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

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FigurePage2.22 Scalogram of a linear FM signal 442.23 Input SNR vs 1/mse of CRB, WVD, STFT, Gabor expansion, and CWT 482.24 SAR image processed using the WVD 512.25 SAR image processed using the STFT 522.26 SAR image processed using the Gabor expansion 532.27 SAR image processed using the scalogram 542.28 SAR image processed using the WVD 562.29 SAR image processed using the STFT 572.30 SAR image processed using the Gabor expansion 582.31 SAR image processed using CWT 593.1 Space-time adaptive array architecture 613.2 Space-time adaptive array datacube 623.3 Airborne radar basic geometry 633.4 Full-rank GSC processor 684.1 Reduced-rank MVB 744.2 Reduced-rank GSC 755.1 CSNR vs Rank order 865.2 CSNR vs Rank order for other techniques 875.3 CSNR vs Rank order with large clutter field 885.4 CSNR vs Rank order for other techniques with large clutter field 895.5 Probability density of the CSNR 905.6 Theoretical and simulated CSNR for the DCT and DFT 915.7 Probability of detection for reduced-rank methods 925.8 CSNR vs CNR 935.9 Effects of SNR and Pointing Pointing Error on Array Gain 955.10 Effects of phase errors and pointing error on Array Gain 96
FigurePage5.11 Post-Doppler range plots using 60 training points with training outsidethe target region 995.12 Post-Doppler range plots using 60 training points with training outsidethe target region. SMI, EIG, and non-adaptive techniques 1005.13 Post-Doppler range plots using 60 training points with training aroundthe target region with the target not included 1015.14 Post-Doppler range plots using 60 training points with training aroundthe target region with the target included 1025.15 Angle scan with the target not included in the training 1035.16 Signal cancellation based on the number of training points 104xi
Page 1 and 2: Copyright Warning & RestrictionsThe
Page 3 and 4: ABSTRACTSPACE/TIME/FREQUENCY METHOD
Page 5 and 6: SPACE/TIME/FREQUENCY METHODS IN ADA
Page 7: APPROVAL PAGESpace/Time/Frequency M
Page 10 and 11: ACKNOWLEDGMENTI would like to begin
Page 12 and 13: ChapterPage3.2.1 Non-Adaptive Beamf
Page 16 and 17: CHAPTER 1INTRODUCTIONVarious space,
Page 18 and 19: 3the target. In this work we study
Page 20 and 21: 5support consists of a population o
Page 22 and 23: 7processing. This is explained by t
Page 24 and 25: 92.1 An Overview of Synthetic Apert
Page 26 and 27: 11Figure 2.2 SAR cross-range Dopple
Page 28 and 29: 13Through the expression for the on
Page 30 and 31: 15Illumination pattern onEarth's su
Page 32 and 33: 17Figure 2.6 Time-frequency descrip
Page 34 and 35: 19Figure 2.7 Computation of the sho
Page 36 and 37: 21Figure 2.9 Spectrogram of a multi
Page 38 and 39: 23where 9/ is the Hilbert transform
Page 40 and 41: Figure 2.11 Gabor Transform of a si
Page 42 and 43: 272.3.3 Continuous Wavelet Transfor
Page 44 and 45: 29Figure 2.13 Time-Frequency resolu
Page 46 and 47: Figure 2.14 Scalogram of a sine wav
Page 48 and 49: Figure 2.16 Regions of influence co
Page 50 and 51: Figure 2.17 WVD transform of a sine
Page 52 and 53: 37Figure 2.18 Example of WVD cross
Page 54 and 55: 39(a) Contour plot of the WVD of a
Page 56 and 57: 41(a) Contour plot of the STFT of a
Page 58 and 59: 43(a) Contour plot of the Gabor exp
Page 60 and 61: 452.5 Time-Frequency Analysis in No
Page 62 and 63: 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
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69The scalar beamformed noise estim
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71are the desired signal, interfere
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CHAPTER 4REDUCED-RANK PROCESSINGThe
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75Figure 4.2 Reduced-rank GSCThis m
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77This relation establishes an equi
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79The conditioned SNR is a random v
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81The performance of the GSC proces
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83For large interference eigenvalue
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85the steering vector s, and the ve
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87(a) CSNR vs Rank order for other
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89Figure 5.4 CSNR vs Rank order for
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91Figure 5.6 Theoretical and simula
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93Figure 5.8 CSNR vs CNRThe signal
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950.80.80.6 0.6~(5'0.4IC!J0.40.20.2
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97the spatial domain. The target is
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99(a) Training outside the target r
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101(a) Training around the target r
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103Figure 5.15 Angle scan with the
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CHAPTER 6CONCLUSIONSThis work has b
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107also presented. The Sample Matri
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APPENDIX ADISCRETE COSINE TRANSFORM
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111This matrix is formed using the
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REFERENCES1. Leon Cohen. Time-frequ
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11523. Franz Hlawatsch and G. Faye
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11750. Daniel F. Marshall. A two st
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INDEXanalytic signal, 21array imper
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