Bücher der Reihe Foundations and Trends (R) in Communications and Information Theory

Provides a comprehensive study of Bit-Interleaved Coded Modulation (BICM). In particular, the book reviews its information theoretic foundations, and its capacity, cutoff rate and error exponents. It further examines the error probability of BICM, focussing on the union bound and improved bounds to the error probability.

Presents a review of eleven of the fundamental issues in multi-user information theory. Each chapter is devoted to one particular issue and follows the same structure. Each chapter starts with a problem description and then describes solutions to the problem for general and specific cases.

Reviews the basic definitions of Majorization Theory and Matrix-Monotone Functions, describing their concepts clearly with many illustrative examples. In addition to this tutorial, new results are presented with respect to Schur-convex functions and regarding the properties of matrix-monotone functions.

Provides a tutorial introduction to the algebraic tools involved in the design of codes based on division algebras. The different design criteria involved are illustrated, including the constellation shaping, the information lossless property, the non-vanishing determinant property and the diversity multiplexing tradeoff.

Presents a unified mathematical framework for the design of point-to-point MIMO transceivers with channel state information at both sides of the link according to an arbitrary cost function as a measure of the system performance. In addition, the framework embraces the design of systems with given individual performance on the data streams.

Focuses on the performance evaluation of linear codes under optimal maximum-likelihood (ML) decoding. Though the ML decoding algorithm is prohibitively complex for most practical codes, their performance analysis under ML decoding allows to predict their performance without resorting to computer simulations.

Presents a comprehensive theoretical framework for SIR balancing, with and without noise. The theory considers the possible use of receive strategies (eg. interference filtering or channel assignment), which can be included in the model in an abstract way.

Derives in a tutorial manner the fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight.

Provides an overview of algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field are illustrated by examples and by the use of computer algebra freeware in order to make it more accessible to a large audience.

Explores the applications of information theory concepts in statistics, in the finite alphabet setting. The topics covered include large deviations, hypothesis testing, maximum likelihood estimation in exponential families, analysis of contingency tables, and iterative algorithms with an "information geometry" background.

Presents a comprehensive, yet compact, survey, emphasizing the mathematical aspects of single-user multiple-antenna theory. Wireless communication system design was until recently thought to have been limited in practice by time and bandwidth.

A tutorial on random matrices which provides an overview of the theory and brings together in one source the most significant results recently obtained. Furthermore, the application of random matrix theory to the fundamental limits of wireless communication channels is described in depth.