Contents v -- Preface xi -- Acknowledgments xiii -- 1 Introduction-Fundamentals of Receivers 1 -- 1.1 Scope and Purpose of the Book 1 -- 1.2 A Brief History of Sensing Systems, Their Influence on Signal Processing Development and Applications... 4 -- 2 Review of Probability 15 -- 2.1 Bernoulli Trials-The Binomial Distribution 15 -- 2.2 The Poisson Distribution 17 -- 2.3 The Exponential Distribution 18 -- 2.4 The Gaussian Distribution 19 -- 2.5 The Rayleigh and Rice Distributions 19 -- 2.6 Joint Distributions, Conditional Distributions, and Bayes' Theorem 19 -- 2.7 Characteristic Functions 21 -- 2.8 The Law of Large Numbers 24 -- 2.9 The Central Limit Theorem 24 -- 2.10 Approximations to the Gaussian Distribution 27 -- 2.11 Functions of a Random Variable 29 -- Exercises for Chapter 2 30 -- 3 Review of Noise and Random Processes 33 -- 3.1 Introduction-Correlation Functions and Power Spectral Densities 33 -- 3.2 Types of Noise 37 -- 3.3 Power Spectral Density of Thermal Noise-Nyquist's Theorem 39 -- 3.4 Power Spectral Density of Shot Noise 41 -- 3.5 Shot Noise and Optical Receivers-The Quantum Limit 46 -- 3.6 Noise Statistics-Shot Noise in RF and Optical Systems 50 -- 3.7 Noise Figure and Noise Temperature 56 -- 3.8 Noise Figure of an Attenuator 59 -- 3.9 Applications-Noise Power Measurements, SNR 60 -- 3.10 Connections with Statistical Physics 65 -- Exercises for Chapter 3 68 -- 4 Continuous and Discrete-Time Signals 75 -- 4.1 The Sampling Theorem and Oversampling 75 -- 4.2 The Sampling Theorem for Bandpass Carrier Signals 88 -- 4.3 Signal Duration and Bandwidth 90 -- 4.4 The Analytic Signal 92 -- 4.5 Processing of Continuous and Discrete-Time Signals 97 -- Exercises for Chapter 4 106 -- 5 Detection of Signals in Noise 109.

5.1 Statistical Decision Theory-The Likelihood Ratio Test 109 -- 5.2 Decision Criteria-Bayes, Maximum Likelihood, and Neyman-Pearson 111 -- 5.3 Implementation of Decision Criteria 115 -- 5.4 Correlation Detection: The Matched Filter-I 123 -- 5.5 The Matched Filter-II 133 -- Exercises for Chapter 5 136 -- 6 Coherent and Noncoherent Detection and Processing 145 -- 6.1 Ideal Noncoherent Detection of a Single Pulse 146 -- 6.2 Comparison of Coherent and Noncoherent Detection of a Single Pulse 153 -- 6.3 Improvement in SNR by Coherent and Noncoherent Integration 159 -- 6.4 Performance of Coherent and Noncoherent Integration 173 -- 6.5 Summary of Coherent and Noncoherent Detection and Processing 178 -- Exercises for Chapter 6 180 -- 7 Parameter Estimation and Applications 183 -- 7.1 Estimation of Range to a Target 184 -- 7.2 Generalized Parameter Estimation 195 -- 7.3 Applications of Maximum-Likelihood Estimation to 200 -- 7.4 Application of Parameter Estimation to Tracking and Prediction 209 -- Exercises for Chapter 7 216 -- 8 Waveform Analysis, Range-Doppler Resolution, and Ambiguity 221 -- 8.1 Waveform Analysis 222 -- 8.2 Range-Doppler Resolution and Ambiguity-The Generalized Ambiguity Function 227 -- Exercises for Chapter 8 235 -- 9 Large Time Bandwidth Waveforms 237 -- 9.1 Chirp Waveforms and Pulse Compression 2390 -- 9.2 Doppler-Invariant Properties of Chirp Waveforms 246 -- 9.3 Hyperbolic Frequency Modulation (HFM) 251 -- 9.4 Ambiguity Functions for Large BT Waveforms 254 -- 9.5 Coded Waveforms 257 -- Exercises for Chapter 9 260 -- 10 Generalized Coherent and Noncoherent Detection and Processing 263 -- 10.1 Noncoherent Detection of a Single Pulse 264 -- 10.2 Coherent and Noncoherent Integration 267 -- Exercises for Chapter 10 270 -- 11 Systems Considerations 271.

11.1 Beampatterns and Gain of Antennas and Arrays 271 -- 11.2 The Radar and Sonar Equations 279 -- 11.3 The Search Problem 282 -- 11.4 Specification of the False-Alarm Probability, Pfa 284 -- Appendix A: Table of Values of the Error Function 287 -- References 293 -- About the Author 297 -- Index 299.