Hadamard Matrices and Their Applications

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Publisher : Princeton University Press
ISBN 13 : 1400842905
Total Pages : 280 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Hadamard Matrices and Their Applications by : K. J. Horadam

Download or read book Hadamard Matrices and Their Applications written by K. J. Horadam and published by Princeton University Press. This book was released on 2012-01-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hadamard Matrix Analysis and Synthesis

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461563135
Total Pages : 120 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Hadamard Matrix Analysis and Synthesis by : Rao K. Yarlagadda

Download or read book Hadamard Matrix Analysis and Synthesis written by Rao K. Yarlagadda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform. The 2-dimensional Hadamard transform is discussed in terms of a 1- dimensional transform. The applications presented touch on statistics, error correction coding theory, communications signaling, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform. Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.

Hadamard Matrices and Their Applications

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Publisher :
ISBN 13 : 9783662192719
Total Pages : 238 pages
Book Rating : 4.1/5 (927 download)

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Book Synopsis Hadamard Matrices and Their Applications by : S. S. Agaian

Download or read book Hadamard Matrices and Their Applications written by S. S. Agaian and published by . This book was released on 2014-01-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439818077
Total Pages : 0 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition by : Yi Xian Yang

Download or read book Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition written by Yi Xian Yang and published by Chapman and Hall/CRC. This book was released on 2010-03-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hadamard Matrices and Their Applications

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Author :
Publisher : Springer
ISBN 13 : 354039740X
Total Pages : 231 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Hadamard Matrices and Their Applications by : S.S. Agaian

Download or read book Hadamard Matrices and Their Applications written by S.S. Agaian and published by Springer. This book was released on 2006-12-07 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hadamard Matrices

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 111952024X
Total Pages : 352 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Hadamard Matrices by : Jennifer Seberry

Download or read book Hadamard Matrices written by Jennifer Seberry and published by John Wiley & Sons. This book was released on 2020-08-25 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up-to-date resource on Hadamard matrices Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including: Gauss sums, Jacobi sums and relative Gauss sums Cyclotomic numbers Plug-in matrices, arrays, sequences and M-structure Galois rings and Menon Hadamard differences sets Paley difference sets and Paley type partial difference sets Symmetric Hadamard matrices, skew Hadamard matrices and amicable Hadamard matrices A discussion of asymptotic existence of Hadamard matrices Maximal determinant matrices, embeddability of Hadamard matrices and growth problem for Hadamard matrices The book can be used as a textbook for graduate courses in combinatorics, or as a reference for researchers studying Hadamard matrices. Utilized in the fields of signal processing and design experiments, Hadamard matrices have been used for 150 years, and remain practical today. Hadamard Matrices combines a thorough discussion of the basic concepts underlying the subject matter with more advanced applications that will be of interest to experts in the area.

Hadamard Transforms

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Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9780819486479
Total Pages : 0 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Hadamard Transforms by : S. S. Agaian

Download or read book Hadamard Transforms written by S. S. Agaian and published by SPIE-International Society for Optical Engineering. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hadamard matrix and Hadamard transform are fundamental problem-solving tools in a wide spectrum of scientific disciplines and technologies, such as communication systems, signal and image processing (signal representation, coding, filtering, recognition, and watermarking), digital logic (Boolean function analysis and synthesis), and fault-tolerant system design. Hadamard Transforms intends to bring together different topics concerning current developments in Hadamard matrices, transforms, and their applications. Each chapter begins with the basics of the theory, progresses to more advanced topics, and then discusses cutting-edge implementation techniques. The book covers a wide range of problems related to these matrices/transforms, formulates open questions, and points the way to potential advancements. Hadamard Transforms is suitable for a wide variety of audiences, including graduate students in electrical and computer engineering, mathematics, or computer science. Readers are not presumed to have a sophisticated mathematical background, but some mathematical background is helpful. This book will prepare readers for further exploration and will support aspiring researchers in the field.

Algebraic Design Theory and Hadamard Matrices

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Publisher : Springer
ISBN 13 : 331917729X
Total Pages : 259 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Algebraic Design Theory and Hadamard Matrices by : Charles J. Colbourn

Download or read book Algebraic Design Theory and Hadamard Matrices written by Charles J. Colbourn and published by Springer. This book was released on 2015-09-03 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions.​ ​The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

Contemporary Design Theory

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Publisher : John Wiley & Sons
ISBN 13 : 9780471531418
Total Pages : 660 pages
Book Rating : 4.5/5 (314 download)

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Book Synopsis Contemporary Design Theory by : Jeffrey H. Dinitz

Download or read book Contemporary Design Theory written by Jeffrey H. Dinitz and published by John Wiley & Sons. This book was released on 1992-08-04 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.

Theory and Applications of Higher-dimensional Hadamard Matrices

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory and Applications of Higher-dimensional Hadamard Matrices by : Yi Xian Yang

Download or read book Theory and Applications of Higher-dimensional Hadamard Matrices written by Yi Xian Yang and published by . This book was released on 2001 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on higher dimensional Hadamard matrices and their applications in telecommunications and information security. It is divided into three parts according to the dimensions of the Hadamard matrices treated.

Matrix Theory and Applications

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821801546
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Matrix Theory and Applications by : Charles R. Johnson

Download or read book Matrix Theory and Applications written by Charles R. Johnson and published by American Mathematical Soc.. This book was released on 1990 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the lecture notes prepared for the AMS Short Course on Matrix Theory and Applications, held in Phoenix in January, 1989. Matrix theory continues to enjoy a renaissance that has accelerated in the past decade, in part because of stimulation from a variety of applications and considerable interplay with other parts of mathematics. In addition, the great increase in the number and vitality of specialists in the field has dispelled the popular misconception that the subject has been fully researched.

Algebraic Design Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844962
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Design Theory by : Warwick De Launey

Download or read book Algebraic Design Theory written by Warwick De Launey and published by American Mathematical Soc.. This book was released on 2011 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete problems, with the Hadamard conjecture being a prime example. It has become clear that many of these problems are essentially algebraic in nature. This book provides a unified vision of the algebraic themes which have developed so far in design theory. These include the applications in design theory of matrix algebra, the automorphism group and its regular subgroups, the composition of smaller designs to make larger designs, and the connection between designs with regular group actions and solutions to group ring equations. Everything is explained at an elementary level in terms of orthogonality sets and pairwise combinatorial designs--new and simple combinatorial notions which cover many of the commonly studied designs. Particular attention is paid to how the main themes apply in the important new context of cocyclic development. Indeed, this book contains a comprehensive account of cocyclic Hadamard matrices. The book was written to inspire researchers, ranging from the expert to the beginning student, in algebra or design theory, to investigate the fundamental algebraic problems posed by combinatorial design theory.

Orthogonal Arrays

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Publisher : Springer Science & Business Media
ISBN 13 : 1461214785
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Orthogonal Arrays by : A.S. Hedayat

Download or read book Orthogonal Arrays written by A.S. Hedayat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book useful.

Theory and Applications of Higher-Dimensional Hadamard Matrices

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Publisher : Springer
ISBN 13 : 9780792370611
Total Pages : 320 pages
Book Rating : 4.3/5 (76 download)

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Book Synopsis Theory and Applications of Higher-Dimensional Hadamard Matrices by : Yang Yi Xian

Download or read book Theory and Applications of Higher-Dimensional Hadamard Matrices written by Yang Yi Xian and published by Springer. This book was released on 2002-02-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on higher dimensional Hadamard matrices and their applications in telecommunications and information security. It is divided into three parts according to the dimensions of the Hadamard matrices treated.

Totally Nonnegative Matrices

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Publisher : Princeton University Press
ISBN 13 : 1400839017
Total Pages : 265 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Totally Nonnegative Matrices by : Shaun M. Fallat

Download or read book Totally Nonnegative Matrices written by Shaun M. Fallat and published by Princeton University Press. This book was released on 2011-04-11 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.

Matrices

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Publisher :
ISBN 13 : 9781383030969
Total Pages : 0 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Matrices by : Stephen Barnett

Download or read book Matrices written by Stephen Barnett and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any `tool kit' of applied mathematics. This wide-ranging textbook provides a clearly written and up-to-date account of these methods, suitable for both undergraduates and more advanced students. The aim is to provide a down-to-earth approach with results illustrated by many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. In addition, the book contains numerous exercises, together with answers, making it ideal for students in any field where matrices are used.

Matrix Differential Calculus with Applications in Statistics and Econometrics

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Publisher : John Wiley & Sons
ISBN 13 : 1119541166
Total Pages : 633 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Matrix Differential Calculus with Applications in Statistics and Econometrics by : Jan R. Magnus

Download or read book Matrix Differential Calculus with Applications in Statistics and Econometrics written by Jan R. Magnus and published by John Wiley & Sons. This book was released on 2019-03-15 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it. Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econometrics. It is still relevant and used today in a wide range of subjects such as the biosciences and psychology. Matrix Differential Calculus with Applications in Statistics and Econometrics, Third Edition contains all of the essentials of multivariable calculus with an emphasis on the use of differentials. It starts by presenting a concise, yet thorough overview of matrix algebra, then goes on to develop the theory of differentials. The rest of the text combines the theory and application of matrix differential calculus, providing the practitioner and researcher with both a quick review and a detailed reference. Fulfills the need for an updated and unified treatment of matrix differential calculus Contains many new examples and exercises based on questions asked of the author over the years Covers new developments in field and features new applications Written by a leading expert and pioneer of the theory Part of the Wiley Series in Probability and Statistics Matrix Differential Calculus With Applications in Statistics and Econometrics Third Edition is an ideal text for graduate students and academics studying the subject, as well as for postgraduates and specialists working in biosciences and psychology.