# Book: Fast Fourier Transforms (Burrus)

- Page ID
- 1950

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 important and exciting.

- 1: Fast Fourier Transforms
- 2: Multidimensional Index Mapping
- 3: Polynomial Description of Signals
- 4: The DFT as Convolution or Filtering
- 5: Factoring the Signal Processing Operators
- 6: Winograd's Short DFT Algorithms
- 7: DFT and FFT - An Algebraic View
- 8: The Cooley-Tukey Fast Fourier Transform Algorithm
- 9: The Prime Factor and Winograd Fourier Transform Algorithms
- 10: Implementing FFTs in Practice
- 11: Algorithms for Data with Restrictions
- 12: Convolution Algorithms
- 13: Comments and Conclusion
- 14: Appendix