Preface | p. v |
List of Symbols | p. xv |
The Basic Elements of Matched Filtering and Pulse Compression | |
Introduction | p. 1 |
The Matched-Filter Concept | p. 5 |
The Pulse-Compression Concept--Historical Background | p. 9 |
The Pulse-Compression Concept--A Heuristic Development of the Significant Parameters | p. 11 |
The Matched-Filter Characteristics For A General Fm Pulse-Compression Signal | p. 15 |
References | p. 17 |
Optimum Predetection Processing--Matched-Filter Theory | |
Introduction | p. 18 |
Signal-To-Noise Criterion | p. 19 |
The Likelihood Criterion--Statistical Decision Theory | p. 24 |
The Likelihood Criterion--Parameter Estimation Theory | p. 27 |
Inverse Probability | p. 28 |
References | p. 33 |
Matched-Filter Requirements for Arbitrary FM Pulse-Compression Signals | |
Introduction | p. 34 |
The Principle of Stationary Phase | p. 34 |
Application of Principle of Stationary Phase to General Pulse-Compression Signals | p. 37 |
Waveform Design Applications to Fm Pulse-Compression Signals | p. 45 |
The Matched-Filter Ambiguity Function | p. 56 |
References | p. 58 |
The Radar Ambiguity Function | |
Introduction | p. 59 |
Complex Waveform Representation | p. 60 |
The Doppler Approximation | p. 64 |
The General Ambiguity Function Formulation | p. 65 |
Properties of the Ambiguity Function | p. 68 |
The Uniqueness Theorem | p. 76 |
Volume Free Area and Average Sidelobe Level | p. 76 |
An Expansion Theorem for Ambiguity Functions | p. 79 |
The Ambiguity Function Close to the Origin | p. 80 |
Generalized Waveform Uncertainty Principle | p. 82 |
The Time Resolution Constant | p. 83 |
Ambiguity Function Examples | p. 86 |
The Principle of Stationary Phase Applied to Ambiguity Function Analysis | p. 101 |
Summary | p. 105 |
References | p. 108 |
Parameter Estimation | |
Introduction | p. 109 |
The Radar Parameters | p. 110 |
The Problem of Parameter Estimation | p. 111 |
The Cramer-Rao Inequality | p. 112 |
Sample Space | p. 115 |
Joint Radar Parameter Estimation Errors as Seen by an Unbiased Estimator | p. 115 |
The Theoretical Rms Bandwidth for Signals that Exhibit Step Discontinuous Amplitude and/or Phase Characteristics | p. 122 |
The Method of Maximum Likelihood | p. 123 |
References | p. 128 |
The Linear FM Waveform and Matched Filter | |
Introduction | p. 130 |
Linear Fm Matched-Filter Waveform | p. 130 |
Linear Fm Matched-Filter Characteristics | p. 136 |
The Ideal vs the Practical Matched Filter | p. 140 |
Generating the Linear Fm Matched-Filter Signal | p. 143 |
Effect of Linear Delay Mismatch on the Compressed-Pulse Signal | p. 152 |
Large Time-Bandwidth Techniques | p. 160 |
Doppler Shift Distortion of Large Time-Bandwidth Linear Fm Signals | p. 167 |
References | p. 171 |
Matched-Filter Waveform Considerations--Range Sidelobe Reduction | |
Introduction | p. 173 |
Spectrum Amplitude Functions for Desirable Matched-Filter Waveform Properties | p. 176 |
Comparison of Time Weighting and Frequency Weighting for Linear FM Sidelobe Reduction | p. 185 |
Effect of Weighting on Matched-Filter Output Signal-to-Noise Ratio | p. 191 |
Spectrum Weighting Data--Compressed-Pulse Waveform Characteristics | p. 198 |
Effect of Exact Linear FM Spectrum on the Weighted Compressed Pulse | p. 206 |
FM Predistortion | p. 212 |
Realization of Weighting Function Responses by Transversal Filtering | p. 218 |
Nonlinear FM Matched Filters for Sidelobe Reduction | p. 222 |
References | p. 225 |
Discrete Coded Waveforms | |
Introduction | p. 226 |
Constant Carrier Pulse Trains (Group I) | p. 227 |
Binary Phase Codes (Group II) | p. 241 |
Polyphase Codes (Group II) | p. 251 |
Discrete Frequency Sequences (Group III) | p. 269 |
Matched Filters for Discrete Coded Signals | p. 278 |
Doppler Correction of Discrete Coded Signals | p. 287 |
Summary | p. 293 |
References | p. 295 |
The Measurement Accuracies of Matched-Filter Radar Signals--Waveform Design Criteria | |
Introduction | p. 297 |
Minimum Time and Frequency Error Variances for Some Large Time-Bandwidth Radar Signals | p. 299 |
The Effect of Range-Doppler Coupling on Theoretical Measurement Errors | p. 310 |
Nonlinear FM and Frequency Jump Signals With Small RMS Measurement Errors | p. 315 |
Considerations for Improved Measurement Accuracy with Unidirectional FM Waveforms | p. 319 |
Conditions for Minimum-Error Joint Estimates of Range and Velocity | p. 322 |
Range-Doppler Coupling for Discrete Coded Waveforms | p. 327 |
References | p. 332 |
Waveform Design Criteria for Multiple and Dense Target Environments | |
Introduction | p. 333 |
Waveform Considerations for Extended Distributions of Semi-Isolated Moving Scatters | p. 334 |
Waveform Optimization for Stationary or Slowly Moving Clutter | p. 338 |
Comparison of the Effectiveness of Different Waveforms for the Stationary or Slowly Moving Clutter Case | p. 341 |
The "Optimum" Clutter Rejection Filter | p. 345 |
Waveform Design Considerations for Dense Distributions of Moving Scatterers | p. 347 |
Some Summary Remarks Concerning the General Signal Design Problem | p. 356 |
References | p. 364 |
Effects of Distortion on Matched-Filter Signals | |
Introduction | p. 366 |
Paired-Echo Distortion Analysis | p. 367 |
Delay Distortion as a Measure of Phase Distortion | p. 378 |
Matched-Filter Modulation Distortion | p. 380 |
Complex Modulation Distortion Functions | p. 389 |
Sources of Phase Modulation Distortion | p. 394 |
The Representation of Distorted Output Time Functions for General Matched-Filter Signals | p. 397 |
Measures of Resolution Loss for Random Phase Errors | p. 401 |
Distortion Compensation | p. 406 |
References | p. 412 |
The Design of Dispersive Delay Functions--I | |
Introduction | p. 413 |
The All-Pass Time Delay Network | p. 414 |
All-Pass Network Delay Approximation | p. 416 |
Lattice Conversion to Unbalanced Form | p. 420 |
Illustrative Design of a Linear Delay Network | p. 423 |
Matched-Filter Error Correction | p. 427 |
Alignment of Bridged-T All-Pass Sections | p. 435 |
References | p. 438 |
The Design of Dispersive Delay Functions--II Ultrasonic Delay Lines | |
Introduction | p. 439 |
Parameters of Ultrasonic Waves in Isotropic Elastic Media | p. 440 |
Dispersive Delay Characteristics of Shear Mode Propagation in Strips | p. 443 |
Dispersive Delay Characteristics of Longitudinal Mode Propagation in Strips | p. 447 |
Wire Type Dispersive Delay Lines | p. 456 |
Transducer Characteristics for Thin Strip Lines | p. 457 |
System Specifications for Dispersive Ultrasonic Delay Lines | p. 460 |
Dispersive Diffraction Grating Devices | p. 465 |
References | p. 473 |
Microwave and Optical Matched-Filter Techniques | |
Introduction | p. 475 |
The Folded-Tape Meander Line | p. 476 |
The Hybrid Ring "All-Pass" Design | p. 483 |
Microwave Pulse-Compression Filters Using Tapped Delay Line Techniques | p. 486 |
Continuous Microwave Dispersive Structures | p. 491 |
Optical Signal Processing--Spatial Filtering | p. 501 |
Optical Matched Filters for Radar Application | p. 507 |
The Ultrasonic Light Modulator | p. 512 |
References | p. 518 |
Bibliography | p. 520 |
Author Index | p. 523 |
Subject Index | p. 527 |
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