ABSTRACT
This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book describes mathematical concepts and results that are of importance in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. It provides a compressed summary of the broad field of linear algebra and matrix theory. The book examines basic concepts in numerical analysis: fixed and floating point representation of numbers, condition number, error propagation, interpolation, determining the roots of polynomials. It devotes to the study of matrix-valued random variables, and especially to the study and applications of the asymptotic distribution of the eigenvalues of matrices whose entries as normally distributed and whose dimensions grow without limit. The book explains the fundamentals of estimation and detection theories, respectively. It discusses the usage of Monte Carlo simulation techniques in solving various problems in the areas of signal processing, wireless communications, and bioinformatics.
