This text describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. It offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. The book presents the necessary prerequisites and includes examples, homework problems, and references in each chapter. Teaching materials are accessible on the book's webpage and a solutions manual is available upon qualifying course adoption.
Erchin Serpedin is a professor in the Department of Electrical Engineering at Texas A&M University. Dr. Serpedin has been an associate editor of several journals and has received numerous honors, including a National Science Foundation CAREER Award, a National Research Council Fellow Award, and an American Society for Engineering Education Fellow Award. His research focuses on statistical signal processing, wireless communications, and bioinformatics.
Thomas Chen is a professor of networks at Swansea University. Dr. Chen is technical editor for IEEE Press, editor-in-chief of IEEE Network, senior editor of IEEE Communications Magazine, and associate editor of International Journal of Security and Networks, Journal on Security and Communication Networks, and International Journal of Digital Crime and Forensics. His research areas encompass web filtering, web classification, traffic classification, smart grid security, privacy, cyber crime, and malware.
Dinesh Rajan is an associate professor in the Department of Electrical Engineering at Southern Methodist University. An IEEE senior member, Dr. Rajan has received several awards, including a National Science Foundation CAREER Award. His research interests include communications theory, wireless networks, information theory, and computational imaging.
Introduction
Signal Processing Transforms
, Serhan Yarkan and Khalid A. QaraqeLinear Algebra
, Fatemeh Hamidi Sepehr and Erchin SerpedinElements of Galois Fields
, Tolga DumanNumerical Analysis
, Vivek SarinCombinatorics
, Walter D. WallisProbability, Random Variables, and Stochastic Processes
, Dinesh RajanRandom Matrix Theory
, Romain Couillet and Merouane DebbahLarge Deviations
, Hongbin LiFundamentals of Estimation Theory
, Yik-Chung WuFundamentals of Detection Theory
, Venugopal V. VeeravalliMonte Carlo Methods for Statistical Signal Processing
, Xiaodong WangFactor Graphs and Message Passing Algorithms
, Ahmad Aitzaz, Erchin Serpedin, and Khalid A. QaraqeUnconstrained and Constrained Optimization Problems
, Shuguang Cui, Man-Cho Anthony So, and Rui ZhangLinear Programming and Mixed Integer Programming
, Bogdan DumitrescuMajorization Theory and Applications
, Jiaheng Wang and Daniel PalomarQueueing Theory
, Thomas ChenNetwork Optimization Techniques
, Michal PioroGame Theory
, Erik G. Larsson and Eduard JorswieckA Short Course on Frame Theory
, Veniamin I. Morgenshtern and Helmut BölcskeiIndex
Exercises and References appear at the end of each chapter.