Algorithms for discrete fourier transform and convolution [electronic resource] / Richard Tolimieri, Myoung An, Chao Lu ; C.S. Burrus, consulting editor.

This book provides a broad view of the latest developments in the field of fast Digital Signal Processing (DSP) algorithms. The purpose of this book is to offer a textbook for graduate courses and a reference book of DSP algorithms for those who are in the field of signal processing. It bridges the...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Tolimieri, Richard, 1940-
Other Authors: An, Myoung, Lu, Chao, 1959-
Format: Electronic eBook
Language:English
Published: New York : Springer-Verlag, ©1989.
Series:Signal processing and digital filtering.
Subjects:

MARC

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100 1 |a Tolimieri, Richard,  |d 1940-  |0 http://id.loc.gov/authorities/names/n88164030  |1 http://isni.org/isni/0000000110829216. 
245 1 0 |a Algorithms for discrete fourier transform and convolution  |h [electronic resource] /  |c Richard Tolimieri, Myoung An, Chao Lu ; C.S. Burrus, consulting editor. 
260 |a New York :  |b Springer-Verlag,  |c ©1989. 
300 |a 1 online resource (xv, 350 pages) 
336 |a text  |b txt  |2 rdacontent. 
337 |a computer  |b c  |2 rdamedia. 
338 |a online resource  |b cr  |2 rdacarrier. 
490 1 |a Signal Processing and Digital Filtering,  |x 1431-7893. 
504 |a Includes bibliographical references. 
505 0 |a 1. Introduction to Abstract Algebra -- 2. Tensor Product and Stride Permutation -- 3. Cooley-Tukey FFF Algorithms -- 4. Variants of FFT Algorithms and Their Implementations -- 5. Good-Thomas PFA -- 6. Linear and Cyclic Convolution -- 7. Agarwal-Cooley Convolution Algorithm -- 8. Introduction to Multiplicative Fourier Transform Algorithms (MFTA) -- 9. MFTA: The Prime Case -- 10. MFTA: Product of Two Distinct Primes -- 11. MFTA: Transform Size N = Mr M-Composite Integer and r-Prime -- 12. MFTA: Transform Size N = p2 -- 13. Periodization and Decimation -- 14. Multiplicative Character and the FFT -- 15. Rationality. 
520 |a This book provides a broad view of the latest developments in the field of fast Digital Signal Processing (DSP) algorithms. The purpose of this book is to offer a textbook for graduate courses and a reference book of DSP algorithms for those who are in the field of signal processing. It bridges the gap between DSP algorithms and their implementation on a variety of serial and super comput- ers. The mathematical concept of tensor product can be matched to machine implementation, and the tensor product formulation of DSP algorithms provides computer implementation options. Modifications of Winograd FFT algorithms are presented with a diversity of arithmetic (multiplications and additions) choices. The methods of tensor product formulation of DSP algorithms and multiplicative algorithms for different transform sizes are all new. The method of presenting an algorithm by its algebra structure which matches the computer architecture is a highlight of this text and makes the computer architecture easily accessible to both students and researchers. 
588 0 |a Print version record. 
650 0 |a Fourier transformations  |x Data processing. 
650 0 |a Convolutions (Mathematics)  |x Data processing. 
650 0 |a Digital filters (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85037977. 
650 7 |a Convolutions (Mathematics)  |x Data processing.  |2 fast  |0 (OCoLC)fst00877312. 
650 7 |a Digital filters (Mathematics)  |2 fast  |0 (OCoLC)fst00893686. 
650 7 |a Fourier transformations  |x Data processing.  |2 fast  |0 (OCoLC)fst00933415. 
700 1 |a An, Myoung.  |0 http://id.loc.gov/authorities/names/n88164031  |1 http://isni.org/isni/0000000115756693. 
700 1 |a Lu, Chao,  |d 1959-  |0 http://id.loc.gov/authorities/names/n88164032  |1 http://isni.org/isni/0000000117698706. 
776 0 8 |i Print version:  |a Tolimieri, Richard, 1940-  |t Algorithms for discrete fourier transform and convolution.  |d New York : Springer-Verlag, ©1989  |w (DLC) 89021692  |w (OCoLC)20261956. 
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