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Title Page
Copyright Page
About the Author
Contents
Preface
Acknowledgments
Symbols
Acronyms
Chapter 1: Introduction to Radar Systems and Signal Processing
1.1. History and Applications of Radar
1.2. Basic Radar Functions
1.3. Elements of a Pulsed Radar
1.3.1. Transmitter and Waveform Generator
1.3.2. Antennas
1.3.3. Receivers
1.4. Common Threads in Radar Signal Processing
1.4.1. Signal-to-Interference Ratio and Integration
1.4.2. Resolution
1.4.3. Data Integration and Phase History Modeling
1.4.4. Bandwidth Expansion
1.5. A Preview of Basic Radar Signal Processing
1.5.1. Radar Time Scales
1.5.2. Phenomenology
1.5.3. Signal Conditioning and Interference Suppression
1.5.4. Imaging
1.5.5. Detection
1.5.6. Measurements and Track Filtering
1.6. Radar Literature
1.6.1. Radar Systems and Components
1.6.2. Basic Radar Signal Processing
1.6.3. Advanced Radar Signal Processing
1.6.4. Radar Applications
1.6.5. Current Radar Research
References
Problems
Chapter 2: Signal Models
2.1. Components of a Radar Signal
2.2. Amplitude
2.2.1. Simple Point Target Radar Range Equation
2.2.2. Distributed Target Forms of the Range Equation
2.2.3. Radar Cross Section
2.2.4. Radar Cross Section for Meteorological Targets
2.2.5. Statistical Description of Radar Cross Section
2.2.6. Target Fluctuation Models
2.2.7. Swerling Models
2.2.8. Effect of Target Fluctuations on Doppler Spectrum
2.3. Clutter
2.3.1. Behavior of σ0
2.3.2. Signal-to-Clutter Ratio
2.3.3. Temporal and Spatial Correlation of Clutter
2.3.4. Compound Models of Radar Cross Section
2.4. Noise Model and Signal-to-Noise Ratio
2.5. Jamming
2.6. Frequency Models: The Doppler Shift
2.6.1. Doppler Shift
2.6.2. The Stop-and-Hop Approximation and Phase History
2.6.3. Measuring Doppler Shift: Spatial Doppler
2.7. Spatial Models
2.7.1. Coherent Scattering
2.7.2. Variation with Angle
2.7.3. Variation with Range
2.7.4. Noncoherent Scattering
2.7.5. Projections
2.7.6. Multipath
2.8. Spectral Model
2.9. Summary
References
Problems
Chapter 3: Pulsed Radar Data Acquisition
3.1. Acquiring and Organizing Pulsed Radar Data
3.1.1. One Pulse: Fast Time
3.1.2. Multiple Pulses: Slow Time and the CPI
3.1.3. Doppler and Range Ambiguities
3.1.4. Multiple Channels: The Datacube
3.1.5. Dwells
3.2. Sampling the Doppler Spectrum
3.2.1. The Nyquist Rate in Doppler
3.2.2. Straddle Loss
3.3. Sampling in the Spatial and Angle Dimensions
3.3.1. Spatial Array Sampling
3.3.2. Sampling in Angle
3.4. I/Q Imbalance and Digital I/Q
3.4.1. I/Q Imbalance and Offset
3.4.2. Correcting I/Q Errors
3.4.3. Digital I/Q
References
Problems
Chapter 4: Radar Waveforms
4.1. Introduction
4.2. The Waveform Matched Filter
4.2.1. The Matched Filter
4.2.2. Matched Filter for the Simple Pulse
4.2.3. All-Range Matched Filtering
4.2.4. Straddle Loss
4.2.5. Range Resolution of the Matched Filter
4.3. Matched Filtering of Moving Targets
4.4. The Ambiguity Function
4.4.1. Definition and Properties of the Ambiguity Function
4.4.2. Ambiguity Function of the Simple Pulse
4.5. The Pulse Burst Waveform
4.5.1. Matched Filter for the Pulse Burst Waveform
4.5.2. Pulse-by-Pulse Processing
4.5.3. Range Ambiguity
4.5.4. Doppler Response of the Pulse Burst Waveform
4.5.5. Ambiguity Function for the Pulse Burst Waveform
4.5.6. The Slow-Time Spectrum and the Periodic Ambiguity Function
4.6. Frequency-Modulated Pulse Compression Waveforms
4.6.1. Linear Frequency Modulation
4.6.2. The Principle of Stationary Phase
4.6.3. Ambiguity Function of the LFM Waveform
4.6.4. Range-Doppler Coupling
4.6.5. Stretch Processing
4.7. Range Sidelobe Control for FM Waveforms
4.7.1. Matched Filter Frequency Response Shaping
4.7.2. Matched Filter Impulse Response Shaping
4.7.3. Waveform Spectrum Shaping
4.8. The Stepped Frequency Waveform
4.9. The Stepped Chirp Waveform
4.10. Phase-Modulated Pulse Compression Waveforms
4.10.1. Biphase Codes
4.10.2. Polyphase Codes
4.10.3. Mismatched Phase Code Filters
4.11. Costas Frequency Codes
4.12. Continuous Wave Radar
References
Problems
Chapter 5: Doppler Processing
5.1. Moving Platform Effects on the Doppler Spectrum
5.2. Moving Target Indication
5.2.1. Pulse Cancellers
5.2.2. Vector Formulation of the Matched Filter
5.2.3. Matched Filters for Clutter Suppression
5.2.4. Blind Speeds and Staggered PRFs
5.2.5. MTI Figures of Merit
5.2.6. Limitations to MTI Performance
5.3. Pulse Doppler Processing
5.3.1. The Discrete-Time Fourier Transform of a Moving Target
5.3.2. Sampling the DTFT: The Discrete Fourier Transform
5.3.3. The DFT of Noise
5.3.4. Pulse Doppler Processing Gain
5.3.5. Matched Filter and Filterbank Interpretations of Pulse Doppler Processing with the DF T
5.3.6. Fine Doppler Estimation
5.3.7. Modern Spectral Estimation in Pulse Doppler Processing
5.3.8. CPI-to-CPI Stagger and Blind Zone Maps
5.4. Pulse Pair Processing
5.5. Additional Doppler Processing Issues
5.5.1. Combined MTI and Pulse Doppler Processing
5.5.2. Transient Effects
5.5.3. PRF Regimes
5.5.4. Ambiguity Resolution
5.6. Clutter Mapping and the Moving Target Detector
5.6.1. Clutter Mapping
5.6.2. The Moving Target Detector
5.7. MTI for Moving Platforms: Adaptive Displaced Phase Center Antenna Processing
5.7.1. The DPCA Concept
5.7.2. Adaptive DPCA
References
Problems
Chapter 6: Detection Fundamentals
6.1. Radar Detection as Hypothesis Testing
6.1.1. The Neyman-Pearson Detection Rule
6.1.2. The Likelihood Ratio Test
6.2. Threshold Detection in Coherent Systems
6.2.1. The Gaussian Case for Coherent Receivers
6.2.2. Unknown Parameters and Threshold Detection
6.2.3. Linear and Square-Law Detectors
6.2.4. Other Unknown Parameters
6.3. Threshold Detection of Radar Signals
6.3.1. Coherent, Noncoherent, and Binary Integration
6.3.2. Nonfluctuating Targets
6.3.3. Albersheim’s Equation
6.3.4. Fluctuating Targets
6.3.5. Shnidman’s Equation
6.4. Binary Integration
6.5. Constant False Alarm Rate Detection
6.5.1. The Effect of Unknown Interference Power on False Alarm Probability
6.5.2. Cell-Averaging CFAR
6.5.3. Analysis of Cell-Averaging CFAR
6.5.4. CA CFAR Limitations
6.5.5. Extensions to Cell-Averaging CFAR
6.5.6. Order Statistic CFAR
6.5.7. Additional CFAR Topics
6.6. System-Level Control of False Alarms
References
Problems
Chapter 7: Measurements and Tracking
7.1. Estimators
7.1.1. Estimator Properties
7.1.2. The Cramèr-Rao Lower Bound
7.1.3. The CRLB and Signal-to-Noise Ratio
7.1.4. Maximum Likelihood Estimators
7.2. Range, Doppler, and Angle Estimators
7.2.1. Range Estimators
7.2.2. Doppler Signal Estimators
7.2.3. Angle Estimators
7.3. Introduction to Tracking
7.3.1. Sequential Least Squares Estimation
7.3.2. The α –β Filter
7.3.3. The Kalman Filter
7.3.4. The Tracking Cycle
References
Problems
Chapter 8: Introduction to Synthetic Aperture Imaging
8.1. Introduction to SAR Fundamentals
8.1.1. Cross-Range Resolution in Radar
8.1.2. The Synthetic Aperture Viewpoint
8.1.3. Doppler Viewpoint
8.1.4. SAR Coverage and Sampling
8.2. Stripmap SAR Data Characteristics
8.2.1. Stripmap SAR Geometry
8.2.2. Stripmap SAR Data Set
8.3. Stripmap SAR Image Formation Algorithms
8.3.1. Doppler Beam Sharpening
8.3.2. Quadratic Phase Error Effects
8.3.3. Range-Doppler Algorithms
8.3.4. Depth of Focus
8.4. Spotlight SAR Data Characteristics
8.5. The Polar Format Image Formation Algorithm for Spotlight SAR
8.6. Interferometric SAR
8.6.1. The Effect of Height on a SAR Image
8.6.2. IFSAR Processing Steps
8.7. Other Considerations
8.7.1. Motion Compensation and Autofocus
8.7.2. Autofocus
8.7.3. Speckle Reduction
References
Problems
Chapter 9: Introduction to Beamforming and Space-Time Adaptive Processing
9.1. Spatial Filtering
9.1.1. Beamforming
9.1.2. Adaptive Beamforming
9.1.3. Adaptive Beamforming with Preprocessing
9.2. Space-Time Signal Environment
9.3. Space-Time Signal Modeling
9.4. Processing the Space-Time Signal
9.4.1. Optimum Matched Filtering
9.4.2. STAP Metrics
9.4.3. Relation to Displaced Phase Center Antenna Processing
9.4.4. Adaptive Matched Filtering
9.5. Reduced-Dimension STAP
9.6. Advanced STAP Algorithms and Analysis
9.7. Limitations to STAP
References
Problems
Appendix A: Selected Topics in Probability and Random Processes
A.1. Probability Density Functions and Likelihood Functions
A.2. Important Probability Distributions in Radar
A.2.1. Power Distributions
A.2.2. Voltage Distributions
A.2.3. The Unfortunate Tendency in Radar to Call Power Distributions by the Name of the Voltage Distribution
A.2.4. Phase Distributions
A.3. Estimators and the Cramèr-Rao Lower Bound
A.3.1. The Cramèr-Rao Lower Bound on Estimator Variance
A.3.2. The CRLB for Transformed Parameters
A.3.3. Signals in Additive White Gaussian Noise
A.3.4. Signals with Multiple Parameters in AWGN
A.3.5. Complex Signals and Parameters in AWGN
A.3.6. Finding Minimum Variance Estimators
A.4. Random Signals in Linear Systems
A.4.1. Correlation Functions
A.4.2. Correlation and Linear Estimation
A.4.3. Power Spectrum
A.4.4. White Noise
A.4.5. The Effect of LSI Systems on Random Signals
Appendix B: Selected Topics in Digital Signal Processing
B.1. Fourier Transforms
B.2. Sampling, Quantization, and A/D Converters
B.2.1. Sampling
B.2.2. Quantization
B.2.3. A/D Conversion Technology
B.3. Spatial Frequency
B.4. Correlation
B.5. Vector-Matrix Representations and Eigenanalysis
B.5.1. Basic Definitions and Operations
B.5.2. Basic Eigenanalysis
B.5.3. Eigenstructure of Sinusoids in White Noise
B.6. Instantaneous Frequency
B.7. Decibels
Index
Fundamentals of Radar Signal Processing
Fundamentals of Radar Signal Processing Mark A. Richards, Ph.D. Georgia Institute of Technology Second Edition New York Chicago San Francisco Athens London Madrid Mexico City Milan New Delhi Singapore Sydney Toronto
Copyright © 2014 by McGraw-Hill Education. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. ISBN: 978-0-07-179833-4 MHID: 0-07-179833-1 e-Book conversion by Cenveo® Publisher Services Version 1.0 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-179832-7, MHID: 0-07- 179832-3. McGraw-Hill Education eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. To contact a representative, please visit the Contact Us page at www.mhprofessional.com. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. Information has been obtained by McGraw-Hill Education from sources believed to be reliable. However, because of the possibility of human or mechanical error by our sources, McGraw-Hill Education, or others, McGraw-Hill Education does not guarantee the accuracy, adequacy, or completeness of any information and is not responsible for any errors or omissions or the results obtained from the use of such information. TERMS OF USE This is a copyrighted work and McGraw-Hill Education and its licensors reserve all rights in and to the work. Use of this work is subject to these terms. Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill Education’s prior consent. You may use the work for your own noncommercial and personal use; any other use of the work is strictly prohibited. Your right to use the work may be terminated if you fail to comply with these terms. THE WORK IS PROVIDED “AS IS.” McGRAW-HILL EDUCATION AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATION THAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. McGraw-Hill Education and its licensors do not warrant or guarantee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted or error free. Neither McGraw-Hill Education nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work or for any damages resulting therefrom. McGraw-Hill Education has no responsibility for the content of any information accessed through the work. Under no circumstances shall McGraw-Hill Education and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages. This limitation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise.
To Theresa, with love and gratitude for all our time together, past and future. And to Jessica and Benjamin and the first of our newest generation, Amelia, with pride, joy, and high hopes for the future you all will bring.
About the Author MARK A. RICHARDS, PH.D., is Principal Research Engineer and Adjunct Professor, School of Electrical and Computer Engineering (ECE), Georgia Institute of Technology, and a Fellow of the IEEE cited for contributions to radar signal processing education. He is engaged in academic and continuing education teaching and course development in the fields of digital signal processing and radar signal processing. Previous positions include Chief of the Radar Systems Division and Head of the Signal Processing Branch in the Sensors and Electromagnetic Applications Laboratory of the Georgia Tech Research Institute, and Program Manager for Advanced Signal Processing at the U.S. Defense Advanced Research Projects Agency (DARPA).
Contents Preface Acknowledgments Symbols Acronyms 1 Introduction to Radar Systems and Signal Processing 1.1 History and Applications of Radar 1.2 Basic Radar Functions 1.3 Elements of a Pulsed Radar 1.3.1 Transmitter and Waveform Generator 1.3.2 Antennas 1.3.3 Receivers 1.4 Common Threads in Radar Signal Processing 1.4.1 Signal-to-Interference Ratio and Integration 1.4.2 Resolution 1.4.3 Data Integration and Phase History Modeling 1.4.4 Bandwidth Expansion 1.5 A Preview of Basic Radar Signal Processing 1.5.1 Radar Time Scales 1.5.2 Phenomenology 1.5.3 Signal Conditioning and Interference Suppression 1.5.4 Imaging 1.5.5 Detection 1.5.6 Measurements and Track Filtering 1.6 Radar Literature 1.6.1 Radar Systems and Components 1.6.2 Basic Radar Signal Processing 1.6.3 Advanced Radar Signal Processing 1.6.4 Radar Applications 1.6.5 Current Radar Research References Problems 2 Signal Models 2.1 Components of a Radar Signal 2.2 Amplitude 2.2.1 Simple Point Target Radar Range Equation
2.3 Clutter 2.3.1 Behavior of σ0 2.3.2 Signal-to-Clutter Ratio 2.3.3 Temporal and Spatial Correlation of Clutter 2.3.4 Compound Models of Radar Cross Section 2.4 Noise Model and Signal-to-Noise Ratio 2.5 Jamming 2.6 Frequency Models: The Doppler Shift 2.6.1 Doppler Shift 2.6.2 The Stop-and-Hop Approximation and Phase History 2.6.3 Measuring Doppler Shift: Spatial Doppler 2.2.2 Distributed Target Forms of the Range Equation 2.2.3 Radar Cross Section 2.2.4 Radar Cross Section for Meteorological Targets 2.2.5 Statistical Description of Radar Cross Section 2.2.6 Target Fluctuation Models 2.2.7 Swerling Models 2.2.8 Effect of Target Fluctuations on Doppler Spectrum 2.7 Spatial Models 2.7.1 Coherent Scattering 2.7.2 Variation with Angle 2.7.3 Variation with Range 2.7.4 Noncoherent Scattering 2.7.5 Projections 2.7.6 Multipath 2.8 Spectral Model 2.9 Summary References Problems 3 Pulsed Radar Data Acquisition 3.1 Acquiring and Organizing Pulsed Radar Data 3.1.1 One Pulse: Fast Time 3.1.2 Multiple Pulses: Slow Time and the CPI 3.1.3 Doppler and Range Ambiguities 3.1.4 Multiple Channels: The Datacube 3.1.5 Dwells 3.2 Sampling the Doppler Spectrum 3.2.1 The Nyquist Rate in Doppler 3.2.2 Straddle Loss 3.3 Sampling in the Spatial and Angle Dimensions
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