Theory and applications of higher dimension Hadamard matrices
By: Yi Xian Yang.
Contributors: Niu, Xin Xin.; Xu, Cheng Qing.
Edition: 2nd ed. / Xin Xin Niu, Cheng Qing Xu.
Publisher: Chapman & Hall/CRC
Published: March 24, 2010
Place of publication: Science Press, Beijing, China; Boca Raton, Florida, USA; London, UK
Language: eng
Format: Paperback; Hardcover
Number of pages: 440
ISBN-13: 9781439818077
Copyright date: ©2010
Subjects: Hadamard matrices
Description: 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.
Notes: Includes bibliographical references and index.
MSC 05B20.
Table of contents: title: - Walsh matrices --; title: - Hadamard matrices --; title: - 3-dimensional Hadamard matrices --; title: - Multi-dimensional Walsh-Hadamard transforms --; title: - n-dimensional Hadamard matrices of order 2 --; title: - General higher-dimensional Hadamard Matrices --; title: - Design and analysis of sequences --; title: - Design and analysis arrays.; title: - bibliography; title: - index