Discrete Cosine and Sine Transforms Book

Discrete Cosine and Sine Transforms


  • Author : Vladimir Britanak
  • Publisher : Elsevier
  • Release Date : 2010-07-28
  • Genre: Mathematics
  • Pages : 368
  • ISBN 10 : 0080464645

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Discrete Cosine and Sine Transforms Book Description :

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 impleme

Discrete Cosine and Sine Transforms Book

Discrete Cosine and Sine Transforms


  • Author : Vladimir Britanak
  • Publisher : Academic Press
  • Release Date : 2007
  • Genre: Technology & Engineering
  • Pages : 349
  • ISBN 10 : 0123736242

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Discrete Cosine and Sine Transforms Book Description :

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 wit

Discrete Cosine Transform  Second Edition Book

Discrete Cosine Transform Second Edition


  • Author : Humberto Ochoa-Dominguez
  • Publisher : CRC Press
  • Release Date : 2019-04-18
  • Genre: Technology & Engineering
  • Pages : 358
  • ISBN 10 : 9781351396486

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Discrete Cosine Transform Second Edition Book Description :

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 modern days, considering the new advances in this area and targeted for students, researchers and the industry is a necessity.

Discrete Cosine Transform Book

Discrete Cosine Transform


  • Author : K. Ramamohan Rao
  • Publisher : Academic Press
  • Release Date : 2014-06-28
  • Genre: Mathematics
  • Pages : 512
  • ISBN 10 : 9780080925349

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Discrete Cosine Transform Book Description :

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. The novice will find the book useful in its self-contained treatment of the theory of the DCT, the detailed description of various algorithms supported by computer programs and the range of possible applications, including codecs used for teleconferencing, videophone, progressive image transmission, and broadcast TV. The more advanced user will appreciate the extensive references. Tables describing ASIC VLSI chips for implementing DCT, and motion estimation and details on image compression boards are also provided.

Linear Difference Equations with Discrete Transform Methods Book

Linear Difference Equations with Discrete Transform Methods


  • Author : A.J. Jerri
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Genre: Mathematics
  • Pages : 442
  • ISBN 10 : 9781475756579

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Linear Difference Equations with Discrete Transform Methods Book Description :

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 transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar meth ods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solv ing ordinary difference equations. The treatment closely parallels what many students have already learned about using the opera tional (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other meth ods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended eas ily to solve partial difference equations associated with initial and/or boundary value problems.

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

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


  • Author : Sanskruti Mainkar
  • Publisher :
  • Release Date : 2007
  • Genre:
  • Pages : 170
  • ISBN 10 : OCLC:841574073

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

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 of data and image compression, audio-visual, communication and speech enhancement techniques. The Discrete Sine Transform (DST) is equivalent to a DFT of real and odd functions. It is equivalent to the imaginary part of a DFT of roughly twice the length, operating on real data with odd symmetry (since the Fourier transform of a real and odd function is imaginary and odd), where in some variants the input and/or output data are shifted by half a sample. In this thesis, the digital hardware implementations of these two transforms are achieved using a hybrid design process by modifying the traditional butterfly flow-graph. This is achieved by combining the butterfly flow-graph and the matrix-vector multiplication method. A set of 4 data points is used to implement the hybrid design, but the study can be extended to larger data sets in case of more data points with minor modifications, due to the symmetry in the basic butterfly.

Digital Image Processing Book
Score: 5
From 1 Ratings

Digital Image Processing


  • Author : Wilhelm Burger
  • Publisher : Springer
  • Release Date : 2016-03-25
  • Genre: Computers
  • Pages : 811
  • ISBN 10 : 9781447166849

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Digital Image Processing Book Description :

This revised and expanded new edition of an internationally successful classic presents an accessible introduction to the key methods in digital image processing for both practitioners and teachers. Emphasis is placed on practical application, presenting precise algorithmic descriptions in an unusually high level of detail, while highlighting direct connections between the mathematical foundations and concrete implementation. The text is supported by practical examples and carefully constructed chapter-ending exercises drawn from the authors' years of teaching experience, including easily adaptable Java code and completely worked out examples. Source code, test images and additional instructor materials are also provided at an associated website. Digital Image Processing is the definitive textbook for students, researchers, and professionals in search of critical analysis and modern implementations of the most important algorithms in the field, and is also eminently suitable for self-study.

The Transform and Data Compression Handbook Book

The Transform and Data Compression Handbook


  • Author : Kamisetty Ramam Rao
  • Publisher : CRC Press
  • Release Date : 2018-10-03
  • Genre: Computers
  • Pages : 408
  • ISBN 10 : 9781420037388

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The Transform and Data Compression Handbook Book Description :

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 authors describe various discrete transforms and their applications in different disciplines. They cover techniques, such as adaptive quantization and entropy coding, that result in significant reduction in bit rates when applied to the transform coefficients. With clear and concise presentations of the ideas and concepts, as well as detailed descriptions of the algorithms, the authors provide important insight into the applications and their limitations. Data compression is an essential step towards the efficient storage and transmission of information. The Transform and Data Compression Handbook provides a wealth of information regarding different discrete transforms and demonstrates their power and practicality in data compression.

Digital Television Book
Score: 3.5
From 2 Ratings

Digital Television


  • Author : Walter Fischer
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-03-05
  • Genre: Computers
  • Pages : 384
  • ISBN 10 : 3540011552

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Digital Television Book Description :

Digital Television deals with all present-day TV transmission methods, i.e. MPEG, DVB, ATSC and ISDB-T. The DVD Video is also discussed to some extent. The discussion is focussed on dealing with these subjects in as practical a way as possible. 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. Practical examples and hints concerning measurement are provided. The book starts with the analog TV baseband signal and then continues with the MPEG-2 data stream, digital video, digital audio and the compression methods. After an excursion into the digital modulation methods, all the mentioned transmission methods are discussed in detail. Interspersed between these are found the chapters on the relevant measuring technique.

Discrete Cosine Transform  Second Edition Book

Discrete Cosine Transform Second Edition


  • Author : Humberto Ochoa-Dominguez
  • Publisher : CRC Press
  • Release Date : 2019-04-18
  • Genre: Technology & Engineering
  • Pages : 358
  • ISBN 10 : 9781351396479

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Discrete Cosine Transform Second Edition Book Description :

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 modern days, considering the new advances in this area and targeted for students, researchers and the industry is a necessity.

Digital Signal Processing and Statistical Classification Book
Score: 5
From 2 Ratings

Digital Signal Processing and Statistical Classification


  • Author : George J. Miao
  • Publisher : Artech House
  • Release Date : 2002
  • Genre: Technology & Engineering
  • Pages : 492
  • ISBN 10 : 1580531350

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Digital Signal Processing and Statistical Classification Book Description :

This is the first book to introduce and integrate advanced digital signal processing (DSP) and classification together, and the only volume to introduce state-of-the-art transforms including DFT, FFT, DCT, DHT, PCT, CDT, and ODT together for DSP and communication applications. You get step-by-step guidance in discrete-time domain signal processing and frequency domain signal analysis; digital filter design and adaptive filtering; multirate digital processing; and statistical signal classification. It also helps you overcome problems associated with multirate A/D and D/A converters.

Fourier Analysis Book

Fourier Analysis


  • Author : Source Wikipedia
  • Publisher : University-Press.org
  • Release Date : 2013-09
  • Genre:
  • Pages : 194
  • ISBN 10 : 1230550585

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Fourier Analysis Book Description :

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, LTI system theory, Window function, Pontryagin duality, Multiplier, Discrete-time Fourier transform, Modulus of continuity, Sobolev space, Almost periodic function, Carleson's theorem, Ewald summation, Relations between Fourier transforms and Fourier series, Poisson summation formula, Analytic signal, Reciprocal lattice, Fractional Fourier transform, Solid harmonics, Spin-weighted spherical harmonics, Short-time Fourier transform, Uncertainty principle for the short-time Fourier transform, Riesz-Thorin theorem, Discrete Hartley transform, Linear canonical transformation, SigSpec, Discrete sine transform, Chirplet transform, Homogeneous distribution, Peter-Weyl theorem, Bilinear time-frequency distribution, Metaplectic group, Bloch wave - MoM method, Marcinkiewicz interpolation theorem, Spectral leakage, Orthonormal basis, Paley-Wiener theorem, Overlap-add method, FBI transform, Unit circle, Fourier inversion theorem, DFT matrix, Poisson kernel, Interpolation space, Littlewood-Paley theory, Motions in the time-frequency distribution, List of cycles, Parametrix, A derivation of the discrete Fourier transform, Parseval's theorem, Number-theoretic transform, Compact group, Overlap-save method, Set of uniqueness, Multitaper, Convolution power, ..

Innovations in Digital Watermarking Techniques Book

Innovations in Digital Watermarking Techniques


  • Author : Feng-Hsing Wang
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-09-21
  • Genre: Computers
  • Pages : 186
  • ISBN 10 : 9783642031861

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Innovations in Digital Watermarking Techniques Book Description :

Information security and copyright protection are more important today than before. Digital watermarking is one of the widely used techniques used in the world in the area of information security. This book introduces a number of digital watermarking techniques and is divided into four parts. The first part introduces the importance of watermarking techniques and intelligent technology. The second part includes a number of watermarking techniques. The third part includes the hybrid watermarking techniques and the final part presents conclusions. This book is directed to students, professors, researchers and application engineers who are interested in the area of information security.

Integral and Discrete Transforms with Applications and Error Analysis Book

Integral and Discrete Transforms with Applications and Error Analysis


  • Author : Abdul Jerri
  • Publisher : CRC Press
  • Release Date : 1992-06-11
  • Genre: Mathematics
  • Pages : 848
  • ISBN 10 : 0824782526

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Integral and Discrete Transforms with Applications and Error Analysis Book Description :

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 of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.

Cosine  Sine Modulated Filter Banks Book

Cosine Sine Modulated Filter Banks


  • Author : Vladimir Britanak
  • Publisher : Springer
  • Release Date : 2017-08-02
  • Genre: Technology & Engineering
  • Pages : 645
  • ISBN 10 : 9783319610801

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Cosine Sine Modulated Filter Banks Book Description :

This book covers various algorithmic developments in the perfect reconstruction cosine/sine-modulated filter banks (TDAC-MDCT/MDST or MLT, MCLT, low delay MDCT, complex exponential/cosine/sine-modulated QMF filter banks), and near-perfect reconstruction QMF banks (pseudo-QMF banks) in detail, including their general mathematical properties, matrix representations, fast algorithms and various methods to integer approximations being recently a new transform technology for lossless audio coding. Each chapter will contain a number of examples and will conclude with problems and exercises. The book reflects the research efforts/activities and achieved results of the authors in the time period over the last 20 years.

Fast Fourier Transforms Book

Fast Fourier Transforms


  • Author : James S. Walker
  • Publisher : CRC Press
  • Release Date : 2017-11-22
  • Genre: Mathematics
  • Pages : 464
  • ISBN 10 : 9781351448871

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Fast Fourier Transforms Book Description :

This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include :

Transforms and Fast Algorithms for Signal Analysis and Representations Book

Transforms and Fast Algorithms for Signal Analysis and Representations


  • Author : Guoan Bi
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Technology & Engineering
  • Pages : 422
  • ISBN 10 : 9780817682200

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Transforms and Fast Algorithms for Signal Analysis and Representations Book Description :

This book is a comprehensive presentation of recent results and developments on several widely used transforms and their fast algorithms. In many cases, new options are provided for improved or new fast algorithms, some of which are not well known in the digital signal processing community. The book is suitable as a textbook for senior undergraduate and graduate courses in digital signal processing. It may also serve as an excellent self-study reference for electrical engineers and applied mathematicians whose work is related to the fields of electronics, signal processing, image and speech processing, or digital design and communication.

Discrete Cosine Transform Book

Discrete Cosine Transform


  • Author : K. Ramamohan Rao
  • Publisher : Academic Press
  • Release Date : 2014-06-28
  • Genre: Mathematics
  • Pages : 512
  • ISBN 10 : 9780080925349

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Discrete Cosine Transform Book Description :

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. The novice will find the book useful in its self-contained treatment of the theory of the DCT, the detailed description of various algorithms supported by computer programs and the range of possible applications, including codecs used for teleconferencing, videophone, progressive image transmission, and broadcast TV. The more advanced user will appreciate the extensive references. Tables describing ASIC VLSI chips for implementing DCT, and motion estimation and details on image compression boards are also provided.

Transforms and Applications Handbook Book
Score: 5
From 1 Ratings

Transforms and Applications Handbook


  • Author : Alexander D. Poularikas
  • Publisher : CRC Press
  • Release Date : 2018-09-03
  • Genre: Mathematics
  • Pages : 911
  • ISBN 10 : 9781420066531

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Transforms and Applications Handbook Book Description :

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 experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.