Technical Analysis: Beamforming Vs. MIMO Antennas
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Radiometry and the Friis Transmission Equation Joseph A
Radiometry and the Friis transmission equation Joseph A. Shaw Citation: Am. J. Phys. 81, 33 (2013); doi: 10.1119/1.4755780 View online: http://dx.doi.org/10.1119/1.4755780 View Table of Contents: http://ajp.aapt.org/resource/1/AJPIAS/v81/i1 Published by the American Association of Physics Teachers Related Articles The reciprocal relation of mutual inductance in a coupled circuit system Am. J. Phys. 80, 840 (2012) Teaching solar cell I-V characteristics using SPICE Am. J. Phys. 79, 1232 (2011) A digital oscilloscope setup for the measurement of a transistor’s characteristic curves Am. J. Phys. 78, 1425 (2010) A low cost, modular, and physiologically inspired electronic neuron Am. J. Phys. 78, 1297 (2010) Spreadsheet lock-in amplifier Am. J. Phys. 78, 1227 (2010) Additional information on Am. J. Phys. Journal Homepage: http://ajp.aapt.org/ Journal Information: http://ajp.aapt.org/about/about_the_journal Top downloads: http://ajp.aapt.org/most_downloaded Information for Authors: http://ajp.dickinson.edu/Contributors/contGenInfo.html Downloaded 07 Jan 2013 to 153.90.120.11. Redistribution subject to AAPT license or copyright; see http://ajp.aapt.org/authors/copyright_permission Radiometry and the Friis transmission equation Joseph A. Shaw Department of Electrical & Computer Engineering, Montana State University, Bozeman, Montana 59717 (Received 1 July 2011; accepted 13 September 2012) To more effectively tailor courses involving antennas, wireless communications, optics, and applied electromagnetics to a mixed audience of engineering and physics students, the Friis transmission equation—which quantifies the power received in a free-space communication link—is developed from principles of optical radiometry and scalar diffraction. -
25. Antennas II
25. Antennas II Radiation patterns Beyond the Hertzian dipole - superposition Directivity and antenna gain More complicated antennas Impedance matching Reminder: Hertzian dipole The Hertzian dipole is a linear d << antenna which is much shorter than the free-space wavelength: V(t) Far field: jk0 r j t 00Id e ˆ Er,, t j sin 4 r Radiation resistance: 2 d 2 RZ rad 3 0 2 where Z 000 377 is the impedance of free space. R Radiation efficiency: rad (typically is small because d << ) RRrad Ohmic Radiation patterns Antennas do not radiate power equally in all directions. For a linear dipole, no power is radiated along the antenna’s axis ( = 0). 222 2 I 00Idsin 0 ˆ 330 30 Sr, 22 32 cr 0 300 60 We’ve seen this picture before… 270 90 Such polar plots of far-field power vs. angle 240 120 210 150 are known as ‘radiation patterns’. 180 Note that this picture is only a 2D slice of a 3D pattern. E-plane pattern: the 2D slice displaying the plane which contains the electric field vectors. H-plane pattern: the 2D slice displaying the plane which contains the magnetic field vectors. Radiation patterns – Hertzian dipole z y E-plane radiation pattern y x 3D cutaway view H-plane radiation pattern Beyond the Hertzian dipole: longer antennas All of the results we’ve derived so far apply only in the situation where the antenna is short, i.e., d << . That assumption allowed us to say that the current in the antenna was independent of position along the antenna, depending only on time: I(t) = I0 cos(t) no z dependence! For longer antennas, this is no longer true. -
Design and Application of a New Planar Balun
DESIGN AND APPLICATION OF A NEW PLANAR BALUN Younes Mohamed Thesis Prepared for the Degree of MASTER OF SCIENCE UNIVERSITY OF NORTH TEXAS May 2014 APPROVED: Shengli Fu, Major Professor and Interim Chair of the Department of Electrical Engineering Hualiang Zhang, Co-Major Professor Hyoung Soo Kim, Committee Member Costas Tsatsoulis, Dean of the College of Engineering Mark Wardell, Dean of the Toulouse Graduate School Mohamed, Younes. Design and Application of a New Planar Balun. Master of Science (Electrical Engineering), May 2014, 41 pp., 2 tables, 29 figures, references, 21 titles. The baluns are the key components in balanced circuits such balanced mixers, frequency multipliers, push–pull amplifiers, and antennas. Most of these applications have become more integrated which demands the baluns to be in compact size and low cost. In this thesis, a new approach about the design of planar balun is presented where the 4-port symmetrical network with one port terminated by open circuit is first analyzed by using even- and odd-mode excitations. With full design equations, the proposed balun presents perfect balanced output and good input matching and the measurement results make a good agreement with the simulations. Second, Yagi-Uda antenna is also introduced as an entry to fully understand the quasi-Yagi antenna. Both of the antennas have the same design requirements and present the radiation properties. The arrangement of the antenna’s elements and the end-fire radiation property of the antenna have been presented. Finally, the quasi-Yagi antenna is used as an application of the balun where the proposed balun is employed to feed a quasi-Yagi antenna. -
University of Cincinnati
UNIVERSITY OF CINCINNATI _____________ , 20 _____ I,______________________________________________, hereby submit this as part of the requirements for the degree of: ________________________________________________ in: ________________________________________________ It is entitled: ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ Approved by: ________________________ ________________________ ________________________ ________________________ ________________________ Digital Direction Finding System Design and Analysis A thesis submitted to the Division of Graduate Studies and Research of the University of Cincinnati in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE (M.S.) in the Department of Electrical & Computer Engineering and Computer Science of the College of Engineering 2003 by Huazhou Liu B.E., Xi’an Jiaotong University P. R. China, 2000 Committee Chair: Professor Howard Fan ABSTRACT Direction Finding (DF) system is used in many military and civilian operations such as surveillance, reconnaissance, and rescue, etc. In the past years, direction finding system is implemented usually using analog RF techniques such as Butler matrix and analog beamforming. Analog direction finding systems have drawbacks inherent from their analog properties such as expensive implementation, inflexibility to adjust or change functionality, intensive calibration procedures and -
ANTENNA INTRODUCTION / BASICS Rules of Thumb
ANTENNA INTRODUCTION / BASICS Rules of Thumb: 1. The Gain of an antenna with losses is given by: Where BW are the elev & az another is: 2 and N 4B0A 0 ' Efficiency beamwidths in degrees. G • Where For approximating an antenna pattern with: 2 A ' Physical aperture area ' X 0 8 G (1) A rectangle; X'41253,0 '0.7 ' BW BW typical 8 wavelength N 2 ' ' (2) An ellipsoid; X 52525,0typical 0.55 2. Gain of rectangular X-Band Aperture G = 1.4 LW Where: Length (L) and Width (W) are in cm 3. Gain of Circular X-Band Aperture 3 dB Beamwidth G = d20 Where: d = antenna diameter in cm 0 = aperture efficiency .5 power 4. Gain of an isotropic antenna radiating in a uniform spherical pattern is one (0 dB). .707 voltage 5. Antenna with a 20 degree beamwidth has a 20 dB gain. 6. 3 dB beamwidth is approximately equal to the angle from the peak of the power to Peak power Antenna the first null (see figure at right). to first null Radiation Pattern 708 7. Parabolic Antenna Beamwidth: BW ' d Where: BW = antenna beamwidth; 8 = wavelength; d = antenna diameter. The antenna equations which follow relate to Figure 1 as a typical antenna. In Figure 1, BWN is the azimuth beamwidth and BW2 is the elevation beamwidth. Beamwidth is normally measured at the half-power or -3 dB point of the main lobe unless otherwise specified. See Glossary. The gain or directivity of an antenna is the ratio of the radiation BWN BW2 intensity in a given direction to the radiation intensity averaged over Azimuth and Elevation Beamwidths all directions. -
Radiation Pattern, Gain, and Directivity James Mclean, Robert Sutton, Rob Hoffman, TDK RF Solutions
Interpreting Antenna Performance Parameters for EMC Applications: Part 2: Radiation Pattern, Gain, and Directivity James McLean, Robert Sutton, Rob Hoffman, TDK RF Solutions This article is the second in a three-part tutorial series covering antenna terminology. As noted in the first part, a great deal of effort has been made over the years to standardize antenna terminology. The de facto standard is the IEEE Standard Definitions of Terms for Antennas, published in 1983. However, the EMC community has developed its own distinct vernacular which contains terms not included in the IEEE standard. In the first part of this series, we discussed radiation efficiency and input impedance match. In the second part of this series, we will discuss antenna field regions and antenna gain and how they relate to EMC measurements. Geometrical Considerations In order to quantitatively discuss radiation from antennas, it is necessary to first specify a coordinate system for describing the antenna and the associated electromagnetic fields. The most natural coordinate system for this task is the spherical coordinate system. This is because at a sufficient distance from an antenna (or any localized source of electromagnetic radiation), the electromagnetic fields must decay inversely with radial distance from the antenna (see references 1 and 2). Traditional spherical coordinates consist of a radial distance, an elevation angle, and an azimuthal angle as shown in Figure 1. The elevation angle is taken as the angle between a line drawn from the origin to the point and the z axis. The azimuthal angle is taken as the angle between the projection of this line in the x-y plane and the x axis. -
A Near Field Propagation Law & a Novel Fundamental Limit To
Preprint – Submitted to IEEE APS Conference July 2005; © 2005 Dr. Hans Schantz A Near Field Propagation Law & A Novel Fundamental Limit to Antenna Gain Versus Size Hans Gregory Schantz ([email protected]) The Q-Track Corporation; 515 Sparkman Drive; Huntsville, AL 35816 ABSTRACT This paper presents a theoretical analysis of the near field channel in free space. Then this paper validates the theoretical model by comparison to data measured in an open field. The results of this paper are important for low frequency RF systems, such as those operating at short range in the AM broadcast band. Finally this paper establishes a novel fundamental limit for antenna gain versus size. 1. INTRODUCTION The “leading edge” of RF practice moves to increasingly higher and higher frequency in lock step with advances in electronics technology. The most commercially significant RF systems are those operating at microwave frequencies and above, such as cellular telephones and wireless data networks. Microwave frequencies have the advantage of short wavelengths, making antenna design relatively straightforward, and vast expanses of spectrum, making large bandwidth, high data rate transmissions possible. There are many applications, however, that do not require large bandwidths. These include real time locating systems (RTLS) and low data rate communications systems, such as hands free wireless mikes or other voice or low data rate telemetry links. For applications like these, lower frequencies have great utility. Lower frequencies tend to be more penetrating than higher frequencies. Lower frequencies tend to diffract around objects that would block higher frequencies. Lower frequencies are less prone to multipath. -
Antennas Transmission Lines
5. ANTENNAS / TRANSMISSION LINES 1 5. ANTENNAS / TRANSMISSION LINES =e tran sm itter th at generates th e RF pow er to drive th e antenna is usually lo c a te d at so m e distance fro m th e antenna term in als. =e connecting lin k between th e tw o is th e RF tra n sm ission lin e. Its purpose is to carry RF pow er fro m one place to another, and to do th is as e@ciently as possible. From th e receiver sid e, th e antenna is resp o n sib le fo r picking up any rad io sign als in th e air and passing th em to th e receiver with th e minimum am ount of distortion and maximum e@ciency, so th at th e rad io has its best chance to decode th e sign al. For th ese reaso n s, th e RF cable has a very im p o rta n t ro le in rad io system s: it must maintain th e in te g rity of th e sign als in both directions. Figure ATL 1: Radio, tra n sm ission lin e and antenna =e sim p lest tran sm issio n lin e one can envisage is th e bi⇠lar or tw in le a d , consisting of tw o conductors sep arated by a dielectric or insulator. =e dielectric can be air or a plastic lik e th e one used fo r Aat tran sm issio n lin e s used in TV antennas. -
EE302 Lesson 13: Antenna Fundamentals
EE302 Lesson 13: Antenna Fundamentals Antennas An antenna is a device that provides a transition between guided electromagnetic waves in wires and electromagnetic waves in free space. 1 Reciprocity Antennas can usually handle this transition in both directions (transmitting and receiving EM waves). This property is called reciprocity. Antenna physical characteristics The antenna’s size and shape largely determines the frequencies it can handle and how it radiates electromagnetic waves. 2 Antenna polarization The polarization of an antenna refers to the orientation of the electric field it produces. Polarization is important because the receiving antenna should have the same polarization as the transmitting antenna to maximize received power. Antenna polarization Horizontal Polarization Vertical Polarization Circular Polarization Electric and magnetic field rotate at the frequency of the transmitter Used when the orientation of the receiving antenna is unknown Will work for both vertical and horizontal antennas Right Hand Circular Polarization (RHCP) Left Hand Circular Polarization (LHCP) Both antennas must be the same orientation (RHCP or LHCP) 3 Wavelength () You may recall from physics that wavelength () and frequency (f ) of an electromagnetic wave in free space are related by the speed of light (c) c cf or f Therefore, if a radio station is broadcasting at a frequency of 100 MHz, the wavelength of its signal is given c 3.0 108 m/s 3 m f 100 106 cycle/s Wavelength and antennas The dimensions of an antenna are usually expressed in terms of wavelength (). Low frequencies imply long wavelengths, hence low frequency antennas are very large. High frequencies imply short wavelengths, hence high frequency antennas are usually small. -
Design Approach of Multibeam Using Phased Array Antenna Aided with Butler Matrix for a Fixed Coverage Area
Progress In Electromagnetics Research B, Vol. 80, 133–149, 2018 Design Approach of Multibeam Using Phased Array Antenna Aided with Butler Matrix for a Fixed Coverage Area Tumma D. Vani1, * and Konidala R. Subhashini2 Abstract—This paper devises a framework of phased array antennas to radiate multiple beams for a fixed coverage. The phased antenna array is chosen so that the beamforming can be fixed in selected coverage area. The antenna arrays are employed with a Butler matrix (BM) to form required phases of excitation coefficients to the radiating elements. Optimally designed 4 × 4or8× 8Butlermatrix is utilized at the I/O ports of the phased antenna array. The grating lobes are reduced by using the principle of orthogonality to the feeds of subarray (group of column arrays of phased array). This article also exploits the concept of skirt elements to reach the desired coverage area while reducing the beam overlapping in the restricted area. Simulation studies highlight the proposed claims with elaborated numerical analysis of different case studies. 1. INTRODUCTION The phased array antennas [1–6] are designed for high gain that can serve higher frequencies and improved phase progression technology. This technology enables sharp radiation patterns and steering antenna array beams toward a desired direction by using a phased array antenna. This paper presents the realization of multiple beams using the phased array antenna. In this implementation, an array of M × N is employed, where M represents number of elements in each linear array, and N represents number of linear arrays. To improve the design of phased array antennas, a passive Butler matrix (BM) [7–11] beamforming feed network is used. -
Antennas in Practice
Antennas in Practice EM fundamentals and antenna selection Alan Robert Clark Andr´eP C Fourie Version 1.4, December 23, 2002 ii Titles in this series: Antennas in Practice: EM fundamentals and antenna selection (ISBN 0-620-27619-3) Wireless Technology Overview: Modulation, access methods, standards and systems (ISBN 0-620-27620-7) Wireless Installation Engineering: Link planning, EMC, site planning, lightning and grounding (ISBN 0-620-27621-5) Copyright °c 2001 by Alan Robert Clark and Poynting Innovations (Pty) Ltd. 33 Thora Crescent Wynberg Johannesburg South Africa. www.poynting.co.za Typesetting, graphics and design by Alan Robert Clark. Published by Poynting Innovations (Pty) Ltd. This book is set in 10pt Computer Modern Roman with a 12 pt leading by LATEX 2". All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of Poynting Innovations (Pty) Ltd. Printed in South Africa. ISBN 0-620-27619-3 Contents 1 Electromagnetics 1 1.1 Transmission line theory . 1 1.1.1 Impedance . 3 1.1.2 Characteristic impedance & Velocity of propagation . 3 Two-wire line . 4 One conductor over ground plane . 5 Twisted Pair . 5 Coaxial line . 5 Microstrip Line . 6 Slotline . 6 1.1.3 Impedance transformation . 6 1.1.4 Standing Waves, Impedance Matching and Power Transfer 8 1.2 The Smith Chart . 9 1.3 Field Theory . 10 1.3.1 Frequency and wavelength . 10 1.3.2 Characteristic impedance & Velocity of propagation . -
Broadband Butler Matrices with the Use of High-Pass LC Sections As Left-Handed Transmission Lines
236 K. STASZEK, S. GRUSZCZYNSKI, K. WINCZA, BROADBAND BUTLER MATRICES… Broadband Butler Matrices with the Use of High-Pass LC Sections as Left-Handed Transmission Lines Kamil STASZEK, Slawomir GRUSZCZYNSKI, Krzysztof WINCZA AGH University of Science and Technology, Mickiewicza Str. 30, 30-059 Krakow, Poland [email protected], [email protected], [email protected] Abstract. An application of left-handed transmission line 3dB/90° directional couplers in conjunction with two 45° sections in Butler matrices has been investigated. It has phase shifters. Such circuits provide ±45° and ±135° dif- been shown, for the first time, that the utilization of both ferential phases of the signals measured between adjacent left-handed and right-handed transmission lines allows for output ports [2]. Higher order Butler matrices are rarely broadband differential phase shifters’ realization, required presented due to their complexity. An exemplary 8 x 8 BM in the Butler matrices. A complete theoretical analysis is realized in LTCC technology may be found in [9]. In the given, for Butler matrices incorporating ideal transmission presented design 40 layers appropriately stacked and lines of both right- and left handed types and expressions folded have been used. The realization of broadband Butler for the achievable bandwidth and differential phase devia- matrices requires not only application of broadband tion are derived. The presented idea has been verified by 3dB/90 couplers but also broadband constant-value phase the design of a 4 x 4 Butler matrix operating in a frequency shifters. Several methods for realization of phase shifters range of 2.5 – 3.5 GHz.