Discrete Cosine and Sine Transforms

Written By Vladimir Britanak
Discrete Cosine and Sine Transforms
  • Publsiher : Elsevier
  • Release : 28 July 2010
  • ISBN : 9780080464640
  • Pages : 368 pages
  • Rating : /5 from reviews
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Download or read book entitled Discrete Cosine and Sine Transforms by author: Vladimir Britanak which was release on 28 July 2010 and published by Elsevier with total page 368 pages . This book available in PDF, EPUB and Kindle Format. The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular. Fast algorithms and applications of the DCT Type II (DCT-II) have become the heart of many established international image/video coding standards. Since then other forms of the DCT and Discrete Sine Transform (DST) have been investigated in detail. This new edition presents the complete set of DCT and DST discrete trigonometric transforms, including their definitions, general mathematical properties, and relations to the optimal Karhunen-Loéve transform (KLT), with the emphasis on fast algorithms (one-dimensional and two-dimensional) and integer approximations of DCTs and DSTs for their efficient implementations in the integer domain. DCTs and DSTs are real-valued transforms that map integer-valued signals to floating-point coefficients. To eliminate the floating-point operations, various methods of integer approximations have been proposed to construct and flexibly generate a family of integer DCT and DST transforms with arbitrary accuracy and performance. The integer DCTs/DSTs with low-cost and low-powered implementation can replace the corresponding real-valued transforms in wireless and satellite communication systems as well as portable computing applications. The book is essentially a detailed excursion on orthogonal/orthonormal DCT and DST matrices, their matrix factorizations and integer aproximations. It is hoped that the book will serve as a valuable reference for industry, academia and research institutes in developing integer DCTs and DSTs as well as an inspiration source for further advanced research. Presentation of the complete set of DCTs and DSTs in context of entire class of discrete unitary sinusoidal transforms: the origin, definitions, general mathematical properties, mutual relationships and relations to the optimal Karhunen-Loéve transform (KLT) Unified treatment with the fast implementations of DCTs and DSTs: the fast rotation-based algorithms derived in the form of recursive sparse matrix factorizations of a transform matrix including one- and two-dimensional cases Detailed presentation of various methods and design approaches to integer approximation of DCTs and DSTs utilizing the basic concepts of linear algebra, matrix theory and matrix computations leading to their efficient multiplierless real-time implementations, or in general reversible integer-to-integer implementations Comprehensive list of additional references reflecting recent/latest developments in the efficient implementations of DCTs and DSTs mainly one-, two-, three- and multi-dimensional fast DCT/DST algorithms including the recent active research topics for the time period from 1990 up to now

Discrete Cosine and Sine Transforms

Discrete Cosine and Sine Transforms
  • Author : Vladimir Britanak,Patrick C. Yip,K. R Rao
  • Publisher : Elsevier
  • Release Date : 2010-07-28
  • Total pages : 368
  • ISBN : 9780080464640
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Summary : The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular. Fast algorithms and applications of the DCT Type II (DCT-II) have become the heart of many established international image/video coding standards. Since then other forms of ...

Transforms and Applications Handbook

Transforms and Applications Handbook
  • Author : Alexander D. Poularikas
  • Publisher : CRC Press
  • Release Date : 2018-09-03
  • Total pages : 911
  • ISBN : 9780080464640
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Summary : Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and ...

Fourier Analysis

Fourier Analysis
  • Author : Source Wikipedia
  • Publisher : University-Press.org
  • Release Date : 2013-09
  • Total pages : 194
  • ISBN : 9780080464640
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Summary : Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 192. Chapters: Nyquist-Shannon sampling theorem, Discrete cosine transform, Discrete Fourier transform, Bessel function, Dirac delta function, Autocorrelation, Laplace's equation, Convolution, Topological group, Banach algebra, List of Fourier-related transforms, Frequency spectrum, ...

Discrete Cosine Transform Second Edition

Discrete Cosine Transform  Second Edition
  • Author : Humberto Ochoa-Dominguez,K. R. Rao
  • Publisher : CRC Press
  • Release Date : 2019-04-18
  • Total pages : 358
  • ISBN : 9780080464640
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Summary : Many new DCT-like transforms have been proposed since the first edition of this book. For example, the integer DCT that yields integer transform coefficients, the directional DCT to take advantage of several directions of the image and the steerable DCT. The advent of higher dimensional frames such as UHDTV and 4...

Communication Theory and Signal Processing for Transform Coding

Communication Theory and Signal Processing for Transform Coding
  • Author : Khamies El-Shennawy
  • Publisher : Bentham Science Publishers
  • Release Date : 2014-06-08
  • Total pages : 302
  • ISBN : 9780080464640
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Summary : This book is tailored to fulfil the requirements in the area of the signal processing in communication systems. The book contains numerous examples, solved problems and exercises to explain the methodology of Fourier Series, Fourier Analysis, Fourier Transform and properties, Fast Fourier Transform FFT, Discrete Fourier Transform DFT and properties, ...

Digital Video and Audio Broadcasting Technology

Digital Video and Audio Broadcasting Technology
  • Author : Walter Fischer
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-03-24
  • Total pages : 800
  • ISBN : 9780080464640
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Summary : "Digital Video and Audio Broadcasting Technology – A Practical Engineering Guide" deals with all the most important digital television, sound radio and multimedia standards such as MPEG, DVB, DVD, DAB, ATSC, T-DMB, DMB-T, DRM and ISDB-T. The book provides an in-depth look at these subjects in terms of practical experience. In ...

The Transforms and Applications Handbook

The Transforms and Applications Handbook
  • Author : Alexander F. Poularikas,Pouiarikas Alexander D
  • Publisher : CRC Press
  • Release Date : 1996
  • Total pages : 1103
  • ISBN : 9780080464640
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Summary : This handbook brings together in a single volume the most important mathematical transforms used by engineers and scientists. It begins with a treatment of the delta function and some of the classical orthogonal functions. The book covers transforms such as Fourier Transforms, Cosine and Sine Transforms, Harley Transforms, Laplace Transforms, ...

Linear Difference Equations with Discrete Transform Methods

Linear Difference Equations with Discrete Transform Methods
  • Author : A.J. Jerri
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Total pages : 442
  • ISBN : 9780080464640
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Summary : This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The ...

Discrete Transforms and Their Applications

Discrete Transforms and Their Applications
  • Author : Kamisetty Ramamohan Rao
  • Publisher : Krieger Publishing Company
  • Release Date : 1990
  • Total pages : 334
  • ISBN : 9780080464640
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Summary : Read online Discrete Transforms and Their Applications written by Kamisetty Ramamohan Rao, published by Krieger Publishing Company which was released on 1990. Download full Discrete Transforms and Their Applications Books now! Available in PDF, ePub and Kindle....

The continuous boundary local trigonometric transform

The continuous boundary local trigonometric transform
  • Author : Brons Michael Larson
  • Publisher : Unknown
  • Release Date : 2002
  • Total pages : 434
  • ISBN : 9780080464640
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Summary : Read online The continuous boundary local trigonometric transform written by Brons Michael Larson, published by which was released on 2002. Download full The continuous boundary local trigonometric transform Books now! Available in PDF, ePub and Kindle....

The Discrete Fourier Transform

The Discrete Fourier Transform
  • Author : D. Sundararajan
  • Publisher : World Scientific
  • Release Date : 2001
  • Total pages : 392
  • ISBN : 9780080464640
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Summary : This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and WalshOCoHadamard transforms. The large number ...

Indian Science Abstracts

Indian Science Abstracts
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2003-05
  • Total pages : 212
  • ISBN : 9780080464640
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Summary : Read online Indian Science Abstracts written by , published by which was released on 2003-05. Download full Indian Science Abstracts Books now! Available in PDF, ePub and Kindle....

Discrete Fourier Transform The Theory Algorithms And Applications

Discrete Fourier Transform  The  Theory  Algorithms And Applications
  • Author : Duraisamy Sundararajan
  • Publisher : World Scientific
  • Release Date : 2001-04-30
  • Total pages : 392
  • ISBN : 9780080464640
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Summary : This authoritative book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large number ...

29th Midwest Symposium on Circuits and Systems

29th Midwest Symposium on Circuits and Systems
  • Author : Mohammed Ismail
  • Publisher : North Holland
  • Release Date : 1987
  • Total pages : 993
  • ISBN : 9780080464640
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Summary : Read online 29th Midwest Symposium on Circuits and Systems written by Mohammed Ismail, published by North Holland which was released on 1987. Download full 29th Midwest Symposium on Circuits and Systems Books now! Available in PDF, ePub and Kindle....

Conference Record of the Twenty eighth Asilomar Conference on Signals Systems Computers

Conference Record of the Twenty eighth Asilomar Conference on Signals  Systems   Computers
  • Author : Avtar Singh
  • Publisher : Unknown
  • Release Date : 1994
  • Total pages : 1551
  • ISBN : 9780080464640
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Summary : Read online Conference Record of the Twenty eighth Asilomar Conference on Signals Systems Computers written by Avtar Singh, published by which was released on 1994. Download full Conference Record of the Twenty eighth Asilomar Conference on Signals Systems Computers Books now! Available in PDF, ePub and Kindle....