Discrete Cosine and Sine Transforms

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  • Author : Vladimir Britanak
  • Publisher : Elsevier
  • Pages : 368 pages
  • ISBN : 9780080464640
  • Rating : /5 from reviews
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Download or Read online Discrete Cosine and Sine Transforms full in PDF, ePub and kindle. this book written by Vladimir Britanak and published by Elsevier which was released on 28 July 2010 with total page 368 pages. We cannot guarantee that Discrete Cosine and Sine Transforms book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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 : 28 July 2010
GET THIS BOOK Discrete Cosine and Sine Transforms

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

Transforms and Applications Handbook

Transforms and Applications Handbook
  • Author : Alexander D. Poularikas
  • Publisher : CRC Press
  • Release : 03 September 2018
GET THIS BOOK Transforms and Applications Handbook

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 systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top

Fourier Analysis

Fourier Analysis
  • Author : Source Wikipedia
  • Publisher : University-Press.org
  • Release : 01 September 2013
GET THIS BOOK Fourier Analysis

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, Haar measure, Laplace transform, Fourier transform spectroscopy, Convolution theorem, Harmonic function, Basis function, Periodic function, Whittaker-Shannon interpolation formula, Fundamental frequency, Laplace operator, Modified discrete cosine transform, Fourier optics, Spherical harmonics,

Discrete Cosine Transform Second Edition

Discrete Cosine Transform  Second Edition
  • Author : Humberto Ochoa-Dominguez,K. R. Rao
  • Publisher : CRC Press
  • Release : 18 April 2019
GET THIS BOOK Discrete Cosine Transform Second Edition

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 4K-TV demand for small and large transform blocks to encode small or large similar areas respectively in an efficient way. Therefore, a new updated book on DCT, adapted to the

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 : 08 June 2014
GET THIS BOOK Communication Theory and Signal Processing for Transform Coding

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, Discrete Cosine Transform DCT, Discrete Wavelet Transform DWT and Contourlet Transform CT. The book is characterized by three directions, the communication theory and signal processing point of view, the mathematical

Digital Video and Audio Broadcasting Technology

Digital Video and Audio Broadcasting Technology
  • Author : Walter Fischer
  • Publisher : Springer Science & Business Media
  • Release : 24 March 2010
GET THIS BOOK Digital Video and Audio Broadcasting Technology

"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 addition it contains chapters on the basics of technologies such as analog television, digital modulation, COFDM or mathematical transformations between time and frequency domains. The attention in the respective field

The Transforms and Applications Handbook

The Transforms and Applications Handbook
  • Author : Alexander F. Poularikas,Pouiarikas Alexander D
  • Publisher : CRC Press
  • Release : 08 May 1996
GET THIS BOOK The Transforms and Applications Handbook

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, Z-Transforms, Hilbert Transforms, Radon and Abel Transforms, Time-Frequency Transformations, Wavelet Transforms, Hankel Transforms, and Mellin Transforms. Applications and examples are included.

Linear Difference Equations with Discrete Transform Methods

Linear Difference Equations with Discrete Transform Methods
  • Author : A.J. Jerri
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOK Linear Difference Equations with Discrete Transform Methods

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 book is in tended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the di rect use of the discrete Fourier

The Discrete Fourier Transform

The Discrete Fourier Transform
  • Author : D. Sundararajan
  • Publisher : World Scientific
  • Release : 08 May 2021
GET THIS BOOK The Discrete Fourier Transform

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 of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of C-language programs (a