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Sunday, August 9, 2020 | History

5 edition of Theory and Applications of Higher-Dimensional Hadamard Matrices (Combinatorics and Computer Science) found in the catalog.

Theory and Applications of Higher-Dimensional Hadamard Matrices (Combinatorics and Computer Science)

by Yang Yi Xian

  • 94 Want to read
  • 3 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Combinatorics & graph theory,
  • Linear algebra,
  • Matrices,
  • Combinatorics,
  • Mathematics,
  • Science/Mathematics,
  • Applied,
  • General,
  • Computers-General,
  • Mathematics / Algebra / Linear,
  • Mathematics / Matrices,
  • Mathematics-Applied,
  • Discrete Mathematics,
  • Hadamard matrices

  • The Physical Object
    FormatHardcover
    Number of Pages332
    ID Numbers
    Open LibraryOL7809477M
    ISBN 100792370619
    ISBN 109780792370611

    Higher Dimensional Orthogonal Designs and Applications Article (PDF Available) in IEEE Transactions on Information Theory 27(6) - December .   Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered Price: $

    From a review: MATHEMATICAL REVIEWS "The book is well written and nice to read. It contains a wealth of concrete examples, many exercises, some research problems and a generally quite thorough discussion of the available literature. "This book is a marvelous and timely contribution to a rapidly developing field, with new oflshoots into physics, engineering and algebra Overall, the text gives an excellent introduction to Hadamard matrices, a masterful short survey of applications the field of communications, and a wild ride through these new algebraic tools and new combinatorial objects of study being .

      Rent or buy Theory and Applications of Higher-dimensional Hadamard Matrices - 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. The first part stresses the classical 2-dimensional Walsh and Hadamard matrices. Fast algorithms, updated constructions, existence results, Book Edition: Softcover Reprint of Hardcover 1st Ed.


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Theory and Applications of Higher-Dimensional Hadamard Matrices (Combinatorics and Computer Science) by Yang Yi Xian Download PDF EPUB FB2

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 Author: Yi Xian Yang. Theory and Applications of Higher-Dimensional Hadamard Matrices (Combinatorics and Computer Science) st Edition by Yang Yi Xian (Author)Cited by: 5.

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.

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, Cited by: Dear sirs Tensor, vector and matrix calculus are fundamental for the study of mathematics, they are important for physics, but they also have an tremendous role in astrophysics, geometry, relativity and mathematics, they are the base of Einstein's equations, and this book as notorius arguments to better comprehende matrix, vector and even linear algebra, and it was donated Cited by: It is suggested that proper higher dimensional Hadamard matrices may find application in error-correcting cedes, where their hierarchy of orthogonalitias permit a variety of checking procedures.

Other types of Hadamard matrices may be of use in security codes on the basis of their resemblance to random binary by:   We survey research progress in Hadamard matrices, especially cocyclic Hadamard matrices, their generalisations and applications, made over the past three years.

Advances in 20 specific problems and several new research directions are outlined. Two new problems are by: matrices of orders 2a m and 2b n is an Hadamard matrix of order 2a+bmn. Our graph shows that we would like to reduce this power of two. In his book, Hadamard Matrices and Their Applications, Agayan [1] shows how to multi­ ply these Hadamard matrices to get an Hadamard matrix of order 2a+b-1mn.

On some applications of Hadamard matrices 3 (v) every Hadamard matrix is H-equivalent to an Hadamard matrix which has every element of its first row and column equal to +1 — matrices of this latter form are called normalized; (vi) if H4n is a normalized Hadamard matrix of order 4n, then every row (col.

Complex Hadamard matrices arise in the study of operator algebras and the theory of quantum computation. Butson-type Hadamard matrices are complex Hadamard matrices in which the entries are taken to be q th roots of unity.

The term complex Hadamard matrix has been used by some authors to refer specifically to the case q = 4. Practical applications. 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. Matrices: theory and applications / Denis Serre. cm.—(Graduate texts in mathematics ; ) This book is organized into ten chapters.

The first three contain the basics of matrix theory and should be known by almost every graduate student in any mathematical field. The other parts can be read more or.

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 Reviews: 1. 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. 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 Cited by: In mathematics, the Hadamard product (also known as the element-wise, entrywise: ch.

5 or Schur product) is a binary operation that takes two matrices of the same dimensions and produces another matrix of the same dimension as the operands where each element i, j is the product of elements i, j of the original two matrices. It should not be confused with the more common matrix.

Drawing on the authors' use of the Hadamard-related theory in several successful engineering projects, this book explores the applications and dimensions of Hadamard matrices.

It contains a section on the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security. InHadamard Matrices and Their Applications, K. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data : Kathy Horadam.

On some applications of Hadamard matrices. This book is accessible to non-statisticians having a grasp of least quares estimation for multiple. Introduction. The purpose of this paper is threefold: to provide an introduction to the cohomology theory underpinning cocyclic generalised Hadamard matrices, sufficient for a newcomer to begin work in the area; to survey recent theoretical results on cocyclic generalised Hadamard matrices; and to indicate briefly how they are used to construct error-correcting Cited by: 7.

Book Info Hadamard Matrices and Their Applications. Book Description: InHadamard Matrices and Their Applications, K.

J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing.In this survey the ideas of Hadamard matrices are briefly outlined. We mention the existence problem and constructions, relations to block designs, and special types of Hadamard matrices.

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 50) Abstract. In this survey the ideas of Hadamard matrices are.The DWHT transform matrices are rearrangements of discrete Hadamard matrices, which are of particular importance in coding theory [].

A Hadamard matrix of order N is defined as an N × N matrix H, with the property that H H T = N I, where I is the N × N identity matrix. Hadamard matrices whose dimensions are a power of two can be.