Hadamard Matrix Analysis and Synthesis PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Hadamard Matrix Analysis and Synthesis PDF full book. Access full book title Hadamard Matrix Analysis and Synthesis by Rao K. Yarlagadda. Download full books in PDF and EPUB format.
Author: Rao K. Yarlagadda
Publisher: Springer
ISBN: 9781461563143
Category : Technology & Engineering
Languages : en
Pages : 123
Get Book Here
Book Description
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.
Author: Rao K. Yarlagadda
Publisher: Springer Science & Business Media
ISBN: 1461563135
Category : Technology & Engineering
Languages : en
Pages : 120
Get Book Here
Book Description
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.
Author: Rao K. Yarlagadda
Publisher: Springer
ISBN: 9781461563143
Category : Technology & Engineering
Languages : en
Pages : 123
Get Book Here
Book Description
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.
Author: K. J. Horadam
Publisher: Princeton University Press
ISBN: 1400842905
Category : Mathematics
Languages : en
Pages : 280
Get Book Here
Book Description
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.
Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319312812
Category : Mathematics
Languages : en
Pages : 745
Get Book Here
Book Description
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
Author: Daniel Glover
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Get Book Here
Book Description
Author: William A. Pearlman
Publisher: Springer Nature
ISBN: 303134684X
Category : Technology & Engineering
Languages : en
Pages : 75
Get Book Here
Book Description
This book teaches the fundamentals and mathematical formulas of reversible transformations (or transforms) that are used in many source coding and signal processing systems. These mathematical transforms are often necessary or crucial toward reduction of data storage and transmission rate requirements. The author emphasizes the wavelet transform as it is the preferred transform for practical application in many coding and signal processing systems. The book also covers the tap (coefficient) values for some of those filters that satisfy the perfect reconstruction property. Examples of the use of filter-based and matrix-based transforms are also provided. This self-contained work contains insight gained through research and practice, which makes it a valuable reference and tutorial for readers interested in the subject of mathematical transforms. This book: Teaches the fundamentals and mathematical formulas of reversible transformations, as well as their applications Highlights the wavelet transformation, which is the preferred transform for many practical applications Contains insight gained through research and practice, making it a valuable resource those interested in the topic
Author: Philip A. Laplante
Publisher: CRC Press
ISBN: 1351830635
Category : Technology & Engineering
Languages : en
Pages : 566
Get Book Here
Book Description
A complete lexicon of technical information, the Dictionary of Computer Science, Engineering, and Technology provides workable definitions, practical information, and enhances general computer science and engineering literacy. It spans various disciplines and industry sectors such as: telecommunications, information theory, and software and hardware systems. If you work with, or write about computers, this dictionary is the single most important resource you can put on your shelf. The dictionary addresses all aspects of computing and computer technology from multiple perspectives, including the academic, applied, and professional vantage points. Including more than 8,000 terms, it covers all major topics from artificial intelligence to programming languages, from software engineering to operating systems, and from database management to privacy issues. The definitions provided are detailed rather than concise. Written by an international team of over 80 contributors, this is the most comprehensive and easy-to-read reference of its kind. If you need to know the definition of anything related to computers you will find it in the Dictionary of Computer Science, Engineering, and Technology.
Author: Baozong Yuan
Publisher:
ISBN:
Category : Signal processing
Languages : en
Pages : 974
Get Book Here
Book Description
Author: Matthew He
Publisher: John Wiley & Sons
ISBN: 1118099524
Category : Computers
Languages : en
Pages : 231
Get Book Here
Book Description
Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.
Author: Sergei V Petoukhov
Publisher: World Scientific
ISBN: 981127827X
Category : Science
Languages : en
Pages : 616
Get Book Here
Book Description
Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress in genomics has yielded many millions of gene sequences. But what do these sequences tell us and what are the generalities and rules governed by them? It seems that we understand very little about the genetic contexts required to 'read' them. There is more to life than the genomic blueprint of each organism. Life functions within the natural laws that we know and the ones we do not know. The development of modern mathematical natural sciences is based on the use of certain mathematical tools. Mathematics can be used to understand life from the molecular to the biosphere level.This book provides the foundation and latest advances for an emerging research area that uses tools from symbolic computation, computer algebra and logic, algebraic geometry, fractal geometry, probability and statistics, and matrix algebra to formalize and solve biological problems and explore its applications in algebraic biology and code biology. It introduces highly interdisciplinary topics in biomathematics such as matrix genetics, gestalt biology, bio-antenna arrays, resonance genetics, quantum biology, and more.
