Space/time/frequency methods in adaptive radar - New Jersey ...

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INDEXanalytic signal, 21array imperfections, 72auto-component, 36basic wavelet, 27basis functions, 23basis signals, 24bilinear, 34clutter, 60coherent integration, 13coherent pulse interval, 60colored noise, 61completeness, 26conditioned signal-to-colored noiseratio (CSNR), 67conditioned SNR, 78continuous chirp signal, 40Continuous Wavelet Transform, 27covariance matrix, 61Cramér-Rao bound, 45Cross range, 9cross-component, 36cross-components, 36cross-spectral metric, 76cross-Wigner distribution, 36eigen-decomposition, 64Eigencanceler, 69fixed transformation, 69Fourier transform, 14Gabor coefficients, 24Gabor expansion, 24Gabor logons, 24Generalized sidelobe canceller, 67group delay, 16, 17instantaneous frequency, 16, 17interference, 64interference subspace, 64linear time-frequency representations,32linearity principle, 32linearly independent, 26local frequency, 27Mountain-Top dataset, 94multicomponent, 18noise, 60, 64noise subspace, 65non-adaptive beamformer, 66optimum signal processing, 66119
120reduced-rank, 73reduced-rank GSC, 74reduced-rank MVB, 73sample covariance matrix, 64sample matrix inversion, 67scalogram, 30secondary data, 61short-time Fourier transform, 18Slant range, 9spectrogram, 18, 30STFT, 18STFT windowing functions, 18Synthetic aperture, 9Synthetic aperture radar, 9target cancellation, 70target motion parameters, 48Time-frequency distributions, 8time-frequency plan, 8time-frequency representation, 17time-frequency uncertainty principle,19two-step nulling, 69wavelets, 29Wigner-Ville distribution, 34
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Copyright Warning & RestrictionsThe
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ABSTRACTSPACE/TIME/FREQUENCY METHOD
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SPACE/TIME/FREQUENCY METHODS IN ADA
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APPROVAL PAGESpace/Time/Frequency M
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ACKNOWLEDGMENTI would like to begin
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ChapterPage3.2.1 Non-Adaptive Beamf
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FigurePage2.22 Scalogram of a linea
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CHAPTER 1INTRODUCTIONVarious space,
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3the target. In this work we study
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5support consists of a population o
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7processing. This is explained by t
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92.1 An Overview of Synthetic Apert
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11Figure 2.2 SAR cross-range Dopple
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13Through the expression for the on
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15Illumination pattern onEarth's su
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17Figure 2.6 Time-frequency descrip
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19Figure 2.7 Computation of the sho
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21Figure 2.9 Spectrogram of a multi
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23where 9/ is the Hilbert transform
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Figure 2.11 Gabor Transform of a si
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272.3.3 Continuous Wavelet Transfor
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29Figure 2.13 Time-Frequency resolu
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Figure 2.14 Scalogram of a sine wav
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Figure 2.16 Regions of influence co
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Figure 2.17 WVD transform of a sine
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37Figure 2.18 Example of WVD cross
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39(a) Contour plot of the WVD of a
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41(a) Contour plot of the STFT of a
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43(a) Contour plot of the Gabor exp
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452.5 Time-Frequency Analysis in No
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47Consequently, when the slope S, i
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49where:Doppler phase shift due to
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51(a) Contour plotFigure 2.24 SAR i
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53(a) Contour plotFigure 2.26 SAR i
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55calculated in each case. In this
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57(a) Moving target with synthetic
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Figure 2.31 SAR with 2 moving targe
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61Figure 3.1 Space-time adaptive ar
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63Figure 3.3 Airborne radar basic g
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subspace is formed using the remain
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67where k is a gain constant and R
Page 84 and 85: 69The scalar beamformed noise estim
Page 86 and 87: 71are the desired signal, interfere
Page 88 and 89: CHAPTER 4REDUCED-RANK PROCESSINGThe
Page 90 and 91: 75Figure 4.2 Reduced-rank GSCThis m
Page 92 and 93: 77This relation establishes an equi
Page 94 and 95: 79The conditioned SNR is a random v
Page 96 and 97: 81The performance of the GSC proces
Page 98 and 99: 83For large interference eigenvalue
Page 100 and 101: 85the steering vector s, and the ve
Page 102 and 103: 87(a) CSNR vs Rank order for other
Page 104 and 105: 89Figure 5.4 CSNR vs Rank order for
Page 106 and 107: 91Figure 5.6 Theoretical and simula
Page 108 and 109: 93Figure 5.8 CSNR vs CNRThe signal
Page 110 and 111: 950.80.80.6 0.6~(5'0.4IC!J0.40.20.2
Page 112 and 113: 97the spatial domain. The target is
Page 114 and 115: 99(a) Training outside the target r
Page 116 and 117: 101(a) Training around the target r
Page 118 and 119: 103Figure 5.15 Angle scan with the
Page 120 and 121: CHAPTER 6CONCLUSIONSThis work has b
Page 122 and 123: 107also presented. The Sample Matri
Page 124 and 125: APPENDIX ADISCRETE COSINE TRANSFORM
Page 126 and 127: 111This matrix is formed using the
Page 128 and 129: REFERENCES1. Leon Cohen. Time-frequ
Page 130 and 131: 11523. Franz Hlawatsch and G. Faye
Page 132 and 133: 11750. Daniel F. Marshall. A two st
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