Probabilities, signals, and noise
Abstract
Probabilistic techniques are developed to model the behavior of signals and associated noise during signal propagation through various media. The material is presented in textbook form, with exercises provided. Probability spaces are defined for random signals, along with a review of the underlying mathematical principles. Random vectors and random variables are explored in terms of their general properties and techniques for repartitioning them. Deterministic signals are defined, and attention is devoted to complex spectra, linear filtering, and deterministic signal sampling. Consideration is directed toward random signals, their stationarity, and to random signals with finite average power. Weakly stationary random signals are analyzed, together with elements of a theory of measurement that includes measureable spaces, functions, and positive measurements.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1983
 Bibcode:
 1983STIA...8415292D
 Keywords:

 Information Theory;
 Probability Theory;
 Random Signals;
 Signal To Noise Ratios;
 Signal Transmission;
 Correlation;
 Covariance;
 Linear Filters;
 Measure And Integration;
 Sampling;
 Vectors (Mathematics);
 Electronics and Electrical Engineering