# Discrete Cosine and Sine Transforms

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- Author : Vladimir Britanak
- Publisher : Elsevier
- Release : 28 July 2010
- ISBN : 0080464645
- Page : 368 pages
- Rating : 4.5/5 from 103 voters

## Download Discrete Cosine and Sine Transforms in PDF, Epub and Kindle

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

- Author : Vladimir Britanak,Patrick C. Yip,K. R Rao
- Publisher : Elsevier
- Release Date : 2010-07-28
- ISBN : 0080464645

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

### Discrete Cosine Transform

- Author : K. Ramamohan Rao,P. Yip
- Publisher : Academic Press
- Release Date : 2014-06-28
- ISBN : 9780080925349

This is the first comprehensive treatment of the theoretical aspects of the discrete cosine transform (DCT), which is being recommended by various standards organizations, such as the CCITT, ISO etc., as the primary compression tool in digital image coding. The main purpose of the book is to provide a complete source for the user of this signal processing tool, where both the basics and the applications are detailed. An extensive bibliography covers both the theory and applications of the DCT.

### Discrete Cosine Transform, Second Edition

- Author : Humberto Ochoa-Dominguez,K. R. Rao
- Publisher : CRC Press
- Release Date : 2019-04-18
- ISBN : 9781351396479

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

### Digital Television

- Author : Walter Fischer
- Publisher : Springer Science & Business Media
- Release Date : 2013-04-18
- ISBN : 9783662054291

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 dealing with basic concepts such as digital modulation or transformations into the frequency domain. A major emphasis is placed on the measuring techniques used on these various digital TV signals.

### Discrete Cosine Transform, Second Edition

- Author : Humberto Ochoa-Dominguez,K. R. Rao
- Publisher : CRC Press
- Release Date : 2019-04-18
- ISBN : 9781351396486

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

### Discrete Cosine & Sine Transform

- Author : Jaskeerat S. Baweja
- Publisher : Unknown
- Release Date : 2000
- ISBN : OCLC:44494914

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 capabilities.

### Transforms and Applications Handbook

- Author : Alexander D. Poularikas
- Publisher : CRC Press
- Release Date : 2018-09-03
- ISBN : 9781420066531

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

### The Transform and Data Compression Handbook

- Author : Kamisetty Ramam Rao,Patrick C. Yip
- Publisher : CRC Press
- Release Date : 2018-10-03
- ISBN : 9781420037388

Data compression is one of the main contributing factors in the explosive growth in information technology. Without it, a number of consumer and commercial products, such as DVD, videophone, digital camera, MP3, video-streaming and wireless PCS, would have been virtually impossible. Transforming the data to a frequency or other domain enables even more efficient compression. By illustrating this intimate link, The Transform and Data Compression Handbook serves as a much-needed handbook for a wide range of researchers and engineers. The

### Discrete Cosine Transform

- Author : Humberto Ochoa-Dominguez,K. R. Rao
- Publisher : CRC Press
- Release Date : 2019
- ISBN : 1138304727

Revised edition of: Discrete cosine transform: algorithms, advntages, applications / K.R. Rao, P. Yip. 1990.

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

- Author : Smitha Murthy
- Publisher : Unknown
- Release Date : 2004
- ISBN : OCLC:841572931

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) is to extract a portion of the signal by windowing it and then applying DCT or DST of the window contents. The entire signal is processed by shifting the window

### Integral and Discrete Transforms with Applications and Error Analysis

- Author : Abdul Jerri
- Publisher : CRC Press
- Release Date : 2021-11-19
- ISBN : 9781000147520

This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling

### Integral and Discrete Transforms with Applications and Error Analysis

- Author : Abdul Jerri
- Publisher : CRC Press
- Release Date : 2021-11-19
- ISBN : 9781000104318

This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling

### JPEG Series

- Author : K. R. Rao,Humberto Ochoa Domínguez,Shreyanka Subbarayappa
- Publisher : River Publishers Signal, Image
- Release Date : 2021-06-30
- ISBN : 8770225931

This book covers the descriptions of the JPEG standards and gives the reader an overview of the latest advances in the standards of the Joint Photographic Experts Group.

### Digital Image Processing

- Author : Wilhelm Burger,Mark J. Burge
- Publisher : Springer Science & Business Media
- Release Date : 2012-01-19
- ISBN : 1846283795

Written as an introduction for undergraduate students, this textbook covers the most important methods in digital image processing. Formal and mathematical aspects are discussed at a fundamental level and various practical examples and exercises supplement the text. The book uses the image processing environment ImageJ, freely distributed by the National Institute of Health. A comprehensive website supports the book, and contains full source code for all examples in the book, a question and answer forum, slides for instructors, etc. Digital

### Digital Video and Audio Broadcasting Technology

- Author : Walter Fischer
- Publisher : Springer Science & Business Media
- Release Date : 2010-03-24
- ISBN : 9783642116124

"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