What is included with this book?
Preface | p. ix |
List of Abbreviations | p. xiii |
Introduction | p. 1 |
Overview | p. 3 |
The Radar Equation | p. 7 |
Notations and Matrix Identities | p. 9 |
Eigenvalues and Eigenvectors | p. 10 |
Hermitian Matrices | p. 12 |
Singular Value Decomposition (SVD) | p. 16 |
Schur, Kronecker, and Khatri-Rao Products | p. 17 |
Matrix Inversion Lemmas | p. 25 |
Line Spectra and Singular Covariance Matrices | p. 26 |
References | p. 28 |
The Conics | p. 31 |
What Is a Conic? | p. 31 |
Ellipse | p. 33 |
Parabola | p. 39 |
Hyperbola | p. 40 |
The Solar System | p. 44 |
Spherical Triangles | p. 46 |
References | p. 50 |
Two Body Orbital Motion and Kepler's Laws | p. 51 |
Orbital Mechanics | p. 51 |
The Motion of the Center of Mass | p. 52 |
Equations of Relative Motion | p. 54 |
Kepler's Laws | p. 57 |
Synchronous and Polar Orbits | p. 60 |
Satellite Velocity | p. 61 |
Kepler's Equation | p. 67 |
Euler's Equation and the Identification of Comets | p. 71 |
Lambert's Equation for Elliptic Orbits | p. 74 |
References | p. 76 |
Space Based Radar-Kinematics | p. 77 |
Radar-Earth Geometry | p. 77 |
Maximum Range on Earth | p. 81 |
Mainbeam Footprint Size | p. 83 |
Packing of Mainbeam Footprints | p. 86 |
Range Foldover Phenomenon | p. 90 |
Mainbeam Foldover | p. 90 |
Total Range Foldover | p. 94 |
Doppler Shift | p. 97 |
Crab Angle and Crab Magnitude: Modeling Earth's Rotation for SBR | p. 101 |
Range Foldover and Crab Phenomenon | p. 118 |
Ground Range from Latitude and Longitude Coordinates | p. 121 |
Nonsphericity of Earth and the Grazing Angle Correction Factor | p. 123 |
Doppler Effect | p. 130 |
Oblate Spheroidal Earth and Crab Angle Correction | p. 134 |
References | p. 137 |
Space-Time Adaptive Processing | p. 139 |
Spatial Array Processing | p. 139 |
Why Use an Array? | p. 140 |
Maximization of Output SNR | p. 148 |
Space-Time Adaptive Processing | p. 153 |
Side-Looking Airborne Radar | p. 155 |
Minimum Detectable Velocity (MDV) | p. 162 |
Sample Matrix Inversion (SMI) | p. 162 |
Sample Matrix with Digonal Loading (SMIDL) | p. 165 |
Eigen-Structure Based STAP | p. 165 |
Brennan's Rule | p. 166 |
Eigencanceler Methods | p. 167 |
Hung-Turner Projection (HTP) | p. 171 |
Subaperture Smoothing Methods | p. 173 |
Subarray Smoothing | p. 177 |
Subaperture Smoothing Methods for STAP | p. 183 |
Subarray Method | p. 183 |
Subpulse Method | p. 184 |
Subarry-Subpluse Method | p. 184 |
Array Tapering and Covariance Matrix Tapering | p. 188 |
Diagonal Loading as Tapering | p. 192 |
Convex Projection Techniques | p. 194 |
Convex Sets | p. 195 |
Toeplitz Property | p. 196 |
Positive-Definite Property | p. 197 |
Methods of Alternating Projections | p. 198 |
Relaxed Projection Operators | p. 200 |
Factor Time-Space Approach | p. 201 |
Joint-Domain Localized Approach | p. 205 |
Uniform Array Sidelobe Levels | p. 208 |
References | p. 213 |
STAP for SBR | p. 215 |
SBR Data Modeling | p. 216 |
Mainbeam and Sidelobe Clutter | p. 218 |
Ideal Clutter Spectrum | p. 223 |
Minimum Detectable Velocity (MDV) | p. 232 |
MDV with Earth's Rotation and Range Foldover | p. 234 |
Range Foldover Minimization Using Orthogonal Pulsing | p. 246 |
Scatter Return Modeling | p. 255 |
Terrain Modeling | p. 256 |
ICM Modeling | p. 261 |
MDV with Terrain Modeling and Wind Effect | p. 268 |
Effect of Wind on Doppler | p. 270 |
General Theory of Wind Damping Effect on Doppler | p. 275 |
Joint Effect of Terrain, Wind, Range Foldover, and Earth's Rotation on Performance | p. 280 |
STAP Algorithms for SBR | p. 283 |
Matrix Inversion Identity | p. 296 |
Output SINR Derivation | p. 297 |
Spectral Factorization | p. 298 |
Rational System Representation | p. 303 |
References | p. 307 |
Performance Analysis Using Cramer-Rao Bounds | p. 309 |
Cramer-Rao Bounds for Multiparameter Case | p. 309 |
Cramer-Rao Bounds for Target Doppler and Power in Airborne and SBR Cases | p. 320 |
Simulation Results | p. 331 |
References | p. 338 |
Waveform Diversity | p. 341 |
Matched Filter Receivers | p. 344 |
Matched Filter Receivers in White Noise | p. 346 |
Matched Filter Receivers in Colored Noise | p. 353 |
Chirp and Pulse Compression | p. 358 |
Joint Transmitter-Receiver Design in Noise | p. 364 |
Joint Time Bandwidth Optimization | p. 376 |
Transform of a Chirp Signal | p. 385 |
References | p. 391 |
Advanced Topics | p. 393 |
An Infinitesimal Body Around Two Finite Bodies | p. 394 |
Particular Solutions of the Three-Body Problem | p. 401 |
Stability of the Particular Solutions | p. 405 |
Stability of Linear Solutions | p. 409 |
Stability of Equilateral Solutions | p. 412 |
Hill Sphere | p. 417 |
References | p. 420 |
Index | p. 421 |
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