A First Course in Statistics for Signal Analysis

Authors: Woyczynski, Wojbor

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  • ISBN 978-0-8176-4516-8
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About this Textbook

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.

Reviews

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


Table of contents (4 chapters)

  • Description of Signals

    Pages 1-15

  • Spectral Representation of Deterministic Signals: Fourier Series and Transforms

    Pages 17-46

  • Transmission of Stationary Signals through Linear Systems

    Pages 127-146

  • Gaussian Signals, Correlation Matrices, and Sample Path Properties

    Pages 159-174

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-0-8176-4516-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
A First Course in Statistics for Signal Analysis
Authors
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4516-8
DOI
10.1007/978-0-8176-4516-8
Edition Number
1
Number of Pages
XIV, 208
Number of Illustrations and Tables
65 b/w illustrations
Topics