Download the fantastic book titled Fast Fourier Transform and Convolution Algorithms written by H.J. Nussbaumer, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Fast Fourier Transform and Convolution Algorithms", which was released on 08 March 2013. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Fast Fourier Transform and Convolution Algorithms by H.J. Nussbaumer PDF
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.
Detail About Fast Fourier Transform and Convolution Algorithms PDF
- Author : H.J. Nussbaumer
- Publisher : Springer Science & Business Media
- Genre : Mathematics
- Total Pages : 260 pages
- ISBN : 3662005514
- Release Date : 08 March 2013
- PDF File Size : 17,5 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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