A First Course in Statistics for Signal Analysis: 0 - Softcover

Woyczynski, Wojbor A.

Softcover

ISBN 10: 0817643982 ISBN 13: 9780817643980

Publisher: Birkhäuser Boston, 2010

Synopsis

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. 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. This title features: 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; and, 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 this title

Review

“A First Course in Statistics for Signal Analysis is a small, dense, and inexpensive book that covers exactly what the title says: statistics for signal analysis. The book is targeted at classes ‘mainly populated by electrical, systems, computer and biomedical engineering juniors/seniors and graduate students...’ The book has much to recommend it. The author clearly understands the topics presented. The topics are covered in a rigorous manner, but not so rigorous as to be ostentatious. The sequence of topics is clearly targeted at the spectral properties of Gaussian stationary signals. Any student studying traditional communications and signal processing would benefit from an understanding of these topics...In summary, A First Course in Statistics for Signal Analysis has much in its favor. It is short, rigorous, mostly free of typos, and inexpensive...This book is most appropriate for a graduate class in signal analysis. It also could be used as a secondary text in a statistics, signal processing, or communications class.” —JASA

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.

Edition details

• Publisher: Birkhäuser Boston
• Publication date: 2010
• Language: English
• ISBN 10: 0817643982
• ISBN 13: 9780817643980
• Binding: Paperback
• Number of pages: 224