Network and Switching Theory

The rapid development of optical fiber transmission technology has created the possibility for constructing digital networks that are as ubiquitous as the current voice network but which can carry video, voice, and data in massive qlJantities. How and when such networks will evolve, who will pay for them, and what new applications will use them is anyone's guess. There appears to be no doubt, however, that the trend in telecommunication networks is toward far greater transmission speeds and toward greater heterogeneity in the requirements of different applications. This book treats some of the central problems involved in these networks of the future. First, how does one switch data at speeds orders of magnitude faster than that of existing networks? This problem has roots in both classical switching for telephony and in switching for packet networks. There are a number of new twists here, however. The first is that the high speeds necessitate the use of highly parallel processing and place a high premium on computational simplicity. The second is that the required data speeds and allowable delays of different applications differ by many orders of magnitude. The third is that it might be desirable to support both point to point applications and also applications involving broadcast from one source to a large set of destinations.

The first edition of this book was the first to cover in depth the mathematical theory of nonblocking multistage interconnecting networks, which is applicable to both communication and computer networks. This comprehensively updated new edition not only introduces the classical theory of the fundamental point-to-point network but also has a renewed emphasis on the latest multicast and multirate networks. The book can serve as either a one- or two-semester textbook for graduate students of information science, (electronic) communications, and applied mathematics. In addition, as all the relevant literature is organized and evaluated under one structured framework, the volume is an essential reference for researchers in those areas.

For telecommunications engineers and researchers looking to learn about broadband networks based on the ATM standard, no other book combines the analysis of ATM theory, architecture, and performance in a single volume.

Electrical Science Series: Recent Developments in Switching Theory covers the progress in the study of the switching theory. The book discusses the simplified proof of Post's theorem on completeness of logic primitives; the role of feedback in combinational switching circuits; and the systematic procedure for the design of Lupanov decoding networks. The text also describes the classical results on counting theorems and their application to the classification of switching functions under different notions of equivalence, including linear and affine equivalences. The development of abstract harmonic analysis of combinational switching functions; the theory of universal logic modules, methods of their construction, and upper bounds on the input terminals; and cellular logic are also considered. The book further tackles the systematic techniques for the realization of multi-output logic function by means of multirail cellular cascades; the programmable cellular logic; and the logical design of programmable arrays. Electrical engineers, electronics engineers, computer professionals, and student taking related courses will find the book invaluable.

This book presents the algebraic fundamentals of switching theory with applications to the field of telecommunications. In addition, applications are described in such areas as multi-processor interconnections, hardware sorting, fast Fourier transform, and convolution decoding. By linking switching theory to industrial practice throughout the book, readers benefit from exposure to more than a pure mathematical treatment. Algebraic Switching Theory and Broadband Applications is unique in its focus on developing an algebraic foundation for switching networks. This focus will be of great value to researchers and distinguishes it from others in the field. Key Features * More than 250 illustrations * Most relevant mathematical tools are all provided * Parallel attention to applications and implemental feasibility throughout * Some applications to parallel computing, multi-processor interconnection, and hardware sorting besides telecommunications * Topics follow a continuous flow, motivate one another, and pin down basic principles, useful techniques, and feasible designs * The book contains a large amount of original results accrued during 1986-99 that have not been previously published

The first edition of this book covered in depth the mathematical theory of nonblocking multistage interconnecting networks, which is applicable to both communication and computer networks. This comprehensively updated version puts more emphasis to the multicast and multirate networks which are under fast development recently due to their wide applications. This comprehensively updated new edition not only introduces the classical theory of the fundamental point-to-point network but also has a renewed emphasis on the latest multicast and multirate networks. The book can serve as either a one- or two-semester textbook for graduate students of information science, (electronic) communications, and applied mathematics. In addition, as all the relevant literature is organized and evaluated under one structured framework, the volume is an essential reference for researchers in those areas.