A First Course in Statistics for Signal Analysis - Softcover

Wojbor A. Woyczynski

Softcover

ISBN 10: 0817643982 ISBN 13: 9780817643980

Publisher: Birkhäuser Boston, 2006

Synopsis

This self-contained, deliberately compact, and user-friendly book is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation.

Developed by the author over the course of several years of classroom use, this book may be used by junior/senior undergraduates or graduate students in electrical, systems, computer, and biomedical engineering, as well as the physical sciences.

About this title

From the Back Cover

This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation.

Topics and Features:

*Fourier series and transforms—fundamentally important in random signal analysis and processing—are developed from scratch, emphasizing the time-domain vs. frequency-domain duality.

*Basic concepts of probability theory, laws of large numbers, the stability of fluctuations law (central limit theorem), and statistical parametric inference procedures are presented so that no prior knowledge of probability and statistics is required; the only prerequisite is a basic two–three semester calculus sequence.

*Introduction of the fundamental concept of a stationary random signal and its autocorrelation structure.

*Power spectra of stationary signals and transmission analysis.

*Filter design with optimal signal-to-noise ratio.

*Computer simulation algorithms of stationary random signals with a given power spectrum density.

*Complementary bibliography for readers who wish to pursue the study of random signals in greater depth.

*Many diverse examples as well as end-of-chapter problems and exercises.

Developed by the author over the course of several years of classroom use, A First Course in Statistics for Signal Analysis may be used by junior/senior undergraduates or graduate students in electrical, systems, computer, and biomedical engineering, as well as the physical sciences. The work is also an excellent resource of educational and training material for scientists and engineers working in research laboratories.

About the Author

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.

Edition details

• Publisher: Birkhäuser Boston
• Publication date: 2006
• Language: English
• ISBN 10: 0817643982
• ISBN 13: 9780817643980
• Binding: Paperback
• Edition number: 1
• Number of pages: 206