Space Based Radar Theory & Applications

by Pillai, S; Li, Ke Yong; Himed, Braham

• ISBN13: 9780071497565
• ISBN10: 0071497560
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-01-10
• Publisher: McGraw-Hill Education

Summary

Begin with the fundamental theories and principles and advance to actual applications(MTI) in interference and noiseThis is the first comprehensive professional reference covering the design and application of the complex radio systems located in outer space that serve various military and civilian functions.

Author Biography

S. Unnikrishna Pillai, Ph.D. is a professor of electricaland computer engineering at Polytechic University.Ke Yong Li is a staff engineer at C&P Technologies, Inc..Braham Himed, Ph.D. is chief research officer at SignalLabs, Inc. He was formerly a senior research engineer at the US AirForce Research Laboratory, Rome Research Site.

Table of Contents

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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