Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations by Vladimir Britanak, Patrick C. Yip, K. R Rao
Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations by Vladimir Britanak, Patrick C. Yip, K. R Rao PDF, ePub eBook D0wnl0ad
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.
Key Features
- 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.
From reader reviews:
Jesse Linder:
As people who live in the actual modest era should be update about what going on or facts even knowledge to make all of them keep up with the era which is always change and advance. Some of you maybe may update themselves by looking at books. It is a good choice in your case but the problems coming to anyone is you don't know what kind you should start with. This Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations is our recommendation so you keep up with the world. Why, because book serves what you want and want in this era.
Roger Sowa:
Reading a book tends to be new life style in this particular era globalization. With reading through you can get a lot of information that may give you benefit in your life. Together with book everyone in this world can certainly share their idea. Publications can also inspire a lot of people. A great deal of author can inspire their very own reader with their story or even their experience. Not only the storyplot that share in the publications. But also they write about advantage about something that you need instance. How to get the good score toefl, or how to teach your young ones, there are many kinds of book that you can get now. The authors on earth always try to improve their talent in writing, they also doing some analysis before they write to their book. One of them is this Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations.
Bessie Starns:
In this period of time globalization it is important to someone to get information. The information will make professionals understand the condition of the world. The condition of the world makes the information much easier to share. You can find a lot of sources to get information example: internet, newspapers, book, and soon. You will observe that now, a lot of publisher that print many kinds of book. Often the book that recommended for you is Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations this guide consist a lot of the information of the condition of this world now. This particular book was represented how does the world has grown up. The vocabulary styles that writer use for explain it is easy to understand. The particular writer made some study when he makes this book. Here is why this book acceptable all of you.
Read Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations by Vladimir Britanak, Patrick C. Yip, K. R Rao for online ebook
Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations by Vladimir Britanak, Patrick C. Yip, K. R Rao Free PDF d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books online, book reviews epub, read books online, books to read online, online library, greatbooks to read, PDF best books to read, top books to read Discrete Cosine and Sine Transforms: General Properties, Fast Algorithms and Integer Approximations by Vladimir Britanak, Patrick C. Yip, K. R Rao books to read online.
No comments:
Post a Comment