Author: Shuo-Yen Robert Li
Publisher: Academic Press
ISBN:
Category : Computers
Languages : en
Pages : 434
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Book Description
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
Author: Frank Hwang
Publisher: World Scientific
ISBN: 9789812560421
Category : Mathematics
Languages : en
Pages : 200
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Book Description
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.
Author: Frank Kwang-ming Hwang
Publisher: World Scientific Publishing Company
ISBN: 9813106425
Category : Mathematics
Languages : en
Pages : 196
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Book Description
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.
Author: Raymond W. Yeung
Publisher: Springer Science & Business Media
ISBN: 0387792333
Category : Computers
Languages : en
Pages : 592
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Book Description
This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as coding theory, networking, switching, wireless c- munications,distributeddatastorage,cryptography,andoptimizationtheory. While new applications of network coding keep emerging, the fundamental - sults that lay the foundation of the subject are more or less mature. One of the main goals of this book therefore is to present these results in a unifying and coherent manner. While the previous book focused only on information theory for discrete random variables, the current book contains two new chapters on information theory for continuous random variables, namely the chapter on di?erential entropy and the chapter on continuous-valued channels. With these topics included, the book becomes more comprehensive and is more suitable to be used as a textbook for a course in an electrical engineering department.
Author: Allen B. Tucker
Publisher: CRC Press
ISBN: 0203494458
Category : Computers
Languages : en
Pages : 2742
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Book Description
When you think about how far and fast computer science has progressed in recent years, it's not hard to conclude that a seven-year old handbook may fall a little short of the kind of reference today's computer scientists, software engineers, and IT professionals need. With a broadened scope, more emphasis on applied computing, and more than 70 chap
Author: Wojciech Kabacinski
Publisher: Springer Science & Business Media
ISBN: 9780387254319
Category : Computers
Languages : en
Pages : 292
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Book Description
Surveys recent advances in combinatorial properties of switching fabrics Written by an expert in the area of switching fabrics
Author: Ali N. Akansu
Publisher: Academic Press
ISBN: 0120471418
Category : Computers
Languages : en
Pages : 518
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Book Description
The uniqueness of this book is that it covers such important aspects of modern signal processing as block transforms from subband filter banks and wavelet transforms from a common unifying standpoint, thus demonstrating the commonality among these decomposition techniques. In addition, it covers such "hot" areas as signal compression and coding, including particular decomposition techniques and tables listing coefficients of subband and wavelet filters and other important properties. The field of this book (Electrical Engineering/Computer Science) is currently booming, which is, of course, evident from the sales of the previous edition. Since the first edition came out there has been much development, especially as far as the applications. Thus, the second edition addresses new developments in applications-related chapters, especially in chapter 4 "Filterbrook Families: Design and Performance," which is greatly expanded. Unified and coherent treatment of orthogonal transforms, subbands, and wavelets Coverage of emerging applications of orthogonal transforms in digital communications and multimedia Duality between analysis and synthesis filter banks for spectral decomposition and synthesis and analysis transmultiplexer structures Time-frequency focus on orthogonal decomposition techniques with applications to FDMA, TDMA, and CDMA
Author: J.S.R. Chisholm
Publisher: Springer Science & Business Media
ISBN: 9400947283
Category : Mathematics
Languages : en
Pages : 589
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Book Description
William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author: Nirdosh Bhatnagar
Publisher: CRC Press
ISBN: 1351379127
Category : Computers
Languages : en
Pages : 725
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Book Description
This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
