Single Sideband Modulation

Total Page:16

File Type:pdf, Size:1020Kb

Single Sideband Modulation EE 460 – Introduction to Communication Systems MATLAB Tutorial #6 Single Sideband Modulation This tutorial describes the use of MATLAB to simulate a SSB modulator. Most of the methods used here have been introduced in previous MATLAB Tutorials for this course. Double Sideband Modulators A simple single sideband modulator can be modeled using Simulink. We want to generate a lower sideband signal from a 1 KHz baseband signal and a 20 KHz carrier. The first step is to multiply the baseband signal with the carrier to create a double sideband signal. This can be accomplished with the Simulink model shown in figure 1. Figure 1. DSB Model in Simulink Set the sample time so that you have at least 10 samples per cycle of the carrier wave. Before performing the simulation we need to set the Configuration Parameters. Set the simulation time to run for 5 cycles of the baseband signal. Run the simulation and observe the waveform and spectrum of the DSB signal to confirm that you are getting what is expected. Creating a Sideband Filter The next step is to create and apply a low pass filter to produce a lower sideband signal from the double sideband signal. In this example we use the Lowpass filter block found in the DSP System Toolbox ! Filtering ! Filter Designs sublibrary. Modify your model to match the one shown in Figure 2 below. Figure 2. Simulink Model of a SSB Modulator Open the Lowpass Filter block to set the parameters as follows: • Impulse Response: FIR • Order mode: Specify • Order: 20 • Filter type: Single-rate • Frequency constraints: Passband edge and stop band edge • Frequency units: Hz • Input Fs: use the recipricol of the sample time used in the Sine wave blocks • Fpass: 19500 • Fstop: 20500 Run the simulation and observe the resulting waveform and spectrum. By zooming in on the spectrum you should observe that the upper sideband has only been attenuated by about 3 dB below the lower sideband. This is not sufficient sideband suppression. Open the filter block and change the Impulse Response setting to IIR. Re-run the simulation. How far is the upper sideband attenuated now? Next, change the filter order to 10. Re-run the simulation one more time. You should still observe order 60dB of sideband suppression. This tells you something about the difference in performance of IIR and FIR filters. .
Recommended publications
  • Optical Single Sideband for Broadband and Subcarrier Systems
    University of Alberta Optical Single Sideband for Broadband And Subcarrier Systems Robert James Davies 0 A thesis submitted to the faculty of Graduate Studies and Research in partial fulfillrnent of the requirernents for the degree of Doctor of Philosophy Department of Electrical And Computer Engineering Edmonton, AIberta Spring 1999 National Library Bibliothèque nationale du Canada Acquisitions and Acquisitions et Bibliographie Services services bibliographiques 395 Wellington Street 395, rue Wellington Ottawa ON KlA ON4 Ottawa ON KIA ON4 Canada Canada Yom iUe Votre relérence Our iSie Norre reference The author has granted a non- L'auteur a accordé une licence non exclusive licence allowing the exclusive permettant à la National Library of Canada to Bibliothèque nationale du Canada de reproduce, loan, distribute or sell reproduire, prêter, distribuer ou copies of this thesis in microform, vendre des copies de cette thèse sous paper or electronic formats. la forme de microfiche/nlm, de reproduction sur papier ou sur format électronique. The author retains ownership of the L'auteur conserve la propriété du copyright in this thesis. Neither the droit d'auteur qui protège cette thèse. thesis nor substantial extracts fkom it Ni la thèse ni des extraits substantiels may be printed or otheMrise de celle-ci ne doivent être Unprimés reproduced without the author's ou autrement reproduits sans son permission. autorisation. Abstract Radio systems are being deployed for broadband residential telecommunication services such as broadcast, wideband lntemet and video on demand. Justification for radio delivery centers on mitigation of problems inherent in subscriber loop upgrades such as Fiber to the Home (WH)and Hybrid Fiber Coax (HFC).
    [Show full text]
  • 3 Characterization of Communication Signals and Systems
    63 3 Characterization of Communication Signals and Systems 3.1 Representation of Bandpass Signals and Systems Narrowband communication signals are often transmitted using some type of carrier modulation. The resulting transmit signal s(t) has passband character, i.e., the bandwidth B of its spectrum S(f) = s(t) is much smaller F{ } than the carrier frequency fc. S(f) B f f f − c c We are interested in a representation for s(t) that is independent of the carrier frequency fc. This will lead us to the so–called equiv- alent (complex) baseband representation of signals and systems. Schober: Signal Detection and Estimation 64 3.1.1 Equivalent Complex Baseband Representation of Band- pass Signals Given: Real–valued bandpass signal s(t) with spectrum S(f) = s(t) F{ } Analytic Signal s+(t) In our quest to find the equivalent baseband representation of s(t), we first suppress all negative frequencies in S(f), since S(f) = S( f) is valid. − The spectrum S+(f) of the resulting so–called analytic signal s+(t) is defined as S (f) = s (t) =2 u(f)S(f), + F{ + } where u(f) is the unit step function 0, f < 0 u(f) = 1/2, f =0 . 1, f > 0 u(f) 1 1/2 f Schober: Signal Detection and Estimation 65 The analytic signal can be expressed as 1 s+(t) = − S+(f) F 1{ } = − 2 u(f)S(f) F 1{ } 1 = − 2 u(f) − S(f) F { } ∗ F { } 1 The inverse Fourier transform of − 2 u(f) is given by F { } 1 j − 2 u(f) = δ(t) + .
    [Show full text]
  • Radio Communications in the Digital Age
    Radio Communications In the Digital Age Volume 1 HF TECHNOLOGY Edition 2 First Edition: September 1996 Second Edition: October 2005 © Harris Corporation 2005 All rights reserved Library of Congress Catalog Card Number: 96-94476 Harris Corporation, RF Communications Division Radio Communications in the Digital Age Volume One: HF Technology, Edition 2 Printed in USA © 10/05 R.O. 10K B1006A All Harris RF Communications products and systems included herein are registered trademarks of the Harris Corporation. TABLE OF CONTENTS INTRODUCTION...............................................................................1 CHAPTER 1 PRINCIPLES OF RADIO COMMUNICATIONS .....................................6 CHAPTER 2 THE IONOSPHERE AND HF RADIO PROPAGATION..........................16 CHAPTER 3 ELEMENTS IN AN HF RADIO ..........................................................24 CHAPTER 4 NOISE AND INTERFERENCE............................................................36 CHAPTER 5 HF MODEMS .................................................................................40 CHAPTER 6 AUTOMATIC LINK ESTABLISHMENT (ALE) TECHNOLOGY...............48 CHAPTER 7 DIGITAL VOICE ..............................................................................55 CHAPTER 8 DATA SYSTEMS .............................................................................59 CHAPTER 9 SECURING COMMUNICATIONS.....................................................71 CHAPTER 10 FUTURE DIRECTIONS .....................................................................77 APPENDIX A STANDARDS
    [Show full text]
  • 2 the Wireless Channel
    CHAPTER 2 The wireless channel A good understanding of the wireless channel, its key physical parameters and the modeling issues, lays the foundation for the rest of the book. This is the goal of this chapter. A defining characteristic of the mobile wireless channel is the variations of the channel strength over time and over frequency. The variations can be roughly divided into two types (Figure 2.1): • Large-scale fading, due to path loss of signal as a function of distance and shadowing by large objects such as buildings and hills. This occurs as the mobile moves through a distance of the order of the cell size, and is typically frequency independent. • Small-scale fading, due to the constructive and destructive interference of the multiple signal paths between the transmitter and receiver. This occurs at the spatialscaleoftheorderofthecarrierwavelength,andisfrequencydependent. We will talk about both types of fading in this chapter, but with more emphasis on the latter. Large-scale fading is more relevant to issues such as cell-site planning. Small-scale multipath fading is more relevant to the design of reliable and efficient communication systems – the focus of this book. We start with the physical modeling of the wireless channel in terms of elec- tromagnetic waves. We then derive an input/output linear time-varying model for the channel, and define some important physical parameters. Finally, we introduce a few statistical models of the channel variation over time and over frequency. 2.1 Physical modeling for wireless channels Wireless channels operate through electromagnetic radiation from the trans- mitter to the receiver.
    [Show full text]
  • 7.3.7 Video Cassette Recorders (VCR) 7.3.8 Video Disk Recorders
    /7 7.3.5 Fiber-Optic Cables (FO) 7.3.6 Telephone Company Unes (TELCO) 7.3.7 Video Cassette Recorders (VCR) 7.3.8 Video Disk Recorders 7.4 Transmission Security 8. Consumer Equipment Issues 8.1 Complexity of Receivers 8.2 Receiver Input/Output Characteristics 8.2.1 RF Interface 8.2.2 Baseband Video Interface 8.2.3 Baseband Audio Interface 8.2.4 Interfacing with Ancillary Signals 8.2.5 Receiver Antenna Systems Requirements 8.3 Compatibility with Existing NTSC Consumer Equipment 8.3.1 RF Compatibility 8.3.2 Baseband Video Compatibility 8.3.3 Baseband Audio Compatibility 8.3.4 IDTV Receiver Compatibility 8.4 Allows Multi-Standard Display Devices 9. Other Considerations 9.1 Practicality of Near-Term Technological Implementation 9.2 Long-Term Viability/Rate of Obsolescence 9.3 Upgradability/Extendability 9.4 Studio/Plant Compatibility Section B: EXPLANATORY NOTES OF ATTRIBUTES/SYSTEMS MATRIX Items on the Attributes/System Matrix for which no explanatory note is provided were deemed to be self-explanatory. I. General Description (Proponent) section I shall be used by a system proponent to define the features of the system being proposed. The features shall be defined and organized under the headings ot the following subsections 1 through 4. section I. General Description (Proponent) shall consist of a description of the proponent system in narrative form, which covers all of the features and characteris­ tics of the system which the proponent wishe. to be included in the public record, and which will be used by various groups to analyze and understand the system proposed, and to compare with other propo.ed systems.
    [Show full text]
  • Of Single Sideband Demodulation by Richard Lyons
    Understanding the 'Phasing Method' of Single Sideband Demodulation by Richard Lyons There are four ways to demodulate a transmitted single sideband (SSB) signal. Those four methods are: • synchronous detection, • phasing method, • Weaver method, and • filtering method. Here we review synchronous detection in preparation for explaining, in detail, how the phasing method works. This blog contains lots of preliminary information, so if you're already familiar with SSB signals you might want to scroll down to the 'SSB DEMODULATION BY SYNCHRONOUS DETECTION' section. BACKGROUND I was recently involved in trying to understand the operation of a discrete SSB demodulation system that was being proposed to replace an older analog SSB demodulation system. Having never built an SSB system, I wanted to understand how the "phasing method" of SSB demodulation works. However, in searching the Internet for tutorial SSB demodulation information I was shocked at how little information was available. The web's wikipedia 'single-sideband modulation' gives the mathematical details of SSB generation [1]. But SSB demodulation information at that web site was terribly sparse. In my Internet searching, I found the SSB information available on the net to be either badly confusing in its notation or downright ambiguous. That web- based material showed SSB demodulation block diagrams, but they didn't show spectra at various stages in the diagrams to help me understand the details of the processing. A typical example of what was frustrating me about the web-based SSB information is given in the analog SSB generation network shown in Figure 1. x(t) cos(ωct) + 90o 90o y(t) – sin(ωct) Meant to Is this sin(ω t) represent the c Hilbert or –sin(ωct) Transformer.
    [Show full text]
  • Baseband Harmonic Distortions in Single Sideband Transmitter and Receiver System
    Baseband Harmonic Distortions in Single Sideband Transmitter and Receiver System Kang Hsia Abstract: Telecommunications industry has widely adopted single sideband (SSB or complex quadrature) transmitter and receiver system, and one popular implementation for SSB system is to achieve image rejection through quadrature component image cancellation. Typically, during the SSB system characterization, the baseband fundamental tone and also the harmonic distortion products are important parameters besides image and LO feedthrough leakage. To ensure accurate characterization, the actual frequency locations of the harmonic distortion products are critical. While system designers may be tempted to assume that the harmonic distortion products are simply up-converted in the same fashion as the baseband fundamental frequency component, the actual distortion products may have surprising results and show up on the different side of spectrum. This paper discusses the theory of SSB system and the actual location of the baseband harmonic distortion products. Introduction Communications engineers have utilized SSB transmitter and receiver system because it offers better bandwidth utilization than double sideband (DSB) transmitter system. The primary cause of bandwidth overhead for the double sideband system is due to the image component during the mixing process. Given data transmission bandwidth of B, the former requires minimum bandwidth of B whereas the latter requires minimum bandwidth of 2B. While the filtering of the image component is one type of SSB implementation, another type of SSB system is to create a quadrature component of the signal and ideally cancels out the image through phase cancellation. M(t) M(t) COS(2πFct) Baseband Message Signal (BB) Modulated Signal (RF) COS(2πFct) Local Oscillator (LO) Signal Figure 1.
    [Show full text]
  • Baseband Video Testing with Digital Phosphor Oscilloscopes
    Application Note Baseband Video Testing With Digital Phosphor Oscilloscopes Video signals are complex pose instrument that can pro- This application note demon- waveforms comprised of sig- vide accurate information – strates the use of a Tektronix nals representing a picture as quickly and easily. Finally, to TDS 700D-series Digital well as the timing informa- display all of the video wave- Phosphor Oscilloscope to tion needed to display the form details, a fast acquisi- make a variety of common picture. To capture and mea- tion technology teamed with baseband video measure- sure these complex signals, an intensity-graded display ments and examines some of you need powerful instru- give the confidence and the critical measurement ments tailored for this appli- insight needed to detect and issues. cation. But, because of the diagnose problems with the variety of video standards, signal. you also need a general-pur- Copyright © 1998 Tektronix, Inc. All rights reserved. Video Basics Video signals come from a for SMPTE systems, etc. The active portion of the video number of sources, including three derived component sig- signal. Finally, the synchro- cameras, scanners, and nals can then be distributed nization information is graphics terminals. Typically, for processing. added. Although complex, the baseband video signal Processing this composite signal is a sin- begins as three component gle signal that can be carried analog or digital signals rep- In the processing stage, video on a single coaxial cable. resenting the three primary component signals may be combined to form a single Component Video Signals. color elements – the Red, Component signals have an Green, and Blue (RGB) com- composite video signal (as in NTSC or PAL systems), advantage of simplicity in ponent signals.
    [Show full text]
  • Digital Baseband Modulation Outline • Later Baseband & Bandpass Waveforms Baseband & Bandpass Waveforms, Modulation
    Digital Baseband Modulation Outline • Later Baseband & Bandpass Waveforms Baseband & Bandpass Waveforms, Modulation A Communication System Dig. Baseband Modulators (Line Coders) • Sequence of bits are modulated into waveforms before transmission • à Digital transmission system consists of: • The modulator is based on: • The symbol mapper takes bits and converts them into symbols an) – this is done based on a given table • Pulse Shaping Filter generates the Gaussian pulse or waveform ready to be transmitted (Baseband signal) Waveform; Sampled at T Pulse Amplitude Modulation (PAM) Example: Binary PAM Example: Quaternary PAN PAM Randomness • Since the amplitude level is uniquely determined by k bits of random data it represents, the pulse amplitude during the nth symbol interval (an) is a discrete random variable • s(t) is a random process because pulse amplitudes {an} are discrete random variables assuming values from the set AM • The bit period Tb is the time required to send a single data bit • Rb = 1/ Tb is the equivalent bit rate of the system PAM T= Symbol period D= Symbol or pulse rate Example • Amplitude pulse modulation • If binary signaling & pulse rate is 9600 find bit rate • If quaternary signaling & pulse rate is 9600 find bit rate Example • Amplitude pulse modulation • If binary signaling & pulse rate is 9600 find bit rate M=2à k=1à bite rate Rb=1/Tb=k.D = 9600 • If quaternary signaling & pulse rate is 9600 find bit rate M=2à k=1à bite rate Rb=1/Tb=k.D = 9600 Binary Line Coding Techniques • Line coding - Mapping of binary information sequence into the digital signal that enters the baseband channel • Symbol mapping – Unipolar - Binary 1 is represented by +A volts pulse and binary 0 by no pulse during a bit period – Polar - Binary 1 is represented by +A volts pulse and binary 0 by –A volts pulse.
    [Show full text]
  • An Analysis of a Quadrature Double-Sideband/Frequency Modulated Communication System
    Scholars' Mine Masters Theses Student Theses and Dissertations 1970 An analysis of a quadrature double-sideband/frequency modulated communication system Denny Ray Townson Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses Part of the Electrical and Computer Engineering Commons Department: Recommended Citation Townson, Denny Ray, "An analysis of a quadrature double-sideband/frequency modulated communication system" (1970). Masters Theses. 7225. https://scholarsmine.mst.edu/masters_theses/7225 This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected]. AN ANALYSIS OF A QUADRATURE DOUBLE- SIDEBAND/FREQUENCY MODULATED COMMUNICATION SYSTEM BY DENNY RAY TOWNSON, 1947- A THESIS Presented to the Faculty of the Graduate School of the UNIVERSITY OF MISSOURI - ROLLA In Partial Fulfillment of the Requirements for the Degree MASTER OF SCIENCE IN ELECTRICAL ENGINEERING 1970 ii ABSTRACT A QDSB/FM communication system is analyzed with emphasis placed on the QDSB demodulation process and the AGC action in the FM transmitter. The effect of noise in both the pilot and message signals is investigated. The detection gain and mean square error is calculated for the QDSB baseband demodulation process. The mean square error is also evaluated for the QDSB/FM system. The AGC circuit is simulated on a digital computer. Errors introduced into the AGC system are analyzed with emphasis placed on nonlinear gain functions for the voltage con­ trolled amplifier.
    [Show full text]
  • The Future of Passive Multiplexing & Multiplexing Beyond
    The Future of Passive Multiplexing & Multiplexing Beyond 10G From 1G to 10G was easy But Beyond 10G? 1G CWDM/DWDM 10G CWDM/DWDM 25G 40G Dark Fiber Passive Multiplexer 100G ? 400G Ingredients for Multiplexing 1) Dark Fiber 2) Multiplexers 3) Light : Transceivers Ingredients for Multiplexing 1) Dark Fiber 2 Multiplexer 3 Light + Transceiver Dark Fiber Attenuation → 0 km → → 40 km → → 80 km → Dispersion → 0 km → → 40 km → → 80 km → Dark Fiber Dispersion @1G DWDM max 200km → 0 km → → 40 km → → 80 km → @10G DWDM max 80km → 0 km → → 40 km → → 80 km → @25G DWDM max 15km → 0 km → → 40 km → → 80 km → Dark Fiber Attenuation → 80 km → 1310nm Window 1550nm/DWDM Dispersion → 80 km → Ingredients for Multiplexing 1 Dark FiBer 2) Multiplexers 3 Light + Transceiver Passive Mux Multiplexers 2 types • Cascaded TFF • AWG 95% of all Communication -Larger Multiplexers such as 40Ch/96Ch Multiplexers TFF: Thin film filter • Metal or glass tuBes 2cm*4mm • 3 fiBers: com / color / reflect • Each tuBe has 0.3dB loss • 95% of Muxes & OADM Multiplexers ABS casing Multiplexers AWG: arrayed wave grading -Larger muxes such as 40Ch/96Ch -Lower loss -Insertion loss 40ch = 3.0dB DWDM33 Transmission Window AWG Gaussian Fit Attenuation DWDM33 Low attenuation Small passband Reference passBand DWDM33 Isolation Flat Top Higher attenuation Wide passband DWDM light ALL TFF is Flat top Transmission Wave Types Flat Top: OK DWDM 10G Coherent 100G Gaussian Fit not OK DWDM PAM4 Ingredients for Multiplexing 1 Dark FiBer 2 Multiplexer 3) Light: Transceivers ITU Grids LWDM DWDM CWDM Attenuation
    [Show full text]
  • NRSC-G202 FM IBOC Total Digital Sideband Power
    NRSC GUIDELINE NATIONAL RADIO SYSTEMS COMMITTEE NRSC-G202-A FM IBOC Total Digital Sideband Power for Various Configurations April 2016 NAB: 1771 N Street, N.W. 1919 South Eads Street Washington, DC 20036 Arlington, VA 22202 Tel: 202-429-5356 Tel: 703-907-7660 Co-sponsored by the Consumer Technology Association and the National Association of Broadcasters http://www.nrscstandards.org NRSC GUIDELINE NATIONAL RADIO SYSTEMS COMMITTEE NRSC-G202-A FM IBOC Total Digital Sideband Power for Various Configurations April 2016 NAB: 1771 N Street, N.W. 1919 South Eads Street Washington, DC 20036 Arlington, VA 22202 Tel: 202-429-5356 Fax: 202-517-1617 Tel: 703-907-4366 Fax: 703-907-4158 Co-sponsored by the Consumer Technology Association and the National Association of Broadcasters http://www.nrscstandards.org NRSC-G202-A NOTICE NRSC Standards, Guidelines, Reports and other technical publications are designed to serve the public interest through eliminating misunderstandings between manufacturers and purchasers, facilitating interchangeability and improvement of products, and assisting the purchaser in selecting and obtaining with minimum delay the proper product for his particular need. Existence of such Standards, Guidelines, Reports and other technical publications shall not in any respect preclude any member or nonmember of the Consumer Technology Association (CTA) or the National Association of Broadcasters (NAB) from manufacturing or selling products not conforming to such Standards, Guidelines, Reports and other technical publications, nor shall the existence of such Standards, Guidelines, Reports and other technical publications preclude their voluntary use by those other than CTA or NAB members, whether to be used either domestically or internationally.
    [Show full text]