Preface |
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xv | |
Preface to the 2nd edition |
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xviii | |
Abbreviations |
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xix | |
Symbols |
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xxiii | |
1 Introduction |
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1 | (4) |
2 Signal representation and mathematical tools |
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5 | (12) |
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5 | (1) |
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2.2 Computing with matrices |
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6 | (4) |
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2.2.1 Addition and subtraction |
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6 | (1) |
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6 | (2) |
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8 | (1) |
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8 | (1) |
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2.2.5 Eigenvalue decomposition |
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9 | (1) |
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9 | (1) |
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10 | (1) |
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2.3.1 Fast Fourier transform |
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11 | (1) |
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2.4 Filter in the frequency and time domain |
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11 | (3) |
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14 | (1) |
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2.6 Wiener-Khintchine theorem |
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15 | (1) |
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16 | (1) |
3 Statistical signal theory |
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17 | (32) |
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3.1 The general tasks of signal processing |
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17 | (1) |
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3.2 Introduction to basics of statistics |
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18 | (15) |
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3.2.1 Probabilities for discrete random variables |
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19 | (2) |
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3.2.2 Continuous random variables |
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21 | (3) |
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3.2.3 Functions of random variables |
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24 | (4) |
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3.2.4 Statistical averages |
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28 | (2) |
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30 | (1) |
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3.2.6 Gaussian density function |
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30 | (1) |
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3.2.7 Correlated Gaussian variables |
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31 | (2) |
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3.2.8 Complex Gaussian variables |
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33 | (1) |
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3.3 Likelihood-ratio test |
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33 | (6) |
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39 | (5) |
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3.4.1 Variance of the estimate and Cramer–Rao limit |
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39 | (5) |
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3.5 Estimation of a signal |
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44 | (4) |
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3.5.1 Maximum-likelihood estimation |
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44 | (1) |
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3.5.2 Signal estimation with least mean-square error |
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44 | (1) |
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3.5.3 Interference suppression by the inverse covariance |
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45 | (2) |
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3.5.4 Improvement of signal-to-noise-and-interference ratio (SNIR) |
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47 | (1) |
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48 | (1) |
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48 | (1) |
4 Array antennas |
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49 | (36) |
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50 | (5) |
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55 | (6) |
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4.2.1 Half-power beamwidth |
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55 | (1) |
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4.2.2 Bandwidth limitation with phase steering |
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56 | (1) |
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4.2.3 Antenna element spacing without grating lobes |
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57 | (1) |
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4.2.4 Gain of regular-spaced planar arrays with d = λ/2 |
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58 | (1) |
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4.2.5 Reduction of sidelobes by tapering |
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59 | (2) |
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61 | (2) |
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4.4 Phase and amplitude errors |
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63 | (5) |
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4.5 Architectures of passive and active array antennas |
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68 | (5) |
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4.5.1 Comparison of efficiency for active and passive array |
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72 | (1) |
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4.5.2 Radar equation for active arrays |
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73 | (1) |
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4.6 Concepts for an extended field of view |
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73 | (5) |
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4.6.1 Volume array for complete azimuth coverage |
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74 | (4) |
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4.7 Monitoring of phased array antennas |
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78 | (2) |
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4.7.1 Antenna measurement |
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78 | (1) |
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4.7.2 Transmit/receive module (TRM) monitoring |
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78 | (2) |
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4.8 Appendix: Taylor and Bayliss weighting |
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80 | (2) |
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82 | (3) |
5 Beamforming |
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85 | (28) |
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5.1 Single receiving beam |
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87 | (8) |
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87 | (1) |
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5.1.2 Subarrays and partial digital beamforming |
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87 | (2) |
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5.1.3 Dynamic range requirements |
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89 | (1) |
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5.1.4 Subarray configuration for digital sum and difference beamforming |
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90 | (4) |
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5.1.5 Correction of antenna failures |
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94 | (1) |
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5.1.6 Digital beamforming at element level |
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95 | (1) |
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5.2 Broad band beamforming |
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95 | (4) |
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99 | (6) |
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5.3.1 RF multiple beamforming |
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100 | (1) |
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5.3.2 RF-multiple beamforming using subarrays |
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101 | (1) |
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5.3.3 IF multiple beamforming by a resistive network |
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102 | (1) |
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5.3.4 Baseband multiple beamforming |
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102 | (1) |
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5.3.5 Time-multiplex beamforming for arbitrary directions |
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102 | (1) |
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5.3.6 Digital multiple beamforming using subarrays |
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102 | (2) |
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5.3.7 Multiple beam cluster for target search |
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104 | (34) |
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5.3.7.1 Fan beam for transmitting and receiving |
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104 | (1) |
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5.3.7.2 Fan beam for transmitting and a cluster of pencil beams for receiving |
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105 | (1) |
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5.4 Deterministic spatial filtering |
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105 | (2) |
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5.5 Compressed sensing for beamforming |
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107 | (4) |
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111 | (2) |
6 Sampling and digitisation of signals |
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113 | (16) |
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113 | (3) |
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6.2 Sampling and interpolation |
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116 | (2) |
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6.3 Extraction of the components I and Q in digital format |
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118 | (7) |
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6.4 Third-order intercept point and dynamic range |
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125 | (2) |
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127 | (2) |
7 Pulse compression with polyphase codes |
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129 | (32) |
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129 | (1) |
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7.2 Requirements and basic structure for pulse compression |
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130 | (1) |
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131 | (1) |
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7.4 Polyphase code as an approximation of linear frequency modulation |
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132 | (6) |
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7.5 Reduction of range sidelobes |
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138 | (4) |
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7.5.1 Application of a weighting function |
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138 | (1) |
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7.5.2 Application of a mismatched LS filter |
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139 | (3) |
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7.5.3 Application of an estimation filter |
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142 | (1) |
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7.6 Reduction of sidelobes by a phase code from nonlinear frequency modulation |
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142 | (5) |
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147 | (1) |
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7.8 Polyphase code with periodic repetition |
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148 | (2) |
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150 | (1) |
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7.10 High range resolution by oversampling and LS pulse compression |
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151 | (6) |
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7.10.1 Calculation of the filter function for the pulse compression |
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152 | (1) |
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152 | (1) |
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153 | (1) |
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7.10.4 Pulse compression of simulated signals |
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153 | (2) |
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7.10.5 Compression of measured echo signals |
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155 | (2) |
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157 | (1) |
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158 | (3) |
8 Detection of targets by a pulse series |
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161 | (32) |
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8.1 Filter against fixed clutter |
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163 | (3) |
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8.2 Doppler filter processor |
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166 | (2) |
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8.3 Adaptive suppression of weather clutter |
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168 | (9) |
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8.3.1 Computation of the gain |
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171 | (1) |
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8.3.2 Evaluation of experimental signals |
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172 | (5) |
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8.4 Suppression of sea clutter |
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177 | (1) |
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8.5 Estimation of Doppler frequency |
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178 | (6) |
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8.5.1 Accuracy of Doppler estimation by Cramer-Rao bound |
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180 | (3) |
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8.5.2 Simplified Doppler estimator |
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183 | (1) |
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8.6 Coherent detection with long pulse series |
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184 | (6) |
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8.6.1 Variable Doppler frequency of the target signal |
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184 | (2) |
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8.6.2 Coherent test function for long echo series |
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186 | (3) |
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8.6.3 Comparison of detection performance of the filter bank and ACE-test for LFM Doppler signals |
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189 | (1) |
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190 | (1) |
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190 | (3) |
9 Sequential detection |
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193 | (34) |
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195 | (1) |
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9.2 Multiple range elements |
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196 | (4) |
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9.2.1 Independent test of all range elements |
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196 | (1) |
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9.2.2 Common test for all range elements |
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196 | (1) |
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9.2.3 Combined test with range-dependent design signal |
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197 | (1) |
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9.2.4 Comparison of the test for multiple range cells with the fixed sample size test |
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198 | (2) |
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9.2.5 Sequential detection with a filter for the rejection of stationary clutter |
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200 | (1) |
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9.3 Coherent test function |
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200 | (13) |
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9.3.1 Test function with autocorrelation estimates |
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201 | (2) |
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9.3.2 Sequential test function with autocorrelation estimates |
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203 | (3) |
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9.3.3 Simulation studies for a comparison of incoherent and coherent sequential tests |
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206 | (4) |
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9.3.4 Gain comparison of the coherent sequential and fixed sample size test |
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210 | (1) |
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9.3.5 Extension for multiple range elements |
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210 | (3) |
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9.3.6 Variable Doppler frequency of the target signal |
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213 | (1) |
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9.4 Comparison of detection procedures |
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213 | (1) |
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9.5 Adaptation to the noise level and energy management |
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214 | (1) |
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9.6 Sequential test for long signal series |
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215 | (5) |
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9.6.1 Sequential test with coherent sections |
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216 | (1) |
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217 | (3) |
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220 | (4) |
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224 | (1) |
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225 | (2) |
10 Adaptive beamforming for jammer suppression |
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227 | (36) |
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10.1 Deterministic generation of pattern notches |
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229 | (5) |
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230 | (2) |
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10.1.2 Multiple beam approach |
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232 | (1) |
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10.1.3 Limit for number of notches |
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233 | (1) |
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10.2 Adaptive jammer suppression |
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234 | (5) |
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10.2.1 Optimal processing |
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234 | (2) |
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10.2.2 Illustration with a model |
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236 | (1) |
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10.2.3 Orthogonalisation and eigenmatrix projection |
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236 | (3) |
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10.3 Antenna architecture for adaptation |
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239 | (2) |
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10.3.1 Adaptation before beamforming |
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240 | (1) |
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10.3.2 Adaptive beamforming with subarrays |
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240 | (1) |
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10.4 Adaptation algorithms |
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241 | (9) |
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10.4.1 Sample matrix estimation |
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241 | (1) |
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10.4.2 Projection methods |
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242 | (3) |
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245 | (3) |
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10.4.4 Weighted projection: lean matrix inversion method |
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248 | (2) |
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250 | (1) |
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10.6 Experiments with the ELRA system |
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251 | (5) |
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10.7 Robustness against jammer motion |
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256 | (1) |
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10.8 Phase-only adaptive beamforming |
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257 | (1) |
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258 | (1) |
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259 | (4) |
11 Monopulse direction estimation |
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263 | (32) |
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11.1 Likelihood direction estimation |
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263 | (5) |
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11.2 Experimental monopulse correction for failing elements |
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268 | (7) |
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11.3 Variance of monopulse estimate |
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275 | (2) |
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11.4 Monopulse correction against jamming |
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277 | (13) |
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11.4.1 Correction with likelihood estimation |
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277 | (5) |
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11.4.2 Correction in expectation |
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282 | (5) |
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11.4.3 Statistical performance analysis of estimation |
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287 | (3) |
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11.5 Polarisation independence |
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290 | (1) |
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11.6 Indication of multiple targets |
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291 | (2) |
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293 | (1) |
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293 | (2) |
12 Array processing for super-resolution in angle |
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295 | (52) |
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295 | (1) |
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12.2 Parametric estimation |
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296 | (10) |
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12.2.1 Resolution limit from Cramer-Rao inequality |
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303 | (3) |
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12.3 Experimental verification of super-resolution |
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306 | (3) |
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12.4 Resolution by angular spectral estimation algorithms |
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309 | (7) |
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12.4.1 Resolution and the dimension of the signal subspace |
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312 | (3) |
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12.4.2 Estimation of the signal subspace dimension |
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315 | (1) |
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12.5 Expectation maximisation (EM) and space alternating expectation maximisation (SAGE) |
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316 | (3) |
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319 | (1) |
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12.7 ESPRIT procedure with least square (LS) and total least square (TLS) |
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320 | (4) |
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12.7.1 Total least square procedure |
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322 | (2) |
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12.8 Experimental active receiving array system |
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324 | (1) |
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325 | (1) |
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326 | (17) |
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12.10.1 Autocalibration for a uniform linear array |
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326 | (1) |
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12.10.2 Iterative algorithm for gain and phase calibration |
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327 | (1) |
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12.10.3 Angular ambiguity |
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328 | (3) |
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12.10.4 Experimental autocalibration |
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331 | (2) |
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12.10.5 Extension to calibration of mutual coupling |
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333 | (2) |
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12.10.6 Autocalibration for a volume array |
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335 | (1) |
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12.10.7 Estimation of antenna element position errors |
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336 | (3) |
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12.10.8 Experimental super-resolution in angle |
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339 | (1) |
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12.10.9 Autocalibration in case of multipath propagation |
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340 | (3) |
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343 | (1) |
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344 | (3) |
13 Space–time adaptive processing |
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347 | (18) |
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347 | (1) |
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13.2 Doppler-shifted clutter spectrum |
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347 | (3) |
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13.3 Space–time processing |
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350 | (3) |
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13.4 Necessary degrees of freedom |
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353 | (1) |
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13.5 Suboptimal concept with FIR filter: reduction of time dimension |
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354 | (3) |
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13.6 Suboptimal concept with subarrays: reduction of spatial dimension |
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357 | (5) |
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362 | (1) |
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13.8 Sideways-Looking Radar |
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363 | (1) |
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363 | (1) |
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363 | (2) |
14 Synthetic aperture radar with active phased arrays |
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365 | (28) |
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14.1 Basic principle of SAR |
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365 | (5) |
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14.2 Problems of moving-target detection and location |
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370 | (1) |
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14.3 Clutter suppression with multichannel array radar |
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371 | (7) |
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378 | (1) |
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379 | (2) |
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381 | (1) |
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14.7 Object height by interferometry |
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382 | (3) |
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14.8 Experimental system AER and results |
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385 | (4) |
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14.9 Summary and motivations for SAR with active phased-array antennas |
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389 | (1) |
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390 | (3) |
15 Inverse synthetic aperture radar (ISAR) |
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393 | (22) |
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15.1 Introduction: basic principle |
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393 | (1) |
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15.2 Synthetic aperture and beam forming by target motion |
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394 | (2) |
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15.3 Target cross-range image |
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396 | (2) |
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398 | (10) |
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15.4.1 Range focusing and range walk |
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398 | (1) |
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15.4.2 Focusing with straight-line assumption |
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399 | (1) |
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15.4.3 Focusing for arbitrary flight paths |
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400 | (39) |
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15.4.3.1 Iteration with Fourier transform and Kalman filter |
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400 | (1) |
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15.4.3.2 Doppler shift of a target and its scatterers |
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401 | (3) |
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15.4.3.3 Focusing with Wigner–Ville distribution |
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404 | (4) |
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15.5 High-range resolution |
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408 | (4) |
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15.6 Alternative image planes |
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412 | (1) |
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413 | (1) |
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413 | (2) |
16 Target classification |
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415 | (12) |
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415 | (3) |
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16.2 Doppler spectrum evaluation |
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418 | (7) |
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425 | (2) |
17 Experimental phased-array system ELRA |
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427 | (28) |
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427 | (2) |
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17.2 Antenna parameter selection |
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429 | (3) |
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17.3 Antenna elements and modules |
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432 | (2) |
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17.4 Antenna control and monitoring |
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434 | (5) |
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17.5 Radar functions and waveforms of the ELRA system |
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439 | (5) |
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17.5.1 Available codes and transmit pulses |
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441 | (1) |
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17.5.2 Time budget for a parameter example |
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441 | (26) |
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442 | (2) |
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17.5.2.2 Target location and tracking |
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444 | (1) |
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17.6 Digital signal processing |
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444 | (3) |
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17.7 Array signal processing |
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447 | (1) |
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17.8 Control system, operation and display of functions and results |
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447 | (5) |
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17.9 Experiments with ELRA |
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452 | (1) |
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452 | (1) |
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452 | (3) |
18 Floodlight and MIMO radar concepts |
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455 | (32) |
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455 | (1) |
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18.2 The proposed OLPI concept |
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456 | (2) |
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458 | (1) |
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18.4 The receiving system |
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458 | (2) |
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460 | (1) |
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461 | (1) |
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462 | (2) |
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464 | (1) |
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18.9 Coherent and sequential test function with ACE |
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465 | (1) |
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18.10 OLPI and multifunction radar |
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466 | (1) |
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18.11 Experimental results |
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467 | (1) |
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18.12 Detection and classification of hovering helicopters |
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467 | (10) |
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18.12.1 Classification by flash period |
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472 | (1) |
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18.12.2 ISAR image and spectrum of rotor blades |
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472 | (5) |
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18.13 Spatial coding with a MIMO radar |
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477 | (6) |
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18.14 Summary and conclusions |
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483 | (1) |
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484 | (3) |
19 System and parameter considerations |
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487 | (12) |
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19.1 Parameter selection for search and tracking |
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487 | (9) |
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488 | (3) |
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19.1.2 False-alarm probability |
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491 | (1) |
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19.1.3 Beam position separation |
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492 | (1) |
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493 | (1) |
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19.1.5 Tracking parameters |
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494 | (2) |
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496 | (1) |
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497 | (2) |
20 Passive radar |
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499 | (20) |
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499 | (1) |
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20.2 Parameters and achievable range |
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500 | (2) |
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20.3 Signal description and resolution |
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502 | (3) |
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505 | (6) |
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20.4.1 Adaptive beamforming |
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505 | (1) |
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20.4.2 Clutter cancellation |
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506 | (2) |
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20.4.3 Signal integration |
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508 | (3) |
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511 | (2) |
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20.6 Experimental results |
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513 | (2) |
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515 | (2) |
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517 | (2) |
Index |
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519 | |