دانلود کتاب An innovation approach to random fields : application of white noise theory

This text/reference book aims to present a comprehensive introduction to the theory of random processes with emphasis on its practical applications to signals and systems. The author shows how to analyze random processes - the signals and noise of a communication system. He also shows how to achieve results in their use and control by drawing on probabilistic concepts and the statistical theory of signal processing. This second edition adds over 50 worked exercises for students and professionals, as well as an additional 100 standard exercises. Recent advances in random process theory and application have been added A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic:namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inpartic.  Read more... Preface; Contents; 1. Introduction; 2. White Noise; 3. Poisson Noise; 4. Random Fields; 5 Gaussian Random Fields; 6 Some Non-Gaussian Random Fields; 7 Variational Calculus For Random Fields; 8 Innovation Approach; 9 Reversibility; 10 Applications; Appendix; Epilogue; List of Notations; Bibliography; Index