Radar Signals - 1st Edition - ISBN: 9780121867508, 9780323146302

Radar Signals

1st Edition

An Introduction to Theory and Application

Authors: Charles Cook
eBook ISBN: 9780323146302
Imprint: Academic Press
Published Date: 1st January 1967
Page Count: 550
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Radar Signals: An Introduction to Theory and Application introduces the reader to the basic theory and application of radar signals that are designated as large time-bandwidth or pulse-compression waveforms. Topics covered include matched filtering and pulse compression; optimum predetection processing; the radar ambiguity function; and the linear frequency modulation waveform and matched filter. Parameter estimation and discrete coded waveforms are also discussed, along with the effects of distortion on matched-filter signals. This book is comprised of 14 chapters and begins with an overview of the concepts and techniques of pulse compression matched filtering, with emphasis on coding source and decoding device. The discussion then turns to the derivation of the matched-filter properties in order to maximize the signal-to-noise ratio; analysis of radar ambiguity function using the principle of stationary phase; parameter estimation and the method of maximum likelihood; and measurement accuracies of matched-filter radar signals. Waveform design criteria for multiple and dense target environments are also considered. The final chapter describes a number of techniques for designing microwave dispersive delays. This monograph will be a useful resource for graduate students and practicing engineers in the field of radar system engineering.

Table of Contents


List of Symbols

Chapter 1. The Basic Elements of Matched Filtering and Pulse Compression

1.1 Introduction

1.2 The Matched-Filter Concept

1.3 The Pulse-Compression Concept—Historical Background

1.4 The Pulse-Compression Concept—A Heuristic Development of the Significant Parameters

1.5 The Matched-Filter Characteristics for a General FM Pulse-Compression Signal


Chapter 2. Optimum Predetection Processing—Matched-Filter Theory

2.1 Introduction

2.2 Signal-to-Noise Criterion

2.3 The Likelihood Criterion—Statistical Decision Theory

2.4 The Likelihood Criterion—Parameter Estimation Theory

2.5 Inverse Probability


Chapter 3. Matched-Filter Requirements for Arbitrary FM Pulse-Compression Signals

3.1 Introduction

3.2 The Principle of Stationary Phase

3.3 Application of Principle of Stationary Phase to General Pulse-Compression Signals

3.4 Waveform Design Applications to FM Pulse-Compression Signals

3.5 The Matched-Filter Ambiguity Function


Chapter 4. The Radar Ambiguity Function

4.1 Introduction

4.2 Complex Waveform Representation

4.3 The Doppler Approximation

4.4 The General Ambiguity Function Formulation

4.5 Properties of the Ambiguity Function

4.6 The Uniqueness Theorem

4.7 Volume Free Area and Average Sidelobe Level

4.8 An Expansion Theorem for Ambiguity Functions

4.9 The Ambiguity Function Close to the Origin

4.10 Generalized Waveform Uncertainty Principle

4.11 The Time Resolution Constant

4.12 Ambiguity Function Examples

4.13 The Principle of Stationary Phase Applied to Ambiguity Function Analysis

4.14 Summary


Chapter 5. Parameter Estimation

5.1 Introduction

5.2 The Radar Parameters

5.3 The Problem of Parameter Estimation

5.4 The Cramér-Rao Inequality

5.5 Sample Space

5.6 Joint Radar Parameter Estimation Errors as Seen by an Unbiased Estimator

5.7 The Theoretical RMS Bandwidth for Signals that Exhibit Step Discontinuous Amplitude and/or Phase Characteristics

5.8 The Method of Maximum Likelihood


Chapter 6. The Linear FM Waveform and Matched Filter

6.1 Introduction

6.2 Linear FM Matched-Filter Waveform

6.3 Linear FM Matched-Filter Characteristics

6.4 The Ideal vs the Practical Matched Filter

6.5 Generating the Linear FM Matched-Filter Signal

6.6 Effect of Linear Delay Mismatch on the Compressed-Pulse Signal

6.7 Large Time-Bandwidth Techniques

6.8 Doppler Shift Distortion of Large Time-Bandwidth Linear FM Signals


Chapter 7. Matched-Filter Waveform Considerations—Range Sidelobe Reduction

7.1 Introduction

7.2 Spectrum Amplitude Functions for Desirable Matched-Filter Waveform Properties

7.3 Comparison of Time Weighting and Frequency Weighting for Linear FM Sidelobe Reduction

7.4 Effect of Weighting on Matched-Filter Output Signal-to-Noise Ratio

7.5 Spectrum Weighting Data—Compressed-Pulse Waveform Characteristics

7.6 Effect of Exact Linear FM Spectrum on the Weighted Compressed Pulse

7.7 FM Predistortion

7.8 Realization of Weighting Function Responses by Transversal Filtering

7.9 Nonlinear FM Matched Filters for Sidelobe Reduction


Chapter 8. Discrete Coded Waveforms

8.1 Introduction

8.2 Constant Carrier Pulse Trains (Group I)

8.3 Binary Phase Codes (Group II)

8.4 Polyphase Codes (Group II)

8.5 Discrete Frequency Sequences (Group III)

8.6 Matched Filters for Discrete Coded Signals

8.7 Doppler Correction of Discrete Coded Signals

8.8 Summary


Chapter 9. The Measurement Accuracies of Matched-Filter Radar Signals—Waveform Design Criteria

9.1 Introduction

9.2 Minimum Time and Frequency Error Variances for Some Large Time-Bandwidth Radar Signals

9.3 The Effect of Range-Doppler Coupling on Theoretical Measurement Errors

9.4 Nonlinear FM and Frequency Jump Signals with Small RMS Measurement Errors

9.5 Considerations for Improved Measurement Accuracy with Unidirectional FM Waveforms

9.6 Conditions for Minimum-Error Joint Estimates of Range and Velocity

9.7 Range-Doppler Coupling for Discrete Coded Waveforms


Chapter 10. Waveform Design Criteria for Multiple and Dense Target Environments

10.1 Introduction

10.2 Waveform Considerations for Extended Distributions of Semi-Isolated Moving Scatterers

10.3 Waveform Optimization for Stationary or Slowly Moving Clutter

10.4 Comparison of the Effectiveness of Different Waveforms for the Stationary or Slowly Moving Clutter Case

10.5 The "Optimum" Clutter Rejection Filter

10.6 Waveform Design Considerations for Dense Distributions of Moving Scatterers

10.7 Some Summary Remarks Concerning the General Signal Design Problem


Chapter 11. Effects of Distortion on Matched-Filter Signals

11.1 Introduction

11.2 Paired-Echo Distortion Analysis

11.3 Delay Distortion as a Measure of Phase Distortion

11.4 Matched-Filter Modulation Distortion

11.5 Complex Modulation Distortion Functions

11.6 Sources of Phase Modulation Distortion

11.7 The Representation of Distorted Output Time Functions for General Matched-Filter Signals

11.8 Measures of Resolution Loss for Random Phase Errors

11.9 Distortion Compensation


Chapter 12. The Design of Dispersive Delay Functions—I

12.1 Introduction

12.2 The All-Pass Time Delay Network

12.3 All-Pass Network Delay Approximation

12.4 Lattice Conversion to Unbalanced Form

12.5 Illustrative Design of a Linear Delay Network

12.6 Matched-Filter Error Correction

12.7 Alignment of Bridged-T All-Pass Sections


Chapter 13. The Design of Dispersive Functions—II Ultrasonic Delay Lines

13.1 Introduction

13.2 Parameters of Ultrasonic Waves in Isotropic Elastic Media

13.3 Dispersive Delay Characteristics of Shear Mode Propagation in Strips

13.4 Dispersive Delay Characteristics of Longitudinal Mode Propagation in Strips

13.5 Wire Type Dispersive Delay Lines

13.6 Transducer Characteristics for Thin Strip Lines

13.7 System Specifications for Dispersive Ultrasonic Delay Lines

13.8 Dispersive Diffraction Grating Devices


Chapter 14. Microwave and Optical Matched-Filter Techniques

14.1 Introduction

14.2 The Folded-Tape Meander Line

14.3 The Hybrid Ring "All-Pass" Design

14.4 Microwave Pulse-Compression Filters Using Tapped Delay Line Techniques

14.5 Continuous Microwave Dispersive Structures

14.6 Optical Signal Processing—Spatial Filtering

14.7 Optical Matched Filters for Radar Application

14.8 The Ultrasonic Light Modulator



Author Index

Subject Index


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© Academic Press 1967
Academic Press
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About the Author

Charles Cook

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