Fast Algorithms for Signal Processing

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139487957
Total Pages : 469 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fast Algorithms for Signal Processing by : Richard E. Blahut

Download or read book Fast Algorithms for Signal Processing written by Richard E. Blahut and published by Cambridge University Press. This book was released on 2010-06-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efficient signal processing algorithms are important for embedded and power-limited applications since, by reducing the number of computations, power consumption can be reduced significantly. Similarly, efficient algorithms are also critical to very large scale applications such as video processing and four-dimensional medical imaging. This self-contained guide, the only one of its kind, enables engineers to find the optimum fast algorithm for a specific application. It presents a broad range of computationally-efficient algorithms, describes their structure and implementation, and compares their relative strengths for given problems. All the necessary background mathematics is included and theorems are rigorously proved, so all the information needed to learn and apply the techniques is provided in one convenient guide. With this practical reference, researchers and practitioners in electrical engineering, applied mathematics, and computer science can reduce power dissipation for low-end applications of signal processing, and extend the reach of high-end applications.

Transforms and Fast Algorithms for Signal Analysis and Representations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817682201
Total Pages : 439 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Transforms and Fast Algorithms for Signal Analysis and Representations by : Guoan Bi

Download or read book Transforms and Fast Algorithms for Signal Analysis and Representations written by Guoan Bi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fast Algorithms for 3D-Graphics

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Publisher : Springer
ISBN 13 : 366225798X
Total Pages : 316 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Fast Algorithms for 3D-Graphics by : Georg Glaeser

Download or read book Fast Algorithms for 3D-Graphics written by Georg Glaeser and published by Springer. This book was released on 2013-12-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a variety of algoritbms are described that may be of interest to everyone who writes software for 3D-graphics. It is a book that haB been written for programmers at an intermediate level as well aB for experienced software engineers who simply want to have some particular functions at their disposal, without having to think too much about details like special cases or optimization for speed. The programming language we use is C, and that has many advantages, because it makes the code both portable and efficient. Nevertheless, it should be possible to adapt the ideas to other high-level programming languages. The reader should have a reasonable knowledge of C, because sophisticated pro grams with economical storage household and fast sections cannot be written without the use of pointers. You will find that in the long run it is just aB easy to work with pointer variables as with multiple arrays . .Aß the title of the book implies, we will not deal with algorithms that are very computation-intensive such as ray tracing or the radiosity method. Furthermore, objects will always be (closed or not closed) polyhedra, which consist of a certain number of polygons.

Fast Algorithms for Structured Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831771
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fast Algorithms for Structured Matrices by : Vadim Olshevsky

Download or read book Fast Algorithms for Structured Matrices written by Vadim Olshevsky and published by American Mathematical Soc.. This book was released on 2003 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

Fast Transforms Algorithms, Analyses, Applications

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Publisher : Elsevier
ISBN 13 : 0080918069
Total Pages : 511 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Fast Transforms Algorithms, Analyses, Applications by : Douglas F. Elliott

Download or read book Fast Transforms Algorithms, Analyses, Applications written by Douglas F. Elliott and published by Elsevier. This book was released on 1983-03-09 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

Fast Algorithms for 3D-Graphics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461226643
Total Pages : 315 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Fast Algorithms for 3D-Graphics by : Georg Glaeser

Download or read book Fast Algorithms for 3D-Graphics written by Georg Glaeser and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrating the use of C, with stress on portability and speed, this book provides a mathematical background to techniques in computer graphics, before going on to develop a graphics program in C implementing these techniques. As a result, both students and professionals will find this presentation gives them a thorough understanding of the most fundamental algorithms in graphics programming, as well as providing them with a usable graphics package. Georg Glaeser covers such hot topics as hidden surfaces, shadows, reflections, patterns, and modelling curves and surfaces. Readers are assumed to be moderately familiar with programming, although all type definitions, global variables, and macros are thoroughly described prior to their first applications.

Fast Algorithms for the Digital Computation of Linear Canonical Transforms

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Author :
Publisher : Stanford University
ISBN 13 :
Total Pages : 173 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fast Algorithms for the Digital Computation of Linear Canonical Transforms by : Aykut Koc

Download or read book Fast Algorithms for the Digital Computation of Linear Canonical Transforms written by Aykut Koc and published by Stanford University. This book was released on 2011 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although it is straightforward to determine the relationship between the in-focus image and the object of a simple optical system such as a lens, it is far more challenging to compute the input/output relationships of general first-order and astigmatic optical systems. Such optical systems are known as quadratic-phase systems (QPS) and they include the Fresnel propagation in free space, propagation in graded-index media, passage through thin lenses, and arbitrary concatenations of any number of these, including anamorphic, astigmatic, nonorthogonal elements. Such computation is accomplished by representing the physical system with a general mathematical framework of integrations against kernels and then distilling the entire system into one input-output relationship that can be represented by a linear integral transform. The underlying mathematical integral transforms can be applied to a wider field of signal processing where they are known as the linear canonical transform (LCT) of a signal. Conventional numerical integration methods have a computational complexity of O(N^2) where N is the space-bandwidth product of the sampling scheme, e.g. the number of pixels in the field for an optical system. The algorithms described here yield a complexity of only O(Nlog N). The key is the use of different decompositions (or factorizations) of a given input/output relationship into simpler ones. Instead of following the general physical subparts in cascaded systems and computing input-output relations separately, these algorithms use the simplest possible decompositions to represent the entire system in terms of least possible number of steps. The algorithms are Fast Fourier Transform (FFT) based methods and the only essential deviation from exactness arises from approximating a continuous Fourier transform (FT) with the discrete Fourier transform (DFT). Thus the algorithms work with a performance similar to that of the fast Fourier transform algorithm in computing the Fourier transform, both in terms of speed and accuracy. Unlike conventional techniques these algorithms also track and control the space-bandwidth products, in order to achieve information that is theoretically sufficient but not wastefully redundant.

Fast and Efficient Algorithms in Computational Electromagnetics

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Publisher : Artech House Publishers
ISBN 13 : 9781580531528
Total Pages : 0 pages
Book Rating : 4.5/5 (315 download)

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Book Synopsis Fast and Efficient Algorithms in Computational Electromagnetics by : Weng Cho Chew

Download or read book Fast and Efficient Algorithms in Computational Electromagnetics written by Weng Cho Chew and published by Artech House Publishers. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here's a cutting-edge resource that brings you up-to-date with all the recent advances in computational electromagnetics. You get the most-current information available on the multilevel fast multipole algorithm in both the time and frequency domains, as well as the latest developments in fast algorithms for low frequencies and specialized structures, such as the planar and layered media. These algorithms solve large electromagnetics problems with shorter turn around time, using less computer memory.

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.

Fast Fourier Transform and Convolution Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3662005514
Total Pages : 260 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Fast Fourier Transform and Convolution Algorithms by : H.J. Nussbaumer

Download or read book Fast Fourier Transform and Convolution Algorithms written by H.J. Nussbaumer and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms. The book consists of eight chapters. The first two chapters are devoted to background information and to introductory material on number theory and polynomial algebra. This section is limited to the basic concepts as they apply to other parts of the book. Thus, we have restricted our discussion of number theory to congruences, primitive roots, quadratic residues, and to the properties of Mersenne and Fermat numbers. The section on polynomial algebra deals primarily with the divisibility and congruence properties of polynomials and with algebraic computational complexity. The rest of the book is focused directly on fast digital filtering and discrete Fourier transform algorithms. We have attempted to present these techniques in a unified way by using polynomial algebra as extensively as possible. This objective has led us to reformulate many of the algorithms which are discussed in the book. It has been our experience that such a presentation serves to clarify the relationship between the algorithms and often provides clues to improved computation techniques. Chapter 3 reviews the fast digital filtering algorithms, with emphasis on algebraic methods and on the evaluation of one-dimensional circular convolutions. Chapters 4 and 5 present the fast Fourier transform and the Winograd Fourier transform algorithm.

Clever Algorithms

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Publisher : Jason Brownlee
ISBN 13 : 1446785068
Total Pages : 437 pages
Book Rating : 4.4/5 (467 download)

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Book Synopsis Clever Algorithms by : Jason Brownlee

Download or read book Clever Algorithms written by Jason Brownlee and published by Jason Brownlee. This book was released on 2011 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a handbook of algorithmic recipes from the fields of Metaheuristics, Biologically Inspired Computation and Computational Intelligence that have been described in a complete, consistent, and centralized manner. These standardized descriptions were carefully designed to be accessible, usable, and understandable. Most of the algorithms described in this book were originally inspired by biological and natural systems, such as the adaptive capabilities of genetic evolution and the acquired immune system, and the foraging behaviors of birds, bees, ants and bacteria. An encyclopedic algorithm reference, this book is intended for research scientists, engineers, students, and interested amateurs. Each algorithm description provides a working code example in the Ruby Programming Language.

Algorithms and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3540241310
Total Pages : 951 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Algorithms and Computation by : Rudolf Fleischer

Download or read book Algorithms and Computation written by Rudolf Fleischer and published by Springer Science & Business Media. This book was released on 2004-12-03 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Symposium on Algorithms and Computation, ISAAC 2004, held in Hong Kong, China in December 2004. The 76 revised full papers presented were carefully reviewed and selected from 226 submissions. Among the topics addressed are computational geometry, graph computations, computational combinatorics, combinatorial optimization, computational complexity, scheduling, distributed algorithms, parallel algorithms, data structures, network optimization, randomized algorithms, and computational mathematics more generally.

Fast Fourier Transform and Convolution Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642818978
Total Pages : 286 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Fast Fourier Transform and Convolution Algorithms by : Henri J. Nussbaumer

Download or read book Fast Fourier Transform and Convolution Algorithms written by Henri J. Nussbaumer 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: In the first edition of this book, we covered in Chapter 6 and 7 the applications to multidimensional convolutions and DFT's of the transforms which we have introduced, back in 1977, and called polynomial transforms. Since the publication of the first edition of this book, several important new developments concerning the polynomial transforms have taken place, and we have included, in this edition, a discussion of the relationship between DFT and convolution polynomial transform algorithms. This material is covered in Appendix A, along with a presentation of new convolution polynomial transform algorithms and with the application of polynomial transforms to the computation of multidimensional cosine transforms. We have found that the short convolution and polynomial product algorithms of Chap. 3 have been used extensively. This prompted us to include, in this edition, several new one-dimensional and two-dimensional polynomial product algorithms which are listed in Appendix B. Since our book is being used as part of several graduate-level courses taught at various universities, we have added, to this edition, a set of problems which cover Chaps. 2 to 8. Some of these problems serve also to illustrate some research work on DFT and convolution algorithms. I am indebted to Mrs A. Schlageter who prepared the manuscript of this second edition. Lausanne HENRI J. NUSSBAUMER April 1982 Preface to the First Edition This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms.

Fast Parallel Algorithms for Graph Matching Problems

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Publisher : Oxford University Press
ISBN 13 : 9780198501626
Total Pages : 228 pages
Book Rating : 4.5/5 (16 download)

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Book Synopsis Fast Parallel Algorithms for Graph Matching Problems by : Marek Karpiński

Download or read book Fast Parallel Algorithms for Graph Matching Problems written by Marek Karpiński and published by Oxford University Press. This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The matching problem is central to graph theory and the theory of algorithms. This book provides a comprehensive and straightforward introduction to the basic methods for designing efficient parallel algorithms for graph matching problems. Written for students at the beginning graduate level, the exposition is largely self-contained and example-driven; prerequisites have been kept to a minimum by including relevant background material. The book contains full details of several new techniques and will be of interest to researchers in computer science, operations research, discrete mathematics, and electrical engineering. The main theoretical tools are presented in three independent chapters, devoted to combinatorial tools, probabilistic tools, and algebraic tools. One of the goals of the book is to show how these three approaches can be combined to develop efficient parallel algorithms. The book represents a meeting point of interesting algorithmic techniques and opens up new algebraic and geometric areas.

Fast Algorithms

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Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fast Algorithms by : Arnold Schönhage

Download or read book Fast Algorithms written by Arnold Schönhage and published by . This book was released on 1994 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fast Algorithms for Classical Network Problems

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Fast Algorithms for Classical Network Problems by : Yadollah Kewmars Mohammad-Makki

Download or read book Fast Algorithms for Classical Network Problems written by Yadollah Kewmars Mohammad-Makki and published by . This book was released on 1988 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms from THE BOOK

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Author :
Publisher : SIAM
ISBN 13 : 1611976170
Total Pages : 227 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Algorithms from THE BOOK by : Kenneth Lange

Download or read book Algorithms from THE BOOK written by Kenneth Lange and published by SIAM. This book was released on 2020-05-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms are a dominant force in modern culture, and every indication is that they will become more pervasive, not less. The best algorithms are undergirded by beautiful mathematics. This text cuts across discipline boundaries to highlight some of the most famous and successful algorithms. Readers are exposed to the principles behind these examples and guided in assembling complex algorithms from simpler building blocks. Written in clear, instructive language within the constraints of mathematical rigor, Algorithms from THE BOOK includes a large number of classroom-tested exercises at the end of each chapter. The appendices cover background material often omitted from undergraduate courses. Most of the algorithm descriptions are accompanied by Julia code, an ideal language for scientific computing. This code is immediately available for experimentation. Algorithms from THE BOOK is aimed at first-year graduate and advanced undergraduate students. It will also serve as a convenient reference for professionals throughout the mathematical sciences, physical sciences, engineering, and the quantitative sectors of the biological and social sciences.