Hadamard Matrices and Their Applications

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9780691119212: Hadamard Matrices and Their Applications

In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use.


The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives.


The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation.


Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

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From the Inside Flap:


"The material on applications of Hadamard matrices is, in a word, excellent. Researchers and students in communications, cryptography, and experimental design will find this to be an excellent source, while research mathematicians will find the second part just as interesting. The book is insightful and rewarding. It is definitely a book that I will have on my most accessible shelf."--Charles Colbourn, Arizona State University


"This book will surely be a welcome contribution to the existing literature. The book can be used by researchers in the early stages of their work and as a source for a course in the subject."--Christos Koukouvinos, National Technical University of Athens


About the Author:

K. J. Horadam is Professor of Mathematics and leads the Information Theory and Security Research Group at RMIT University, Melbourne, Australia.

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K. J. Horadam
Editorial: Princeton University Press (2006)
ISBN 10: 069111921X ISBN 13: 9780691119212
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Descripción Princeton University Press, 2006. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691119212

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K. J. Horadam
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Descripción Princeton University Press, United States, 2006. Hardback. Estado de conservación: New. Language: English . Brand New Book. In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book s second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation.This identifies cocyclic generalized Hadamard matrices with particular stars in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions. Nº de ref. de la librería AAH9780691119212

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K. J. Horadam
Editorial: Princeton University Press, United States (2006)
ISBN 10: 069111921X ISBN 13: 9780691119212
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Descripción Princeton University Press, United States, 2006. Hardback. Estado de conservación: New. Language: English . Brand New Book. In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book s second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation.This identifies cocyclic generalized Hadamard matrices with particular stars in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions. Nº de ref. de la librería AAH9780691119212

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K. J. Horadam
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Descripción Princeton University Press, 2006. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX069111921X

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Descripción Princeton University Press, 2006. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780691119212

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Descripción Princeton University Press, 2006. Hardcover. Estado de conservación: New. Nº de ref. de la librería INGM9780691119212

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Descripción Princeton University Press, 2006. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 069111921X

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Descripción Princeton University Press, 2006. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780691119212

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K. J. Horadam
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Descripción Princeton University Press, United States, 2006. Hardback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book s second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation.This identifies cocyclic generalized Hadamard matrices with particular stars in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions. Nº de ref. de la librería BTE9780691119212

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Horadam, K. J.
Editorial: Princeton University Press (2017)
ISBN 10: 069111921X ISBN 13: 9780691119212
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Descripción Princeton University Press, 2017. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería P11069111921X

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