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 readings for additional study.

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.

chapter 1|4 pages

Introduction

chapter 3|58 pages

Linear Algebra

chapter 4|23 pages

Elements of Galois Fields

chapter 5|42 pages

Numerical Analysis

chapter 6|45 pages

Combinatorics

chapter 8|49 pages

Random Matrix Theory

chapter 9|21 pages

Large Deviations

chapter 10|51 pages

Fundamentals of Estimation Theory

chapter 17|28 pages

Queueing Theory

chapter 18|64 pages

Network Optimization Techniques

chapter 19|45 pages

Game Theory