| Preface |
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xiii | |
| List of Symbols |
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xvii | |
| List of Illustrations |
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xxi | |
| 1 Signal Theory and Analysis |
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1.1 Special Functions Used in Signal Processing |
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1.1.1 Delta or Impulse Function δ(t) |
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1.1.2 Sampling or Interpolation Function sinc (t) |
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1.2 Linear System and Convolution |
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1.2.1 Key Properties of Convolution |
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1.3 Fourier Series Representation of Periodic Signals |
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1.3.1 Trigonometric Fourier Series |
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1.3.2 Compact Trigonometric Fourier Series |
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1.3.3 Exponential Fourier Series |
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1.4 Nonperiodic Signal Representation by Fourier Transform |
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1.5 Fourier Transform of a Periodic Signal |
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1.6 Sampling Theory and Interpolation |
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1.7 Advanced Sampling Techniques |
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1.7.1 Sampling with Bandpass Signal |
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1.7.2 Resampling by Evenly Spaced Decimation |
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1.7.3 Resampling by Evenly Spaced Interpolation |
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1.7.4 Resampling by Fractional Rate Interpolation |
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1.7.5 Resampling from Unevenly Spaced Data |
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1.7.5.1 Jacobian of Transformation |
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| 2 Discrete Time and Frequency Transformation |
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35 | |
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2.1 Continuous and Discrete Fourier Transform |
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2.2 Key Properties of Discrete Fourier Transform |
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2.2.1 Shifting and Symmetry |
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2.2.2 Linear and Circular Convolution |
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2.2.3 Sectioned Convolution |
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2.2.3.1 Overlap-and-Add Method |
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2.2.3.2 Overlap-and-Save Method |
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2.2.4 Zero Stuffing and Discrete Fourier Transform (DFT) Resolution |
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2.3 Widows and Discrete Fourier Transform |
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2.4 Fast Fourier Transform |
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2.4.1 Radix-2 Fast Fourier Transform (FFT) Algorithms |
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2.5 Discrete Cosine Transform (DCT) |
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2.5.1 Two-Dimensional DCT |
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2.6 Continuous and Discrete Signals in Time and Frequency Domains |
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2.6.1 Graphical Representation of DFT |
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2.6.2 Resampling with Fractional Interpolation Based on DFT |
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| 3 Basics of Antenna Theory |
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3.1 Maxwell and Wave Equations |
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3.1.1 Harmonic Time Dependence |
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3.2 Radiation from an Infinitesimal Current Dipole |
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3.2.1 Magnetic Vector Potential Due to a Small but Finite Current Element |
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3.2.2 Field Vectors Due to Small but Finite Current Radiation |
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3.2.4 Summary of Radiation Fields |
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3.3 Radiation from a Half-Wavelength Dipole |
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3.4 Radiation from a Linear Array |
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3.4.1 Power Radiation Pattern from a Linear Array |
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3.5 Power Radiation Pattern from a 2D Rectangular Array |
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3.6 Fundamentals of Antenna Parameters |
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3.6.1 Radiation Beamwidth |
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3.6.2 Solid Angle, Power Density, and Radiation Intensity |
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3.6.3 Directivity and Gain |
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3.6.6 Effective Area and Antenna Gain |
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3.7 Commonly Used Antenna Geometries |
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3.7.1 Single-Element Radiators |
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3.7.2 Microstrip Antennas and Antenna Array |
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| 4 Fundamentals of Radar |
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4.1 Principles of Radar Operation |
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4.2 Basic Configuration of Radar |
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4.2.5 Computer Signal Processor |
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4.3 The Radar Range Equation |
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4.4 Cross Section and Clutter |
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4.4.1 Target Cross Section |
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4.4.2 Cross Section and the Equivalent Sphere |
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4.4.3 Cross Section of Real Targets |
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4.4.4 Radar Cross Section (RCS) |
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4.5 Doppler Effect and Frequency Shift |
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4.6 Radar Resolution and Ambiguity Function |
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| 5 Radar Modulation and Target Detection Techniques |
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5.1 Amplitude Modulation (AM) Radar |
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5.1.1 Continuous-Wave (CW) Radar |
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5.1.2 Pulse Modulation Radar |
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5.2 Target Detection Techniques of AM-Based Radar |
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5.2.1 Doppler Frequency Extraction |
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5.2.2 Motion Direction Detection |
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5.3 Frequency Modulation (FM)-Radar |
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5.3.1 Pulsed Linear Frequency Modulation (LFM) Radar |
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5.3.2 Continuous-Wave Linear Frequency Modulation Radar |
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5.3.3 Stepped Frequency Modulation Radar |
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5.4 Target Detection Techniques of FM-Based Radar |
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5.4.1 In-Phase Quadrature-Phase Demodulator |
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5.4.2 Matched Filter and Pulse Compression |
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5.4.3 Target Detection Techniques of LFM Radar |
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5.4.4 Target Detection Techniques of SFM Radar |
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| 6 Basics of Radar Imaging |
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6.2 Geometry of Imaging Radar |
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6.3 Doppler Frequency and Radar Image Processing |
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6.3.2 SAR with Squint Angle |
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6.3.2.1 SAR with a Small Squint Angle |
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6.3.2.2 SAR with a Low Squint Angle |
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6.4 Range Migration and Curvature |
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6.5 Geometric Distortions of the Radar Image |
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6.5.4 Slant-to-Ground Range Distortion |
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6.6 Radar Image Resolution |
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6.6.1 Example of Real Aperture Radar (RAR) Resolution: ERS-1/2-Imaging Radars |
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191 | |
| 7 System Model and Data Acquisition of SAR Image |
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7.1 System Model of Range Radar Imaging |
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7.1.2 Reconstruction of Range Target Function |
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7.2 System Model of Cross-Range Radar Imaging |
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7.2.1 Broadside Radar Case |
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7.2.1.2 Principle of Stationary Phase |
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7.2.1.3 Spatial Fourier Transform of Cross-Range Target Response |
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7.2.1.4 Reconstruction of Cross-Range Target Function |
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7.2.2.2 Spatial Fourier Transform of Cross-Range Target Response |
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7.2.2.3 Reconstruction of Cross-Range Target Function |
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7.3 Data Acquisition, Sampling, and Power Spectrum of Radar Image |
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7.3.1 Digitized Doppler Frequency Power Spectrum |
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| 8 Range–Doppler Processing on SAR Images |
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8.1 SAR Image Data Generation |
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8.2 Synthesis of a Broadside SAR Image Data Array |
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8.2.2 Multiple-Target Case |
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8.3 Synthesis of a Squint SAR Image Data Array |
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8.3.2 Multiple-Target Case |
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8.4 Range–Doppler Processing of SAR Data |
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8.4.3 Range Cell Migration Correction |
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8.4.3.1 Computation of Range Migration Amount |
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8.4.3.2 Fractional Range Sample Interpolation |
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8.4.3.3 Range Sample Shift |
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8.4.4 Azimuth Compression |
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8.4.4.1 Doppler Frequency Centroid |
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8.4.4.2 Doppler Frequency Change Rate β |
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8.4.4.3 Pulse Duration Time Ta |
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8.5.1 Broadside SAR with Single Target |
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8.5.2 Broadside SAR with Multiple Targets |
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8.5.3 Squint SAR with Single Target |
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8.5.4 Squint SAR with Multiple Targets |
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275 | |
| 9 Stolt Interpolation Processing on SAR Images |
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9.1 Wavenumber Domain Processing of SAR Data |
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285 | |
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9.2 Direct Interpolation from Unevenly Spaced Samples |
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288 | |
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9.3 Stolt Interpolation Processing of SAR Data |
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9.3.1 System Model of Broadside SAR with Six Targets |
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9.3.2 Synthesis of Broadside SAR Data Array |
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9.3.4 System Model of Squint SAR with Six Targets |
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9.3.5 Synthesis of Squint SAR Data Array |
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9.4 Reconstruction of Satellite Radar Image Data |
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9.5 Comparison Between Range—Doppler and Stolt Interpolation on SAR Data Processing |
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328 | |
| Further Reading |
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333 | |
| Index |
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335 | |