From the foreword by H. Vincent Poor
This IEEE Press Classic Reissue provides an advanced level, yet uniquely fundamental, treatment of the applications of Statistical Communication Theory to a vast spectrum of important physical problems. Included are general treatments of signal detection, estimation, and measurement, and related topics involving information transfer. Using the Bayesian statistical viewpoint, renowned author David Middleton employs statistical decision theory specifically tailored for the general tasks of signal processing. Dr. Middleton also provides a special focus on physical modeling of the canonical channel with real–world examples relating to radar, sonar, and general telecommunications applications. This book offers a detailed treatment and an array of problems and results covering an exceptionally broad range of technical subjects in the communications field, including among others:
- Specific applications of Fourier as well as single– and two–sided LaPlace transform methods
- Evaluation of covariance functions and intensity spectra
- Signal–to–noise ratios in nonlinear systems
- Sampling and interpolation
- Langevin, Fokker–Planck, and Boltzmann equations
- Amplitude, phase, and frequency modulation by noise and signals
- Detection probabilities
- Optimum estimators
- Minimum detectable signals
- Neyman–Pearson and Ideal Observer detection algorithms
- Multiple alternative detection algorithms and performance measures
Preface to the Second Reprint Edition (1996).
Preface to the First Reprint Edition (1987–1995).
Preface to the First Edition (1960).
AN INTRODUCTION TO STATISTICAL COMMUNICATION THEORY.
Operations on Ensembles.
Spectra, Covariance, and Correlation Functions.
Sampling, Interpolation, and Random Pulse Trains.
Signals and Noise in Nonlinear Systems.
An Introduction to Information Theory.
RANDOM NOISE PROCESSES.
The Normal Random Process: Gaussian Variates.
The Normal Random Process: Gaussian Functionals.
Processes Derived from the Normal.
The Equations of Langevin, Fokker–Planck, and Boltzmann.
Thermal, Shot, and Impulse Noise.
APPLICATIONS TO SPECIAL SYSTEMS.
Amplitude Modulation and Conversion.
Rectification of Amplitude–modulated Waves: Second–momentTheory.
Phase and Frequency Modulation.
Detection of Frequency–modulated Waves: Second–moment Theory.
Linear Measurements, Prediction, and Optimum Filtering.
Some Distribution Problems.
A STATISTICAL THEORY OF RECEPTION.
Reception as a Decision Problem.
Binary Detection Systems Minimizing Average Risk. General Theory.
Binary Detection Systems Minimizing Average Risk. Examples.
Extraction Systems Minimizing Average Risk;
Information Measures in Reception.
Generalizations and Extensions.
Appendix 1. Special Functions and Integrals.
Appendix 2. Solutions of Selected Integral Equations.
Supplementary References and Bibliography.
Selected Supplementary References (1996).
Name Index to Selected Supplementary References.
Glossary of Principal Symbols.