【文件属性】：
文件名称：Fast Fourier Transforms书
文件大小：246KB
文件格式：PDF
更新时间：2013-09-15 02:41:32
FFT
Table of Contents
1 Preface: Fast Fourier Transforms ................................................ 1
2 Introduction: Fast Fourier Transforms .......................................... .5
3 Multidimensional Index Mapping ............................................... 7
4 Polynomial Description of Signals .............................................. 21
5 The DFT as Convolution or Filtering .......................................... 27
6 Factoring the Signal Processing Operators .................................... 39
7 Winograd's Short DFT Algorithms ............................................ 43
8 DFT and FFT: An Algebraic View ............................................. 6.5
9 The Cooley-Tukey Fast Fourier Transform Algorithm ........................ 79
10 The Prime Factor and Winograd Fourier Transform Algo
rithms.......................................................................... 97
11 Implementing FFTs in Practice .............................................. 109
12 Algorithms for Data with Restrictions ....................................... 137
13 Convolution Algorithms ....................................................... 139
14 Comments: Fast Fourier Transforms ......................................... 1.53
15 Conclusions: Fast Fourier Transforms ....................................... 1.57
16 Appendix 1: FFT Flowgraphs ................................................ 1.59
17 Appendix 2: Operation Counts for General Length FFT .................. 16.5
18 Appendix 3: FFT Computer Programs ...................................... 167
19 Appendix 4: Programs for Short FFTs ...................................... 207
Bibliography....................................................................... 210
Index............................................................................... 242
Attributions........................................................................244