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Algorithms for Discrete Fourier Transform & Convolution

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Algorithms for Discrete Fourier Transform & Convolution Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

Review of Applied Algebra.- Tensor Product and Stride Permutation.- Cooley-Tukey FFT Algorithms.- Variants of FT Algorithms and Implementations.- Good-Thomas PFA.- Linear and Cyclic Convolutions.- Agrawal-Cooley Convolution Algorithm.- Multiplicative Fourier Transform Algorithm.- MFTA: The Prime case.- MFTA: Product of Two Distinct Primes.- MFTA: Composite Size.- MFTA: p2.- Periodization and Decimation.- Multiplicative Characters and the FT.- Rationality.

Product Details

ISBN:
9780387982618
Author:
Tolimieri, Richard
Publisher:
Springer
Author:
An, Myoung
Author:
Lu, Chao
Location:
New York, NY
Subject:
Engineering - Electrical & Electronic
Subject:
Engineering - General
Subject:
Calculus
Subject:
Digital filters (mathematics)
Subject:
Fourier transformations
Subject:
Electricity
Subject:
Fourier transformations -- Data processing.
Subject:
Engineering, general This book provides a broad view of the latest developments in the field of fast digital signal processing algorithms. It thus serves both as a textbook for graduate courses and as a reference book of algorithms for signal processing.
Subject:
Mathematics-Calculus
Subject:
General Technology
Subject:
Engineering
Subject:
Language, literature and biography
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 1997
Series:
Signal Processing and Digital Filtering
Publication Date:
October 1997
Binding:
HARDCOVER
Language:
English
Illustrations:
44 schw.-w. Tab.
Pages:
279
Dimensions:
235 x 155 mm 1270 gr

Related Subjects

Engineering » Engineering » General Engineering
Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Algorithms for Discrete Fourier Transform & Convolution New Hardcover
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Product details 279 pages Springer-Verlag New York, Incorporated - English 9780387982618 Reviews:
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