Discrete Cosine and Sine Transforms

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  • Author : Vladimir Britanak
  • Publisher : Elsevier
  • Pages : 368 pages
  • ISBN : 9780080464640
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Discrete Cosine and Sine Transforms

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

Discrete Cosine Sine Transform

Discrete Cosine   Sine Transform
  • Author : Jaskeerat S. Baweja
  • Publisher : Unknown
  • Release : 22 January 2022
GET THIS BOOK Discrete Cosine Sine Transform

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.

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

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 : 22 January 2022
GET THIS BOOK Hardware Implementation of Windowed Discrete Cosine and Discrete Sine Transforms in VHDL

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

Digital Television

Digital Television
  • Author : Walter Fischer
  • Publisher : Springer Science & Business Media
  • Release : 18 April 2013
GET THIS BOOK Digital Television

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.

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 : 22 January 2022
GET THIS BOOK Hardware Implementation Design Synthesis and Analysis of Odd Discrete Cosine Transform and Odd Discrete Sine Transform Using Verilog HDL

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), but using a purely real representation. The DCT Algorithm is widely used due to its autocorrelation properties, bandwidth reduction and energy compaction efficiency and is used extensively in the field

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

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

Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform
  • Author : Charles Van Loan
  • Publisher : SIAM
  • Release : 22 January 1992
GET THIS BOOK Computational Frameworks for the Fast Fourier Transform

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) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline.

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 : 22 January 2022
GET THIS BOOK A Hardware Implementation and Analysis of the Discrete Cosine Transform Update Algorithms

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 a hybrid design that combines the butterfly flow-graph and the matrix-vector multiplication method. The hybrid design helps solving the problem of global communications that are necessary to implement the traditional

Integral and Discrete Transforms with Applications and Error Analysis

Integral and Discrete Transforms with Applications and Error Analysis
  • Author : Abdul Jerri
  • Publisher : CRC Press
  • Release : 19 November 2021
GET THIS BOOK Integral and Discrete Transforms with Applications and Error Analysis

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

Discrete Cosine Transform

Discrete Cosine Transform
  • Author : K. Ramamohan Rao,P. Yip
  • Publisher : Academic Press
  • Release : 28 June 2014
GET THIS BOOK Discrete Cosine Transform

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.

DSP for MATLAB and LabVIEW Fundamentals of discrete frequency transforms

DSP for MATLAB and LabVIEW  Fundamentals of discrete frequency transforms
  • Author : Forester W. Isen
  • Publisher : Morgan & Claypool Publishers
  • Release : 22 January 2022
GET THIS BOOK DSP for MATLAB and LabVIEW Fundamentals of discrete frequency transforms

This book is Volume II of the series DSP for MATLABâ„¢ and LabVIEWâ„¢. This volume provides detailed coverage of discrete frequency transforms, including a brief overview of common frequency transforms, both discrete and continuous, followed by detailed treatments of the Discrete Time Fourier Transform (DTFT), the z -Transform (including definition and properties, the inverse z -transform, frequency response via z-transform, and alternate filter realization topologies (including Direct Form, Direct Form Transposed, Cascade Form, Parallel Form, and Lattice Form), and the

Multidimensional Discrete Unitary Transforms

Multidimensional Discrete Unitary Transforms
  • Author : Artyom M. Grigoryan,Sos S. Agaian
  • Publisher : CRC Press
  • Release : 31 July 2003
GET THIS BOOK Multidimensional Discrete Unitary Transforms

This reference presents a more efficient, flexible, and manageable approach to unitary transform calculation and examines novel concepts in the design, classification, and management of fast algorithms for different transforms in one-, two-, and multidimensional cases. Illustrating methods to construct new unitary transforms for best algorithm sele