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Space Based Radar
CITATION
Pillai, S;
Li, Ke Yong; and
Himed, Braham
.
Space Based Radar
.
US
: McGraw-Hill Professional, 2007.
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Space Based Radar
Authors:
S Pillai
,
Ke Yong Li
and
Braham Himed
Published:
December 2007
eISBN:
9780071595926 0071595929
|
ISBN:
9780071497565
Open eBook
Book Description
Table of Contents
Contents
Preface
List of Abbreviations
1 Introduction
1.1 Overview
1.2 The Radar Equation
1.3 Notations and Matrix Identities
1.3.1 Eigenvalues and Eigenvectors
1.3.2 Hermitian Matrices
1.3.3 Singular Value Decomposition (SVD)
1.3.4 Schur, Kronecker, and Khatri-Rao Products
1.3.5 Matrix Inversion Lemmas
Appendix 1-A: Line Spectra and Singular Covariance Matrices
References
2 The Conics
2.1 What Is a Conic?
2.1.1 Ellipse
2.1.2 Parabola
2.1.3 Hyperbola
2.2 The Solar System
Appendix 2-A: Spherical Triangles
References
3 Two Body Orbital Motion and Kepler’s Laws
3.1 Orbital Mechanics
3.1.1 The Motion of the Center of Mass
3.1.2 Equations of Relative Motion
3.2 Kepler’s Laws
3.3 Synchronous and Polar Orbits
3.4 Satellite Velocity
Appendix 3-A: Kepler’s Equation
Appendix 3-B: Euler’s Equation and the Identification of Comets
Appendix 3-C: Lambert’s Equation for Elliptic Orbits
References
4 Space Based Radar—Kinematics
4.1 Radar-Earth Geometry
4.2 Maximum Range on Earth
4.3 Mainbeam Footprint Size
4.4 Packing of Mainbeam Footprints
4.5 Range Foldover Phenomenon
4.5.1 Mainbeam Foldover
4.5.2 Total Range Foldover
4.6 Doppler Shift
4.7 Crab Angle and Crab Magnitude: Modeling Earth’s Rotation for SBR
4.7.1 Range Foldover and Crab Phenomenon
Appendix 4-A: Ground Range from Latitude and Longitude Coordinates
Appendix 4-B: Nonsphericity of Earth and the Grazing Angle Correction Factor
Appendix 4-C: Doppler Effect
Appendix 4-D: Oblate Spheroidal Earth and Crab Angle Correction
References
5 Space-Time Adaptive Processing
5.1 Spatial Array Processing
5.1.1 Why Use an Array?
5.1.2 Maximization of Output SNR
5.2 Space-Time Adaptive Processing
5.3 Side-Looking Airborne Radar
5.3.1 Minimum Detectable Velocity (MDV)
5.3.2 Sample Matrix Inversion (SMI)
5.3.3 Sample Matrix with Diagonal Loading (SMIDL)
5.4 Eigen-Structure Based STAP
5.4.1 Brennan’s Rule
5.4.2 Eigencanceler Methods
5.4.3 Hung-Turner Projection (HTP)
5.5 Subaperture Smoothing Methods
5.5.1 Subarray Smoothing
5.6 Subaperture Smoothing Methods for STAP
5.6.1 Subarray Method
5.6.2 Subpulse Method
5.6.3 Subarry-Subpluse Method
5.7 Array Tapering and Covariance Matrix Tapering
5.7.1 Diagonal Loading as Tapering
5.8 Convex Projection Techniques
5.8.1 Convex Sets
5.8.2 Toeplitz Property
5.8.3 Positive-Definite Property
5.8.4 Methods of Alternating Projections
5.8.5 Relaxed Projection Operators
5.9 Factor Time-Space Approach
5.10 Joint-Domain Localized Approach
Appendix 5-A: Uniform Array Sidelobe Levels
References
6 STAP for SBR
6.1 SBR Data Modeling
6.1.1 Mainbeam and Sidelobe Clutter
6.1.2 Ideal Clutter Spectrum
6.2 Minimum Detectable Velocity (MDV)
6.3 MDV with Earth’s Rotation and Range Foldover
6.4 Range Foldover Minimization Using Orthogonal Pulsing
6.5 Scatter Return Modeling
6.5.1 Terrain Modeling
6.5.2 ICM Modeling
6.6 MDV with Terrain Modeling and Wind Effect
6.6.1 Effect of Wind on Doppler
6.6.2 General Theory of Wind Damping Effect on Doppler
6.7 Joint Effect of Terrain, Wind, Range Foldover, and Earth’s Rotation on Performance
6.8 STAP Algorithms for SBR
Appendix 6-A: Matrix Inversion Identity
Appendix 6-B: Output SINR Derivation
Appendix 6-C: Spectral Factorization
Appendix 6-D: Rational System Representation
References
7 Performance Analysis Using Cramer-Rao Bounds
7.1 Cramer-Rao Bounds for Multiparameter Case
7.2 Cramer-Rao Bounds for Target Doppler and Power in Airborne and SBR Cases
7.3 Simulation Results
References
8 Waveform Diversity
8.1 Matched Filter Receivers
8.1.1 Matched Filter Receivers in White Noise
8.1.2 Matched Filter Receivers in Colored Noise
8.2 Chirp and Pulse Compression
8.3 Joint Transmitter–Receiver Design in Noise
8.4 Joint Time Bandwidth Optimization
Appendix 8-A: Transform of a Chirp Signal
References
9 Advanced Topics
9.1 An Infinitesimal Body Around Two Finite Bodies
9.1.1 Particular Solutions of the Three-Body Problem
9.1.2 Stability of the Particular Solutions
9.1.3 Stability of Linear Solutions
9.1.4 Stability of Equilateral Solutions
Appendix 9-A: Hill Sphere
References
Index