Fast Fourier Transforms
This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them...
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| Format: | Electronic eBook |
| Language: | English |
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[Place of publication not identified]
OpenStax CNX
[2012]
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- 1 Preface: Fast Fourier Transforms
- 2 Introduction: Fast Fourier Transforms
- 3 Multidimensional Index Mapping
- 4 Polynomial Description of Signals
- 5 The DFT as Convolution or Filtering
- 6 Factoring the Signal Processing Operators
- 7 Winograd's Short DFT Algorithms
- 8 DFT and FFT: An Algebraic View
- 9 The Cooley-Tukey Fast Fourier Transform Algorithm
- 10 The Prime Factor and Winograd Fourier Transform Algorithms
- 11 Implementing FFTs in Practice
- 12 Algorithms for Data with Restrictions
- 13 Convolution Algorithms
- 14 Comments: Fast Fourier Transforms
- 15 Conclusions: Fast Fourier Transforms
- 16 Appendix 1: FFT Flowgraphs
- 17 Appendix 2: Operation Counts for General Length FFT
- 18 Appendix 3: FFT Computer Programs
- 19 Appendix 4: Programs for Short FFTs