Multiplicative Complexity, Convolution, and the DFT

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Publisher : Springer Science & Business Media
ISBN 13 : 1461239125
Total Pages : 162 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multiplicative Complexity, Convolution, and the DFT by : Michael T. Heideman

Download or read book Multiplicative Complexity, Convolution, and the DFT written by Michael T. Heideman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be a comprehensive reference to multiplicative com plexity theory as applied to digital signal processing computations. Although a few algorithms are included to illustrate the theory, I concentrated more on the develop ment of the theory itself. Howie Johnson's infectious enthusiasm for designing efficient DfT algorithms got me interested in this subject. I am grateful to Prof. Sid Burrus for encouraging and supporting me in this effort. I would also like to thank Henrik Sorensen and Doug Jones for many stimulating discussions. lowe a great debt to Shmuel Winograd, who, almost singlehandedly, provided most of the key theoretical results that led to this present work. His monograph, Arithmetic Complexity o/Computations, introduced me to the mechanism behind the proofs of theorems in multiplicative complexity. enabling me to return to his earlier papers and appreciate the elegance of his methods for deriving the theory. The second key work that influenced me was the paper by Louis Auslander and Winograd on multiplicative complexity of semilinear systems defined by polynomials. After reading this paper, it was clear to me that this theory could be applied to many impor tant computational problems. These influences can be easily discerned in the present work.

Multiplicative Complexity, Convolution, and the DFT

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Publisher :
ISBN 13 : 9781461239130
Total Pages : 168 pages
Book Rating : 4.2/5 (391 download)

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Book Synopsis Multiplicative Complexity, Convolution, and the DFT by : Michael T Heideman

Download or read book Multiplicative Complexity, Convolution, and the DFT written by Michael T Heideman and published by . This book was released on 1988-08-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Signal Processing Handbook on CD-ROM

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Publisher : CRC Press
ISBN 13 : 0849321352
Total Pages : 1725 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Digital Signal Processing Handbook on CD-ROM by : VIJAY MADISETTI

Download or read book Digital Signal Processing Handbook on CD-ROM written by VIJAY MADISETTI and published by CRC Press. This book was released on 1999-02-26 with total page 1725 pages. Available in PDF, EPUB and Kindle. Book excerpt: A best-seller in its print version, this comprehensive CD-ROM reference contains unique, fully searchable coverage of all major topics in digital signal processing (DSP), establishing an invaluable, time-saving resource for the engineering community. Its unique and broad scope includes contributions from all DSP specialties, including: telecommunications, computer engineering, acoustics, seismic data analysis, DSP software and hardware, image and video processing, remote sensing, multimedia applications, medical technology, radar and sonar applications

Algorithms for Discrete Fourier Transform and Convolution

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727674
Total Pages : 273 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Algorithms for Discrete Fourier Transform and Convolution by : Richard Tolimieri

Download or read book Algorithms for Discrete Fourier Transform and Convolution written by Richard Tolimieri and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines. It thus bridges the gap between digital signal processing algorithms and their implementation on a variety of computing platforms. The mathematical concept of tensor product is a recurring theme throughout the book, since these formulations highlight the data flow, which is especially important on supercomputers. Because of their importance in many applications, much of the discussion centres on algorithms related to the finite Fourier transform and to multiplicative FFT algorithms.

Digital Signal Processing Fundamentals

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Publisher : CRC Press
ISBN 13 : 1351835726
Total Pages : 995 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Digital Signal Processing Fundamentals by : Vijay Madisetti

Download or read book Digital Signal Processing Fundamentals written by Vijay Madisetti and published by CRC Press. This book was released on 2017-12-19 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. Emphasizing theoretical concepts, Digital Signal Processing Fundamentals provides comprehensive coverage of the basic foundations of DSP and includes the following parts: Signals and Systems; Signal Representation and Quantization; Fourier Transforms; Digital Filtering; Statistical Signal Processing; Adaptive Filtering; Inverse Problems and Signal Reconstruction; and Time–Frequency and Multirate Signal Processing.

Algebraic Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662033380
Total Pages : 630 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Complexity Theory by : Peter Bürgisser

Download or read book Algebraic Complexity Theory written by Peter Bürgisser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.

Digital Signal Processing Algorithms

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Publisher : Routledge
ISBN 13 : 1351454978
Total Pages : 664 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Digital Signal Processing Algorithms by : Hari Krishna

Download or read book Digital Signal Processing Algorithms written by Hari Krishna and published by Routledge. This book was released on 2017-11-22 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.

Signal Processing and Machine Learning for Biomedical Big Data

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Publisher : CRC Press
ISBN 13 : 1351061216
Total Pages : 1151 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Signal Processing and Machine Learning for Biomedical Big Data by : Ervin Sejdic

Download or read book Signal Processing and Machine Learning for Biomedical Big Data written by Ervin Sejdic and published by CRC Press. This book was released on 2018-07-04 with total page 1151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the healthcare domain, big data is defined as any ``high volume, high diversity biological, clinical, environmental, and lifestyle information collected from single individuals to large cohorts, in relation to their health and wellness status, at one or several time points.'' Such data is crucial because within it lies vast amounts of invaluable information that could potentially change a patient's life, opening doors to alternate therapies, drugs, and diagnostic tools. Signal Processing and Machine Learning for Biomedical Big Data thus discusses modalities; the numerous ways in which this data is captured via sensors; and various sample rates and dimensionalities. Capturing, analyzing, storing, and visualizing such massive data has required new shifts in signal processing paradigms and new ways of combining signal processing with machine learning tools. This book covers several of these aspects in two ways: firstly, through theoretical signal processing chapters where tools aimed at big data (be it biomedical or otherwise) are described; and, secondly, through application-driven chapters focusing on existing applications of signal processing and machine learning for big biomedical data. This text aimed at the curious researcher working in the field, as well as undergraduate and graduate students eager to learn how signal processing can help with big data analysis. It is the hope of Drs. Sejdic and Falk that this book will bring together signal processing and machine learning researchers to unlock existing bottlenecks within the healthcare field, thereby improving patient quality-of-life. Provides an overview of recent state-of-the-art signal processing and machine learning algorithms for biomedical big data, including applications in the neuroimaging, cardiac, retinal, genomic, sleep, patient outcome prediction, critical care, and rehabilitation domains. Provides contributed chapters from world leaders in the fields of big data and signal processing, covering topics such as data quality, data compression, statistical and graph signal processing techniques, and deep learning and their applications within the biomedical sphere. This book’s material covers how expert domain knowledge can be used to advance signal processing and machine learning for biomedical big data applications.

Effective Video Coding for Multimedia Applications

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Publisher : BoD – Books on Demand
ISBN 13 : 953307177X
Total Pages : 270 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Effective Video Coding for Multimedia Applications by : Sudhakar Radhakrishnan

Download or read book Effective Video Coding for Multimedia Applications written by Sudhakar Radhakrishnan and published by BoD – Books on Demand. This book was released on 2011-04-26 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information has become one of the most valuable assets in the modern era. Within the last 5-10 years, the demand for multimedia applications has increased enormously. Like many other recent developments, the materialization of image and video encoding is due to the contribution from major areas like good network access, good amount of fast processors e.t.c. Many standardization procedures were carrried out for the development of image and video coding. The advancement of computer storage technology continues at a rapid pace as a means of reducing storage requirements of an image and video as most situation warrants. Thus, the science of digital video compression/coding has emerged. This storage capacity seems to be more impressive when it is realized that the intent is to deliver very high quality video to the end user with as few visible artifacts as possible. Current methods of video compression such as Moving Pictures Experts Group (MPEG) standard provide good performance in terms of retaining video quality while reducing the storage requirements. Many books are available for video coding fundamentals.This book is the research outcome of various Researchers and Professors who have contributed a might in this field. This book suits researchers doing their research in the area of video coding.The understanding of fundamentals of video coding is essential for the reader before reading this book. The book revolves around three different challenges namely (i) Coding strategies (coding efficiency and computational complexity), (ii) Video compression and (iii) Error resilience. The complete efficient video system depends upon source coding, proper inter and intra frame coding, emerging newer transform, quantization techniques and proper error concealment.The book gives the solution of all the challenges and is available in different sections.

Lectures on Discrete Time Filtering

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Publisher : Springer Science & Business Media
ISBN 13 : 1461383927
Total Pages : 162 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Lectures on Discrete Time Filtering by : R.S. Bucy

Download or read book Lectures on Discrete Time Filtering written by R.S. Bucy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear discrete time filtering started with a paper by Kol mogorov in 1941. He addressed the problem for stationary random se quences and introduced the idea of the innovations process, which is a useful tool for the more general problems considered here. The reader may object and note that Gauss discovered least squares much earlier; however, I want to distinguish between the problem of parameter estimation, the Gauss problem, and that of Kolmogorov estimation of a process. This sep aration is of more than academic interest as the least squares problem leads to the normal equations, which are numerically ill conditioned, while the process estimation problem in the linear case with appropriate assumptions leads to uniformly asymptotically stable equations for the estimator and the gain. The conditions relate to controlability and observability and will be detailed in this volume. In the present volume, we present a series of lectures on linear and nonlinear sequential filtering theory. The theory is due to Kalman for the linear colored observation noise problem; in the case of white observation noise it is the analog of the continuous-time Kalman-Bucy theory. The discrete time filtering theory requires only modest mathematical tools in counterpoint to the continuous time theory and is aimed at a senior-level undergraduate course. The present book, organized by lectures, is actually based on a course that meets once a week for three hours, with each meeting constituting a lecture.

Fast Fourier Transform - Algorithms and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1402066295
Total Pages : 437 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Fast Fourier Transform - Algorithms and Applications by : K.R. Rao

Download or read book Fast Fourier Transform - Algorithms and Applications written by K.R. Rao and published by Springer Science & Business Media. This book was released on 2011-02-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics. This book provides thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.

Multidimensional Discrete Unitary Transforms

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Publisher : CRC Press
ISBN 13 : 9780824745967
Total Pages : 550 pages
Book Rating : 4.7/5 (459 download)

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Book Synopsis Multidimensional Discrete Unitary Transforms by : Artyom M. Grigoryan

Download or read book Multidimensional Discrete Unitary Transforms written by Artyom M. Grigoryan and published by CRC Press. This book was released on 2003-07-31 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 selection and development in real-world applications, the book contains a wide range of examples to compare the efficacy of different algorithms in a variety of one-, two-, and three-dimensional cases. Multidimensional Discrete Unitary Transforms builds progressively from simple representative cases to higher levels of generalization.

Distributed Detection and Data Fusion

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Publisher : Springer Science & Business Media
ISBN 13 : 1461219043
Total Pages : 286 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Distributed Detection and Data Fusion by : Pramod K. Varshney

Download or read book Distributed Detection and Data Fusion written by Pramod K. Varshney and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introductory treatment of the fundamentals of decision-making in a distributed framework. Classical detection theory assumes that complete observations are available at a central processor for decision-making. More recently, many applications have been identified in which observations are processed in a distributed manner and decisions are made at the distributed processors, or processed data (compressed observations) are conveyed to a fusion center that makes the global decision. Conventional detection theory has been extended so that it can deal with such distributed detection problems. A unified treatment of recent advances in this new branch of statistical decision theory is presented. Distributed detection under different formulations and for a variety of detection network topologies is discussed. This material is not available in any other book and has appeared relatively recently in technical journals. The level of presentation is such that the hook can be used as a graduate-level textbook. Numerous examples are presented throughout the book. It is assumed that the reader has been exposed to detection theory. The book will also serve as a useful reference for practicing engineers and researchers. I have actively pursued research on distributed detection and data fusion over the last decade, which ultimately interested me in writing this book. Many individuals have played a key role in the completion of this book.

Mathematics of Multidimensional Fourier Transform Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461219485
Total Pages : 193 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics of Multidimensional Fourier Transform Algorithms by : Richard Tolimieri

Download or read book Mathematics of Multidimensional Fourier Transform Algorithms written by Richard Tolimieri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing algorithms for multi-dimensional Fourier transforms, this book presents results that yield highly efficient code on a variety of vector and parallel computers. By emphasising the unified basis for the many approaches to both one-dimensional and multidimensional Fourier transforms, this book not only clarifies the fundamental similarities, but also shows how to exploit the differences in optimising implementations. It will thus be of great interest not only to applied mathematicians and computer scientists, but also to seismologists, high-energy physicists, crystallographers, and electrical engineers working on signal and image processing.

Algebraic Methods for Signal Processing and Communications Coding

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Publisher : Springer Science & Business Media
ISBN 13 : 1461228263
Total Pages : 150 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic Methods for Signal Processing and Communications Coding by : Richard E. Blahut

Download or read book Algebraic Methods for Signal Processing and Communications Coding written by Richard E. Blahut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Electromagnetic Devices for Motion Control and Signal Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 1461229286
Total Pages : 479 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Electromagnetic Devices for Motion Control and Signal Processing by : Yuly M. Pulyer

Download or read book Electromagnetic Devices for Motion Control and Signal Processing written by Yuly M. Pulyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to electrical and mechanical engineers involved with the design of magnetic devices for motion con trol and other instrumentation that uses magnetic principles and technology. It can be of benefit to graduate and postgrad uate students to gain experience with electro-magnetic princi ples and also with different aspects of magnetic coupling mech anisms and magnetic circuitry analysis for the design of devices such as electrical servo motors, tachogenerators, encoders, gyro magnetic suspension systems, electro-magnetic strip lines, and other electro-magnetic instruments. The rapidly growing areas of production automation, robotics, precise micro-electronics, and pilot navigation place demands on motion control technology in terms of accuracy, reliability, cost effectiveness, and miniaturization. New ferromagnetic materials having quasi-linear and non-linear high-squareness characteris tics as well as high-energy permanent magnets, fine lithography, and high-t.emperature superconductivit.y (t.o be expected com mercially) motivate the implementation of new motion control components that exploit these new materials and technologies. This book presents classical miniature electrical machine de signs as well as several modifications in the geometry of mag netic couplings which lead to new motor and encoder design methodologies and other motion control devices such as new coil deposition patterns for incremental and absolute encoders, free spherical gyro suspension in a traveling magnetic field for navigation instrumentation, and magnetic strip lines in combi nation with resistive and capacitive media to generate a variety of low-noise LC filters and other signal processing devices.

The Transform and Data Compression Handbook

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Publisher : CRC Press
ISBN 13 : 1420037382
Total Pages : 408 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Transform and Data Compression Handbook by : Kamisetty Ramam Rao

Download or read book The Transform and Data Compression Handbook written by Kamisetty Ramam Rao and published by CRC Press. This book was released on 2018-10-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.