Probability and Random Processes

Probability and Random Processes, 1st Edition

With Applications to Signal Processing and Communications

Probability and Random Processes, 1st Edition,Scott Miller,Donald Childers,ISBN9780121726515


Academic Press

9780121726515 New edition



235 X 191

The authors have focused on creating a more level presentation and have developed more pertinent applications to signal processing and communications, clearly the two areas of most interest to students and instructors in this course.

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Key Features

* Exceptional exposition and numerous worked out problems make the book extremely readable and accessible
* The authors connect the applications discussed in class to the textbook
* The new edition contains more real world signal processing and communications applications
* Includes an entire chapter devoted to simulation techniques


Miller and Childers have focused on creating a clear presentation of foundational concepts with specific applications to signal processing and communications, clearly the two areas of most interest to students and instructors in this course. It is aimed at graduate students as well as practicing engineers, and includes unique chapters on narrowband random processes and simulation techniques.

The appendices provide a refresher in such areas as linear algebra, set theory, random variables, and more. Probability and Random Processes also includes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and other fields.


Graduate-level courses in the topic with secondary interest to professionals.

Scott Miller

Affiliations and Expertise

Texas A & M University

Donald Childers

Affiliations and Expertise

University of Florida, Gainesville

Probability and Random Processes, 1st Edition

1. Introduction
2. Introduction to Probability Theory
3. Random Variables, Distributions and Density Functions
4. Operations on a Single Random Variable
5. Pairs of Random Variables
6. Multiple Random Variables
7. Random Sequences and Series
8. Random Processes
9. Markov Processes
10. Power Spectral Density
11. Random Processes in Linear Systems
12. Simulation Techniques
Appendix A
Appendix B
Appendix C
Appendix D
Appendix E
Appendix F

Quotes and reviews

"...primarily focused toward undergraduate students in areas of electrical and computer engineering...the book is very well written and wasy to read and follow."
-Ali Esmaili, in TECHNOMETRICS, VOL. 47, 2005

"...very well written...I think this is a highly valuable textbook that is very recommendable for students, researchers as well as practitioners interested in signal processing and communications."
- Stefan Reh, Carnegie Mellon University

"...it is well written, providing the intended readership with tools and methods to study and solve problems concerning random signals and systems."
-Evelyn Buckwar, Zentralblatt MATH Berlin
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