A First Course in Statistics for Signal Analysis

Authors: Woyczynski, Wojbor

  • Many redrawn figures in the new edition to better illustrate the scale of the quantities represented
  • Revised notation and terminology to better reflect the concepts under discussion
  • Considerably expanded sections with new examples, illustrations, and commentary
  • Addition of more applied exercises
  • A large appendix containing solutions of selected problems
see more benefits

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-8176-8101-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-8176-8100-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

'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 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, [the work] has much in its favor...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 (Review of the First Edition)

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 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;

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 and end-of-chapter problems and exercises.

New to the Second Edition:

Revised notation and terminology to better reflect the concepts under discussion;

Many redrawn figures to better illustrate the scale of the quantities represented;

Considerably expanded sections with new examples, illustrations, and commentary;

Addition of more applied exercises;

A large appendix containing solutions of selected problems from each of the nine chapters.

Developed by the author over the course of many years of classroom use, A First Course in Statistics for Signal Analysis, Second Edition 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 authors

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.

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 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, [the work] has much in its favor…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 (Review of the First Edition)

From the reviews of the second edition:

“This is nicely written self-contained book and it is a good candidate for adoption as a textbook for upper-level undergraduate and even for a graduate course for engineering and physical sciences students. … One of the nicest features of this book is the bibliographical comments given before the index, providing comprehensive developments of the material in chronological order. In summary, it is well-written and, most importantly, a well-priced book. I have no hesitation in recommending it as a textbook for the targeted course and audience.” (Technometrics, Vol. 53 (4), November, 2011)


Table of contents (9 chapters)

  • Description of Signals

    Woyczyński, Wojbor A.

    Pages 1-19

  • Spectral Representation of Deterministic Signals: Fourier Series and Transforms

    Woyczyński, Wojbor A.

    Pages 21-49

  • Random Quantities and Random Vectors

    Woyczyński, Wojbor A.

    Pages 51-104

  • Stationary Signals

    Woyczyński, Wojbor A.

    Pages 105-125

  • Power Spectra of Stationary Signals

    Woyczyński, Wojbor A.

    Pages 127-142

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-8176-8101-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-8176-8100-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
A First Course in Statistics for Signal Analysis
Authors
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8101-2
DOI
10.1007/978-0-8176-8101-2
Hardcover ISBN
978-0-8176-8100-5
Edition Number
2
Number of Pages
XVI, 261
Number of Illustrations and Tables
76 b/w illustrations
Topics