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Mathematical foundations for signal processing, communications, and networking

Author: Erchin Serpedin; Thomas M Chen; Dinesh Rajan
Publisher: Boca Raton : CRC Press, ©2012.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear
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Document Type: Book
All Authors / Contributors: Erchin Serpedin; Thomas M Chen; Dinesh Rajan
ISBN: 9781439855133 1439855137
OCLC Number: 654316706
Description: xl, 795 pages : illustrations ; 24 cm
Contents: List of figures --
List of tables --
Preface --
Editors --
List of contributors --
List of acronyms --
Notations and symbols --
1. Introduction --
2. Signal processing transforms / Serhan Yarkan and Khalid A. Qaraqe --
3. Linear algebra / Fatemeh Hamidi Sepehr and Erchin Serpedin --
4. Elements of galois fields / Tolga Duman --
5. Numerical analysis / Vivek Sarin --
6. Combinatrics / Walter D. Wallis --
7. Probabilty, random variables, and stochastic processes / Dinesh Rajan --
8. Random matrix theory / Romain Couillet and Merouane Debbah --
9. Large deviations / Hongbin Li --
10. Fundamentals of estimation theory / Yik-Chung Wu --
11. Fundamentals of detection theory / Venugopal V. Veeravalli --
12. Monte carlo methods for statistical signal processing / Xiaodong Wang --
13. Factor graphs and message passing algorithms / Aitzaz Ahmad, Erchin Serpedin, and Khalid A. Qaraqe --
14. Unconstrained and constrained optimization problems / Shuguang Cui, Anthony Man-Cho So, and Rui Zhang --
15. Linear programming and mixed integer programming / Bogdan Dumitrescu --
16. Majorization theory and applications / Jiaheng Wang and Daniel Palomar --
17. Queueing theory / Thomas Chen --
18. Network optimization techniques / Michal Pioro --
19. Game theory / Erik G. Larsson and Eduard Jorswieck --
20. A short course on frame theory / Veniamin I. Morgenshtern and Helmut Bolcskei --
Index.
Responsibility: edited by Erchin Serpedin, Thomas Chen, Dinesh Rajan.

Abstract:

"Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and pointers to further readings for additional topics and applications. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas"--

"Preface The rationale behind this textbook is to provide all the necessary mathematical background to facilitate the training and education of students and specialists working in the interrelated elds of signal processing, telecommunications and networking. Our intention was to create a self-contained textbook that contains both the fundamental results in the areas of signal processing, telecommunications and networking as well as the more advanced results and recent research trends in these areas. In our collective academic experience, students often begin their graduate education with widely varying undergraduate backgrounds in terms of needed subjects such as probability theory, stochastic processes, statistics, linear algebra, calculus, optimization techniques, game theory and queuing theory. While some students are well prepared for advanced courses in signal processing, telecommunications and networking, others are not as well prepared and must make extra remedial e orts. However, obtaining the necessary mathematical background is often difficult because these topics are usually dispersed across a large number of courses, where the emphasis is frequently put on topics di erent than signal processing, telecommunications and networking. We hope that this textbook will serve as a reference for graduate level students to reach a common standard level of preparedness before undertaking more advanced specialized studies. We believe that this book will be also useful for researchers, engineers, and scientists working in related areas in electrical engineering, computer science, bioinformatics and system biology"--

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