Statistical Theory of Signal Detection

Preface to Second EditionFrom the Preface to First EditionI. Signals And Filters 1. Signals and Their Spectra 2. Filters 3. Narrowband Signals 4. Narrowband Filters 5. The Uncertainty Relation 6. The Synthesis of Filters Problems BibliographyII. Noise 1. Stochastic Processes and Their Distributions 2. The Spectral Density 3. Two Varieties of Noise 4. Gaussian Stochastic Processes 5. The Physics of Noise 6. Narrowband Noise Problems BibliographyIII. Hypothesis Testing 1. Signal Detection and Statistics 2. Testing of Simple Hypotheses by a Single Measurement 3. Testing of Simple Hypotheses by Multiple Measurements Problems BibliographyIV. Detection of a Known Signal 1. Detection in White Gaussian Noise 2. The Matched Filter 3. Detection in Colored Noise 4. The Karhunen-Loeve Expansion 5. Solution of the integral Equations Problems BibliographyV. Detection of Signals of Unknown Phase 1. Testing Composite Hypotheses 2. Detection of a Signal of Unknown Phase 3. The Detectability of Signals of Unknown Phase 4. Detection of Signals of Unknown Amplitude and Phase 5. Signals of Unknown Amplitude, Phase, and Time of Arrival Problems BibliographyVI. Digital Communications 1. The Transmission of Discrete Information 2. Binary Channels 3. Channels with More than Two Signals 4. The Reception of Overlapping Pulses Problems BibliographyVII. Detection by Multiple Observations 1. Detection of a Fixed Number of Signals 2. Detection Probability of the Quadratic Threshold Detector 3. Sequential Detection Problems BibliographyVIII. The Estimation of Signal Parameters 1. The Theory of Estimation 2. Estimating Signal Parameters 3. Estimation of Signal Arrival Time 4. Estimation of Signal Arrival Time and Carrier Frequency Problems BibliographyIX. Detection of Signals with Unknown Parameters 1. Maximum-likelihood Detection 2. Detection of a Signal of Unknown Arrival Time 3. Detection of a Signal of Unknown Arrival Time and Carrier Frequency 4. Non-parametric Detection Problems BibliographyX. Signal Resolution 1. The Specification of Receivers 2. The Specification of Signals 3. The Detection of Signals in Clutter Problems BibliographyXI. Stochastic Signals 1. The Structure of the Receiver 2. The Performance of the Receiver 3. Summary Problems BibliographyAppendices A. Integral Transforms B. Characteristic Functions C. The Covariances of Fourier Coefficients of a Random Process D. The Circular Gaussian Density Function E. Solution of an integral Equation F. The Q-Function G. Error Probability for a Channel with Two Non-orthogonal Signals of Random PhasesAuthor indexSubject indexOther Titles in the Series