A First Course in Statistics for Signal Analysis

Wojbor A. Woyczyński is a Professor in the Department of Statistics and the Director of the Center for Stochastic and Chaotic Processes in Science and Technology at Case Western Reserve University. His research interests include: probability theory, Lévy stochastic processes, random fields and their statistics, nonlinear, stochastic and fractional evolution equations, harmonic and functional analysis, random graphs, statistical physics and hydrodynamics, chaotic dynamics, applications to chemistry, physics, operations research, financial mathematics, medicine, oceanography, and atmospheric physics. Professor Woyczyński is the author of 11 books and many papers in a wide range of international research journals.

Foreword to the Second Edition.- Introduction.- Notation.- Description of Signals.- Spectral Representation of Deterministic Signals: Fourier Series and Transforms.- Random Quantities and Random Vectors.- Stationary Signals.- Power Spectra of Random Signals.- Transmission of Stationary Signals through Linear Systems.- Optimization of Signal-to-Noise Ratio in Linear Systems.- Gaussian Signals, Covariance Matrices, and Sample Path Properties.- Spectral Representation of Discrete-Time Stationary Signals and Their Computer Simulations.- Solutions to Selected Exercises.- Bibliographical Comments.- Index.