Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition: 2nd Edition (Hardback) book cover

Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition

2nd Edition

By Yi Xian Yang, Xin Xin Niu, Cheng Qing Xu

Chapman and Hall/CRC

440 pages | 1 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9781439818077
pub: 2010-03-24

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Drawing on the authors’ use of the Hadamard-related theory in several successful engineering projects, Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition explores the applications and dimensions of Hadamard matrices. This edition contains a new section on the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.

The first part of the book presents fast algorithms, updated constructions, existence results, and generalized forms for Walsh and Hadamard matrices. The second section smoothly transitions from two-dimensional cases to three-, four-, and six-dimensional Walsh and Hadamard matrices and transforms. In the third part, the authors discuss how the n-dimensional Hadamard matrices of order 2 are applied to feed-forward networking, stream ciphers, bent functions, and error correcting codes. They also cover the Boolean approach of Hadamard matrices. The final part provides examples of applications of Hadamard-related ideas to the design and analysis of one-dimensional sequences and two-dimensional arrays.

The theory and ideas of Hadamard matrices can be used in many areas of communications and information security. Through the research problems found in this book, readers can further explore the fascinating issues and applications of the theory of higher-dimensional Hadamard matrices.

Table of Contents

2-Dimensional Cases

Walsh Matrices

Hadamard Matrices

Lower-Dimensional Cases

3-Dimensional Hadamard Matrices

Multi-Dimensional Walsh–Hadamard Transforms

General Higher-Dimensional Cases

n-Dimensional Hadamard Matrices of Order 2

General Higher-Dimensional Hadamard Matrices

Applications to Signal Design and Analysis

Design and Analysis of Sequences

Design and Analysis of Arrays

Concluding Questions


About the Authors

Yi Xian Yang is director and professor of the Information Security Center (ISC) at Beijing University of Posts and Telecommunications (BUPT). He is also director of the State Engineering Lab of Backup for Disaster Recovery. Dr. Yang received his Ph.D. in electrical engineering and communication systems from BU.

Xin Xin Niu and Cheng Qing Xu, Beijing University of Posts and Telecommunications

Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Security / General
MATHEMATICS / Algebra / General
MATHEMATICS / Combinatorics