Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Fast Polynomial Transforms
Download Fast Polynomial Transforms full books in PDF, epub, and Kindle. Read online Fast Polynomial Transforms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Fast Polynomial Transforms by : Jens Keiner
Download or read book Fast Polynomial Transforms written by Jens Keiner and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical orthogonal polynomials and the related associated functions are real classics in approximation theory. They share a rich history of research that has uncovered their many relationships to topics of fundamental importance. This text develops a new aspect of the so-called connection problem. This problem asks how a given expansion in a specific sequence of polynomials or functions may be converted into an equivalent one using a different sequence - often within reason, that is, within the same classical family. A new theory relates this problem to the class of semiseparable matrices. This implies efficient algorithms that have the capacity to cover the connection problem not only numerically efficient, but at the same time, numerically stable. The result has implications for numerical problems whose treatment involves these transformations. One such example, described in more detail, are generalizations of the fast Fourier transform to geometries like the two-sphere or the rotation group SO(3).
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.
Book Synopsis Fast Polynomial Operations Using the Fast Fourier Transform by : Richard J. Bonneau
Download or read book Fast Polynomial Operations Using the Fast Fourier Transform written by Richard J. Bonneau and published by . This book was released on 1974 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Polynomial Operations Using the Fast Fourier Transform by : Richard Joseph Bonneau
Download or read book Fast Polynomial Operations Using the Fast Fourier Transform written by Richard Joseph Bonneau and published by . This book was released on 1974 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Polynomial Transform and Its Implementation by Computer by : Irving S. Reed
Download or read book Fast Polynomial Transform and Its Implementation by Computer written by Irving S. Reed and published by . This book was released on 1980 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Frameworks for the Fast Fourier Transform by : Charles Van Loan
Download or read book Computational Frameworks for the Fast Fourier Transform written by Charles Van Loan and published by SIAM. This book was released on 1992-01-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author captures the interplay between mathematics and the design of effective numerical algorithms.
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.
Book Synopsis Efficient Stabilization Methods for Fast Polynomial Transforms by : Sean S. B. Moore
Download or read book Efficient Stabilization Methods for Fast Polynomial Transforms written by Sean S. B. Moore and published by . This book was released on 1994 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Fast Fourier Transform by : E. Oran Brigham
Download or read book The Fast Fourier Transform written by E. Oran Brigham and published by Prentice Hall. This book was released on 1974 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourier transform; Fourier transform properties; Convolution and correlation; Fourier series and sampled waveforms; The discrete fourier transform; Discrete convolutiion and correlation; Applying the discrete fourier transform.
Book Synopsis Fast and approximate computation of Laplace and Fourier transforms by : Ines Melzer
Download or read book Fast and approximate computation of Laplace and Fourier transforms written by Ines Melzer and published by Logos Verlag Berlin GmbH. This book was released on 2016-03-20 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we treat the computation of transforms with asymptotically smooth and oscillatory kernels. We introduce the discrete Laplace transform in a modern form including a generalization to more general kernel functions. These more general kernels lead to specific function transforms. Moreover, we treat the butterfly fast Fourier transform. Based on a local error analysis, we develop a rigorous error analysis for the whole butterfly scheme. In the final part of the thesis, the Laplace and Fourier transform are combined to a fast Fourier transform for nonequispaced complex evaluation nodes. All theoretical results on accuracy and computational complexity are illustrated by numerical experiments.
Book Synopsis Fast Fourier Transforms by : C. Sidney Burrus
Download or read book Fast Fourier Transforms written by C. Sidney Burrus and published by Lulu.com. This book was released on 2012-11-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
Book Synopsis Fast Algorithm for Discrete Polynomial Transforms by : D. Potts
Download or read book Fast Algorithm for Discrete Polynomial Transforms written by D. Potts and published by . This book was released on 1996 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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 . This book was released on 1982-09-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Algorithms for Discrete Polynomial Transforms by : Daniel Potts
Download or read book Fast Algorithms for Discrete Polynomial Transforms written by Daniel Potts and published by . This book was released on 1996 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Polynomial Exponentiation by : Richard Joseph Bonneau
Download or read book Polynomial Exponentiation written by Richard Joseph Bonneau and published by . This book was released on 1973 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
