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 ...

Discrete Cosine and Sine Transforms

Discrete Cosine and Sine Transforms
  • Author : Vladimir Britanak,Patrick C Yip,K R Rao
  • Publisher : Academic Press
  • Release Date : 2006-11-26
  • 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 ...

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...

Hardware Implementation of Windowed Discrete Cosine and Discrete Sine Transforms in VHDL

Hardware Implementation of Windowed Discrete Cosine and Discrete Sine Transforms in VHDL
  • Author : Smitha Murthy
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 126
  • ISBN : 9780080464640
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Summary : This study is to investigate the hardware implementation of the digital signal processing algorithms namely Discrete Cosine Transform (DCT) and Discrete Sine Transform (DST) for image compression and image updating. A typical approach when processing a signal or an image using Discrete Cosine Transform (DCT) or Discrete sine Transform (DST) ...

Discrete Cosine Sine Transform

Discrete Cosine   Sine Transform
  • Author : Jaskeerat S. Baweja
  • Publisher : Unknown
  • Release Date : 2000
  • Total pages : 266
  • ISBN : 9780080464640
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Summary : The goals of this thesis are the following: to provide a tutorial in the field of discrete cosine transforms and discrete sine transforms in one, two, and three dimensions; to show how these transforms can be used in the field of image processing; and finally to compare their image coding ...

Data Compression with Discrete Cosine sine Transform Discrete Cosine Transform and Wavelet Transforms

Data Compression with Discrete Cosine sine Transform  Discrete Cosine Transform  and Wavelet Transforms
  • Author : Feng Zou
  • Publisher : Unknown
  • Release Date : 19??
  • Total pages : 143
  • ISBN : 9780080464640
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Summary : Read online Data Compression with Discrete Cosine sine Transform Discrete Cosine Transform and Wavelet Transforms written by Feng Zou, published by which was released on 19??. Download full Data Compression with Discrete Cosine sine Transform Discrete Cosine Transform and Wavelet Transforms Books now! Available in PDF, ePub and Kindle....

Hardware Implementation Design Synthesis and Analysis of Odd Discrete Cosine Transform and Odd Discrete Sine Transform Using Verilog HDL

Hardware Implementation  Design Synthesis and Analysis of Odd Discrete Cosine Transform and Odd Discrete Sine Transform Using Verilog HDL
  • Author : Sanskruti Mainkar
  • Publisher : Unknown
  • Release Date : 2007
  • Total pages : 170
  • ISBN : 9780080464640
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Summary : This objective of this work is to address the hardware implementation of Odd Discrete Cosine Transform (ODCT) and Odd Discrete Sine Transform (ODST) by utilizing the ODCT/ODST coefficients obtained from the conventional algorithms. The Discrete Cosine Transform (DCT) is a Fourier-related transform similar to the Discrete Fourier Transform (DFT), ...

Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform
  • Author : Charles Van Loan
  • Publisher : SIAM
  • Release Date : 1992
  • Total pages : 273
  • ISBN : 9780080464640
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Summary : The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithms--a critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in high-performance computing, is used. The Fast Fourier Transform (FFT) ...

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 ...

Digital Television

Digital Television
  • Author : Walter Fischer
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-18
  • Total pages : 394
  • ISBN : 9780080464640
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Summary : Digital Television closely examines all present-day TV transmission methods. These include MPEG, DVB, ATSC and ISDB-T. DVD is also discussed. The text covers these subjects in a practical-minded manner. Although mathematical formulations are used, they are in most cases only utilized to supplement the text. The book also contains chapters ...

A Hardware Implementation and Analysis of the Discrete Cosine Transform Update Algorithms

A Hardware Implementation and Analysis of the Discrete Cosine Transform Update Algorithms
  • Author : Hazem Bassam Alassaly
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 480
  • ISBN : 9780080464640
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Summary : This work can be divided into three main objectives. The first objective is to implement hardware circuits that are capable of computing the Discrete Cosine Transform (DCT) coefficients and the Discrete Sine Transform (DST) coefficients in an efficient and optimized way (conventional mode of operation). Those circuits are built using ...

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
GET BOOK

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, ...

Fast Transform Methods in Digital Signal Processing

Fast Transform Methods in Digital Signal Processing
  • Author : Leonid Yaroslavsky
  • Publisher : Bentham Science Publishers
  • Release Date : 2011-09-09
  • Total pages : 119
  • ISBN : 9780080464640
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Summary : "This ebook covers fast transform algorithms, analyses, and applications in a single volume. It is the result of the collaboration by the author with others in the world wide university community and has been accumulated over the author's working lifetime "...

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 ...