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


Edited ByErchin Serpedin, Thomas Chen, Dinesh Rajan

chapter 2|29 pages

Signal Processing Transforms

BySerhan Yarkan, Khalid A. Qaraqe

chapter 3|58 pages

Linear Algebra

ByFatemeh Hamidi Sepehr, Erchin Serpedin

chapter 4|23 pages

Elements of Galois Fields

ByTolga M. Duman

chapter 5|42 pages

Numerical Analysis

ByVivek Sarin

chapter 6|45 pages


ByWalter D. Wallis

chapter 7|40 pages

Probability, Random Variables, and Stochastic Processes

ByDinesh Rajan

chapter 8|49 pages

Random Matrix Theory

ByRomain Couillet, Merouane Debbah

chapter 9|21 pages

Large Deviations

ByHongbin Li

chapter 10|51 pages

Fundamentals of Estimation Theory

ByYik-Chung Wu

chapter 11|42 pages

Fundamentals of Detection Theory

ByVenugopal V. Veeravalli

chapter 12|31 pages

Monte Carlo Methods for Statistical Signal Processing

ByXiaodong Wang

chapter 13|44 pages

Factor Graphs and Message Passing Algorithms

ByAitzaz Ahmad, Erchin Serpedin, Khalid A. Qaraqe

chapter 14|31 pages

Unconstrained and Constrained Optimization Problems

ByShuguang Cui, Anthony Man-Cho So, Rui Zhang

chapter 15|42 pages

Linear Programming and Mixed Integer Programming

ByBogdan Dumitrescu

chapter 16|38 pages

Majorization Theory and Applications

ByJiaheng Wang, Daniel Palomar

chapter 17|28 pages

Queueing Theory

ByThomas Chen

chapter 18|64 pages

Network Optimization Techniques

ByMichał Pióro

chapter 19|45 pages

Game Theory

ByErik G. Larsson, Eduard Jorswiec

chapter 20|53 pages

A Short Course on Frame Theory

ByVeniamin I. Morgenshtern, Helmut Bölcskei