Theory applications higher dimensional (27 Ergebnisse)

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, and their generalised forms are presented. The second part deals with the lower-dimensional cases, e.g. 3-, 4-, and 6-dimensional Walsh and Hadamard matrices and transforms. One of the aims of this part is to simplify moving smoothly from 2-dimensional cases to the general higher-dimensional cases. This part concentrates on the 3-dimensional Hadamard and Walsh matrices. Constructions based upon direct multiplication, and upon recursive methods, and perfect binary arrays are also introduced. Another important topic is the existence and construction of 3-dimensional Hadamard matrices of orders 4k and 4k + 2 respectively, and a group of transforms based on 2-, 3-, 4-, and 6-dimensional Walsh-Hadamard matrices and their corresponding fast algorithms. The third part is the key part, which investigates the N-dimensional Hadamard matrices of order 2, which have been proved equivalent to the well-known H-Boolean functions and the perfect binary arrays of order 2. This equivalence motivates a group of perfect results about the enumeration of higher-dimensional Hadamard matrices of order 2. Applications of these matrices to feed forward networking, stream cipher, Bent functions, and error correction codes are presented in turn. After introducing the definitions of the regular, proper, improper, and generalised higher-dimensional Hadamard matrices, many theorems about the existence and constructions are presented. Perfect binary arrays, generalised perfect arrays, and the orthogonal designs are also used to construct new higher-dimensional Hadamard matrices. The many open problems in the study of the theory of higher-dimensional Hadamard matrices, which are also listed in the book, will encourage further research. Audience: This volume will appeal to researchers and graduate students whose work involves signal processing, coding, information security, and applied discrete mathematics.…

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Taschenbuch. Zustand: Neu. Theory and Applications of Higher-Dimensional Hadamard Matrices | Yang Yi Xian | Taschenbuch | xii | Englisch | 2010 | Springer | EAN 9789048157303 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

paperback. Zustand: New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Language: English. Pub. Date: 2010. This is the first book on higher-dimensional hadamard matrices and their application in telecommunictions and information security. It is divided into three parts according to the dimensional walsh and Hadamard matrices. Fast algorithms. updated constructions. existence results. and their generalised forms are presented. The second part deals with the lower-dimenstional cases. eg3-. 4 -. and 6 - dimensional Walsh and Hadamard matrices and transforms.One of the aims of this part is to simplify moving smoothly from 2-dimensional cases to the general higher-dimensional cases.This part concentrates on the 3-dimensional Hadamard and Walsh matrices.Constructions based upon direct multiplication. and upon recursive methods. perfect binary arrays are also introduced.Another important topic is the existence and construction of 3-dimensional Hadamard matrices of orders 4k and 4k +2 respectively. and a group of transforms based on 2 -. 3 - .4-and 6-dimensional walsh-Hadamard matrices and their corresponding fast algorithms. The third part is the key part. which investigates the N-dimensional Hadamard matrices of order 2. which have been proved equivalent to the well known H-Boolean functions and the perfect binary arrays of order 2.This equivalence motivates a group of perfect results about the enumeration of higher-dimensional Hadamard matrices of order 2. Applications of these matrices to feed forward networking. stream cipher. Bent functions and error correction cods are presented in turn.after introducing the definitions of the regular. proper. improper. and generalised higher-dimensional Hadamard matrices. many theorems about the existence and constructions are presented.Perfect binary arrays. generalised perfect arrays. and the orthogonal desgns are also used to construct new higher-dimensional Hadamard matrices.The many open problems in the study of the theory of higher-dimensional Hadamard matrices which are also listed in the book will encourage further research. Audience This volume will appeal to researchers and graduate students whose work involves signal processing. coding. information security and applied discrete mathematics. Contents: Preface Part I Two- Dimensional Cases Chapter 1 Walsh Matrices 1.1 Walsh Functions and Matrices 1.1.1 Definitions 1.1.2 Ordering 1.2 Orthogonality and Completeness 1.2.1 Orthogonality 1.2.2 Completeness 1.3 Walsh Transforms and Fast Algorithms 1.3.1 Walsh Ordered Walsh-Hadamard Transforms 1.3.2 Hadamard Ordered Walsh-Hadamard Transforms Bibliography Chapter 2 Hadamard Matrices 2.1 Definitions 2.1.1 Hadamard Matrices 2.1.2 Hadamard Designs 2.1.3 Williamson Matrices 2.2 Construction 2.2.1 General Constructions .2.2.2 Amicable Hadamard Matrices 2.2.3 Skew Hadamard Matrices 2.2.4 Symmetric Hadamard Matrices 2.3 Existence 2.3.1 Orthogonal Designs and Hadamard Matrices 2.3.2 Existence Results Bibliography Part II Lower-Dimensional Cases Chapter 3 Three-Dimensional Hadamard Matrices 3.1 Definitions and Constructions 3.1.1 Definitions 3.1.2 Constructions Based on Direct Multiplications 3.1. 3 Constructions Based on 2-Dimensional Hadamard Matrices 3.2 Three-Dimensional Hadamard Matrices of Order 4k + 2 3.3 Three-Dimensional Hadamard Matrices of Order 4k 3.3.1 Recursive Constructions of Perfect Binary Arrays 3.3.2 Quasi-Perfect Binary Arrays 3.3.3 3 -Dimensional Hadamard Matrices Based on PBA (2m. 2m) and PBA (3.2m. 3.2m) 3.4 Three-Dimensional Walsh Matrices 3.4.1 Generalized 2-Dimensional Walsh Matrices 3.4.2 3-Dimensional Walsh Matrices 3.4.3 3-Dimensional Pan-Walsh Matrices 3.4.4 Analytic Representations Bibliography Chapter 4 Multi-Dimensional Walsh-Hadamard Transforms 4.1 Conventional 2-Dimensional Walsh-Hadamard Transforms 4.1.1 2-Dimensional Walsh-Hadamard Transforms 4.1.2 Definitions of 4-Dimensional Hadamard Matrices 4.2 Algebraical Theory of H.…

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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 440 | Sprache: Englisch | Produktart: Bücher | 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 covers classical two-dimensional Walsh and Hadamard matrices as well as new Hadamard designs based on dyadic addition sets. After focusing on three-, four-, and six-dimensional Walsh and Hadamard matrices and transforms, the authors describe applications of the n-dimensional Hadamard matrices of order 2. In a new section of the book, they explore the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.…

Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 440 | Sprache: Englisch | Produktart: Bücher | 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 covers classical two-dimensional Walsh and Hadamard matrices as well as new Hadamard designs based on dyadic addition sets. After focusing on three-, four-, and six-dimensional Walsh and Hadamard matrices and transforms, the authors describe applications of the n-dimensional Hadamard matrices of order 2. In a new section of the book, they explore the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.…

Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 440 | Sprache: Englisch | Produktart: Bücher | 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.…

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