Fourier Transforms in Radar and Signal Processing
1st Edition
Published on 1. January 2003
211 pages
978-1-58053-613-4 (ISBN)
Description
Fourier transforms are used everyday for solving single functions and combinations of functions found in radar and signal processing. Still, many problems that could have been solved by using Fourier transforms have gone unsolved because they require integration that is too computationally difficult. This manual demonstrates how you can solve those integration-intensive problems with an approach to carrying out Fourier transforms. By building upon Woodward's well-known "e;Rules and Pairs"e; method and related concepts and procedures, the text establishes a unified system that makes implicit the integration required for performing Fourier transforms on a wide variety of functions. It details how complex functions can be broken down to their constituent parts for analysis. This approach to applying Fourier transforms is illustrated with many specific examples from digital signal processing as well as radar and antenna operation.
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David Brandwood
Fourier Transforms in Radar and Signal Processing
Book
03/2003
Artech House Publishers
€129.24
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Content
- Fourier Transforms in Radar and Signal Processing
- Contents v
- Preface xi
- 1 Introduction 1
- 1.1 Aim of the Work 1
- 1.2 Origin of the Rules and Pairs Method for Fourier Transforms 2
- 1.3 Outline of the Rules and Pair Method 3
- 1.4 The Fourier Transform and Generalized Functions 4
- 1.5 Complex Waveforms and Spectra in Signal Processing 7
- 1.6 Outline of the Contents 8
- References 10
- 2 Rules and Pairs 11
- 2.1 Introduction 11
- 2.2 Notation 12
- 2.3 Rules and Pairs 21
- 2.4 Three Illustrations 24
- Appendix 2A: Properties of the sinc Function 27
- Appendix 2B: Breif Derivations of the Rules and Pairs 29
- 3 Pluse Spectra 39
- 3.1 Introduction 39
- 3.2 Symmetrical Trapezoidal Pulse 40
- 3.3 Symmetrical Triangular Pulse 41
- 3.4 Asymmetrical Trapezoidal Pulse 44
- 3.5 Raised cosine Pulse 47
- 3.6 Rounded Pulses 49
- 3.7 General Rounded Trapezoidal Pulse 53
- 3.8 Regular Train of Identical RF Pulses 58
- 3.9 Carrier Gated by a Regular Pulse Train 59
- 3.10 Pulse Doppler Radar Target Return 61
- 3.11 Summary 62
- 4 Sampling Theory 65
- 4.1 Introduction 65
- 4.2 Basic Technique 66
- 4.3 Wideband Sampling 67
- 4.4 Uniform Sampling 69
- 4.5 Hilbert Sampling 74
- 4.6 Quadrature Sampling 75
- 4.7 Low IF Analytic Signal Sampling 81
- 4.8 High IF Sampling 84
- 4.9 Summary 85
- References 86
- Appendix 4A: The Hilbert Transform 86
- 5 Interpolation for Delayed Waveform Time Series 89
- 5.1 Introduction 89
- 5.2 Spectrum Independent Interpolation 90
- 5.3 Least Squared Error Interpolation 107
- 5.4 Application to Generation of Simulated Gaussian Clutter 114
- 5.5 Resampling 120
- 5.6 Summary 122
- References 123
- 6 Equalization 125
- 6.1 Introduction 125
- 6.2 Basic Approach 126
- 6.3 ramp and sncr Functions 130
- 6.4 Simple Example of Amplitude Equalization 134
- 6.5 Equalization for Broadband Array Radar 135
- 6.6 Sum Beam Equalization 138
- 6.7 Difference Beam Equalization 147
- 6.8 Summary 158
- 7 Array Beamforming 161
- 7.1 Introduction 161
- 7.2 Basic Principles 162
- 7.3 Uniform Linear Arrays 164
- 7.4 Nonuniform Linear Arrays 180
- 7.5 Summary 187
- Final Remarks 189
- About the Author 191
- Index 193
