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    Fast Fourier Transforms by Burrus, C. Sidney

    Published 2012
    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…”
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