Preface | p. xi |
Introduction | p. 1 |
Doppler Effect | p. 2 |
Relativistic Doppler Effect and Time Dilation | p. 4 |
Doppler Effect Observed in Radar | p. 7 |
Estimation and Analysis of Doppler Frequency Shifts | p. 10 |
Cramer-Rao Bound of the Doppler Frequency Estimation | p. 17 |
The Micro-Doppler Effect | p. 18 |
Micro-Doppler Effect Observed in Radar | p. 20 |
Estimation and Analysis of Micro-Doppler Frequency Shifts | p. 20 |
Instantaneous Frequency Analysis | p. 21 |
Joint Time-Frequency Analysis | p. 23 |
The Micro-Doppler Signature of Objects | p. 26 |
References | p. 28 |
p. 32 | |
MATLAB Source Codes | p. 32 |
Basics of the Micro-Doppler Effect in Radar | p. 35 |
Rigid Body Motion | p. 35 |
Euler Angles | p. 36 |
Quaternion | p. 42 |
Equations of Motion | p. 44 |
Nonrigid Body Motion | p. 47 |
Electromagnetic Scattering from a Body with Motion | p. 50 |
Radar Cross Section of a Target | p. 50 |
RCS Prediction Methods | p. 53 |
EM Scattering from a Body with Motion | p. 54 |
Basic Mathematics for Calculating the Micro-Doppler Effect | p. 56 |
Micro-Doppler Induced by a Target with Micro Motion | p. 56 |
Vibration-Induced Micro-Doppler Shift | p. 60 |
Rotation-Induced Micro-Doppler Shift | p. 63 |
Coning Motion-Induced Micro-Doppler Shift | p. 66 |
Bistatic Micro-Doppler Effect | p. 71 |
Multistatic Micro-Doppler Effect | p. 77 |
Cramer-Rao Bound of the Micro-Doppler Estimation | p. 79 |
References | p. 79 |
p. 81 | |
p. 83 | |
MATLAB Source Codes | p. 83 |
The Micro-Doppler Effect of the Rigid Body Motion | p. 93 |
Pendulum Oscillation | p. 94 |
Modeling Nonlinear Motion Dynamic of a Pendulum | p. 95 |
Modeling RCS of a Pendulum | p. 101 |
Radar Backscattering from an Oscillating Pendulum | p. 102 |
Micro-Doppler Signatures Generated by an Oscillating Pendulum | p. 105 |
Helicopter Rotor Blades | p. 105 |
Mathematic Model of Rotating Rotor Blades | p. 107 |
RCS Model of Rotating Rotor Blades | p. 112 |
PO Facet Prediction Model | p. 114 |
Radar Backscattering from Rotor Blades | p. 116 |
Micro-Doppler Signatures of Rotor Blades | p. 120 |
Required Minimum PRF | p. 123 |
Analysis and Interpretation of the Micro-Doppler Signature of Rotor Blades | p. 123 |
Spinning Symmetric Top | p. 127 |
Force-Free Rotation of a Symmetric Top | p. 130 |
Torque-Induced Rotation of a Symmetric Top | p. 132 |
RCS Model of a Symmetric Top | p. 133 |
Radar Backscattering from a Symmetric Top | p. 135 |
Micro-Doppler Signatures Generated by a Precession Top | p. 136 |
Analysis and Interpretation of the Micro-Doppler Signature of a Precession Top | p. 136 |
Wind Turbines | p. 139 |
Micro-Doppler Signatures of Wind Turbines | p. 140 |
Analysis and Interpretation of the Micro-Doppler Signature of Wind Turbines | p. 140 |
References | p. 141 |
p. 143 | |
MATLAB Source Codes | p. 143 |
The Micro-Doppler Effect of the Nonrigid Body Motion | p. 157 |
Human Body Articulated Motion | p. 159 |
Human Walking | p. 159 |
Description of the Periodic Motion of Human Walking | p. 161 |
Simulation of Human Movements | p. 162 |
Human Body Segment Parameters | p. 162 |
Human Walking Model Derived from Empirical Mathematical Parameterizations | p. 164 |
Capturing Human Motion Kinematic Parameters | p. 177 |
Three-Dimensional Kinematic Data Collection | p. 182 |
Characteristics of Angular Kinematics Using the Angle-Cyclogram Pattern | p. 184 |
Radar Backscattering from a Walking Human | p. 184 |
Human Movement Data Processing | p. 187 |
Human Movement-Induced Radar Micro-Doppler Signatures | p. 189 |
Bird Wing Flapping | p. 194 |
Bird Wing Flapping Kinematics | p. 195 |
Doppler Observations of the Bird Wing Flapping | p. 198 |
Simulation of the Bird Wing Flapping | p. 199 |
Quadrupedal Animal Motion | p. 202 |
Modeling of Quadrupedal Locomotion | p. 204 |
Micro-Doppler Signatures of Quadrupedal Locomotion | p. 205 |
Summary | p. 205 |
References | p. 207 |
p. 209 | |
MATLAB Source Codes | p. 209 |
p. 238 | |
MATLAB Source Codes | p. 238 |
Analysis and Interpretation of Micro-Doppler Signatures | p. 247 |
Biological Motion Perception | p. 248 |
Decomposition of Biological Motion | p. 250 |
Statistics-Based Decomposition | p. 251 |
Decomposition of Micro-Doppler Signatures in the Joint Time-Frequency Domain | p. 251 |
Physical Component-Based Decomposition | p. 252 |
Extraction of Features from Micro-Doppler Signatures | p. 256 |
Estimation of Kinematic Parameters from Micro-Doppler Signatures | p. 257 |
Identifying Human Movements | p. 262 |
Features Used for Identifying Human Movements | p. 263 |
Anomalous Human Behavior | p. 264 |
Summary | p. 266 |
References | p. 267 |
Summary, Challenges, and Perspectives | p. 271 |
Summary | p. 271 |
Challenges | p. 272 |
Decomposing Micro-Doppler Signatures | p. 273 |
Feature Extraction and Target Identification Based on Micro-Doppler Signatures | p. 273 |
Perspectives | p. 275 |
Multistatic Micro-Doppler Analysis | p. 275 |
Micro-Doppler Signature-Based Classification | p. 276 |
Aural Methods for Micro-Doppler-Based Discrimination | p. 276 |
Through-the-Wall Micro-Doppler Signatures | p. 277 |
References | p. 278 |
About the Author | p. 281 |
Index | p. 283 |
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