"Stochastic Methods & their Applications to Communications" presents a valuable approach to the modelling, synthesis and numerical simulation of random processes with applications in communications and related fields. The authors provide a detailed account of random processes from an engineering point of view and illustrate the concepts with examples taken from the communications area. The discussions mainly focus on the analysis and synthesis of Markov models of random processes as applied to modelling such phenomena as interference and fading in communications.Encompassing both theory and practice, this original text provides a unified approach to the analysis and generation of continuous, impulsive and mixed random processes based on the Fokker-Planck equation for Markov processes. This book: presents the cumulated analysis of Markov processes; offers a SDE (Stochastic Differential Equations) approach to the generation of random processes with specified characteristics; includes the modelling of communication channels and interfer ences using SDE; and, features new results and techniques for the of solution of the generalized Fokker-Planck equation.
It is essential reading for researchers, engineers, and graduate and upper year undergraduate students in the field of communications, signal processing, control, physics and other areas of science.
1. Introduction. 2. Random Variables and Their Description. 3. Random Processes. 4. Advanced Topics in Random Processes. 5. Markov Processes and Their Description. 6. Markov Processes with Random Structures. 7. Synthesis of Stochastic Differential Equations. 8. Applications. Index.