great experience.” — Shealyn Greer, Trident Research (July 2020)

ATTN: Download and save form BEFORE completing. Email to: [email protected]; Fax : +1-703-256-8988. Questions: +1-703-256-8900

Choose Select Your Course (Week of November 2-5, 2021) Media Individual Attendee Fees

Course Name Dates USB SELECT COURSE CD-ROM Public CEUs US Govt*

 346: GPS/GNSS Operation for Engineers and Technical NOVEMBER 2-5   $2899 2.4 $2699** Professionals. (4 days)† (Select Book Choice Below) 9 AM to 4:30 PM EST 122: GPS Fundamentals and Enhancements (Days 1 and 2 of  NOVEMBER 2-3 Course 346) (2 days) † (Book provided: GPS Basics for Technical   $1499 1.2 $1349** 9 AM to 4:30 PM EST Professionals, Pratap Misra, Ph.D.)

Course notes are provided on CD-ROM or USB drive (as well as on paper in black and white). PLEASE SELECT MEDIA For group discounts, contact Trevor Boynton at +1-571-226-0649, or [email protected] **Courtesy U.S. federal government/U.S. military discount. †NavtechGPS is a Florida approved provider for Courses 122 and 346.

Course 346 Attendees: CHOOSE ONE  Understanding GPS: Principles and Applications, 3rd ed., Elliott Kaplan & Chris Hegarty, Eds., Artech House, 2017. Note: This book is print to order and may arrive after the start of the course.  Global Positioning System: Signals, Measurement and Performance, P. Misra and P. Enge, 2nd ed., 2011  Engineering Satellite-Based Navigation & Timing: GNSS, Signals and Receivers, John Betz, Ph.D., 2015  Introduction to GPS: the Global Positioning System, 2nd Ed., A. El-Rabbany, 2006

Check out our other GNSS titles at https://www.navtechgps.com/departments/books/all-books/

We can accept registrations the day before the course starts, but we cannot guarantee on-time arrival of materials unless we receive registration and payment two weeks before the course starts.

Billing Office Contact (If Any): *______*______Title First Name Middle Initial Last (Family Name) Billing Office Email (If Any): *______Cell Phone: *______Fax: : *______

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Attendee Email: *______Attendee Cell Phone: *______Office Phone:* ______*Required Information Check here  if you require a formal invoice. Payment method:  Credit card (We will send you a credit card link for payment after the the minimum course attendance is confirmed.A 2.75% processing fee will be added.)  Wire Transfer (Please send me wire transfer instructions. Note: NavtechGPS does NOT charge a processing fee for wire transfers.)  A purchase order or training form will be sent to the attention of Trevor Boynton at the address below.  Check to be made payable to NavtechGPS and mailed to the address below. Questions? Call or email Trevor Boynton, [email protected] or Carolyn McDonald, [email protected] NavtechGPS  5500 Cherokee Avenue  Suite 440  Alexandria, VA 22312-2321 USA  +1-703-256-8900 COURSE CODE: 2103 REGISTER TODAY! (Tentative Registrations Accepted) 557: Inertial Systems, Kalman Filtering, and GPS/INS Integration Taught Remotely  December 13–17, 2021

“I have recently become interested in learning about strapdown navigation. My objective was to increase my exposure to the topic and gain a more solid overview. This course met and exceeded my objectives.” — Kenneth Bentley, USAF, July 2020

ATTN: Download and save form BEFORE completing. Email to: [email protected]; Fax to: +1-703-256-8988. Questions: +1-703-256-8900 Choose Check One Select Your Course (WEEK OF December 13 – 17 , 2021) Media Individual Attendee Fee

Fee Fee

Course Name Dates USB

CD-ROM Public CEUs US Govt* REMOTE In Person 557A: Inertial Systems, Kalman Filtering, and GPS/INS Integration   DECEMBER 13-17 (This is the FULL enhanced 5-day course. See our website for   $3299 3.0 $2999** 9 AM to 4:30 PM EST details.)   557B: Inertial Systems, Kalman Filtering, and GPS/INS Integration DECEMBER 13-17 (No Review). I want to opt out of the morning of Course 557; 9:00 AM to 4:30 PM*   $3249 2.7 $2984** I do not need the review, which reduces my fee. (4.5 Days) *Monday start *Monday start time is 1PM for 557B. 1PM EST Course notes are provided on CD-ROM or USB drive (as well as on paper in black and white). PLEASE SELECT MEDIA For group discounts, contact Trevor Boynton at +1-571-226-0649, or [email protected] **Courtesy U.S. federal government/U.S. military discount. †NavtechGPS is a Florida approved provider for Courses 122 and 346.

We can accept registrations the day before the course starts, but we cannot guarantee on-time arrival of materials unless we receive registration and payment two weeks before the course starts.

Billing Office Contact (If Any): *______*______Title First Name Middle Initial Last (Family Name) Billing Office Email (If Any): *______Cell Phone: *______Fax: : *______

Attendee Name: *______* ______*______Title First Name Middle Initial Last (Family Name) Attendee Organization:*______Internal Mail Stop:* ______Fax:* ______

Attendee Address:* ______City: *______

Attendee State/Province:* ______Zip/Postal Code: *______Country: : *______

Attendee Email: *______Attendee Cell Phone: *______Office Phone:* ______*Required Information Check here  if you require a formal invoice. Payment method:  Credit card (We will send you a credit card link for payment after the the minimum course attendance is confirmed.A 2.75% processing fee will be added.)  Wire Transfer (Please send me wire transfer instructions. Note: NavtechGPS does NOT charge a processing fee for wire transfers.)  A purchase order or training form will be sent to the attention of Trevor Boynton at the address below.  Check to be made payable to NavtechGPS and mailed to the address below. Questions? Call or email Trevor Boynton, [email protected] or Carolyn McDonald, [email protected] NavtechGPS  5500 Cherokee Avenue  Suite 440  Alexandria, VA 22312-2321 USA  +1-703-256-8900 COURSE CODE: 2104 REGISTER TODAY! (Tentative Registrations Accepted) Course 551: Using Advanced GPS/GNSS Signals and Systems Taught Remotely  February 7– 11, 2022

“Main objectives: To learn more about GPS/GNSS receiver algorithms. To learn more about GNSS signals. The course met and exceeded my objectives. I especially like the review questions. I also like the real-world examples and anecdotes from Dr. Betz’s experience developing real systems.” — Patrick Pitoscia, U.S. Army

ATTN: Download and save form BEFORE completing. Email to: [email protected]; Fax to: +1-703-256-8988. Questions: +1-703-256-8900 Choose Check One February 7 – 11 , 2022 Media Individual Attendee Fee

Course Name Dates USB

CD-ROM Public CEUs US Govt* REMOTE  551: Using Advanced GPS/GNSS Signals and Systems (This is a FULL 5-day course. Homework reading materials February 7-11, 2022   $3299 3.0 $2999** will be sent approximantely 7 days prior to paid registered 9 AM to 4:30 PM EST attendees) Text book included with this course: Engineering Satellite-Based Navigation & Timing: GNSS, Signals, & Receivers, Betz. Wiley-IEEE Press, 2015.

Course notes are provided on CD-ROM or USB drive (as well as on paper in black and white). PLEASE SELECT MEDIA For group discounts, contact Trevor Boynton at +1-571-226-0649, or [email protected] **Courtesy U.S. federal government/U.S. military discount.

We can accept registrations the day before the course starts, but we cannot guarantee on-time arrival of materials unless we receive registration and payment two weeks before the course starts.

Billing Office Contact (If Any): *______*______Title First Name Middle Initial Last (Family Name) Billing Office Email (If Any): *______Cell Phone: *______Fax: : *______

Attendee Name: *______* ______*______Title First Name Middle Initial Last (Family Name) Attendee Organization:*______Internal Mail Stop:* ______Fax:* ______

Attendee Address:* ______City: *______

Attendee State/Province:* ______Zip/Postal Code: *______Country: : *______

Attendee Email: *______Attendee Cell Phone: *______Office Phone:* ______*Required Information Check here  if you require a formal invoice. Payment method:  Credit card (We will send you a credit card link for payment after the the minimum course attendance is confirmed.A 2.75% processing fee will be added.)  Wire Transfer (Please send me wire transfer instructions. Note: NavtechGPS does NOT charge a processing fee for wire transfers.)  A purchase order or training form will be sent to the attention of Trevor Boynton at the address below.  Check to be made payable to NavtechGPS and mailed to the address below. Questions? Call or email Trevor Boynton, [email protected] or Carolyn McDonald, [email protected] NavtechGPS  5500 Cherokee Avenue  Suite 440  Alexandria, VA 22312-2321 USA  +1-703-256-8900 COURSE CODE: 2201