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Computational Frameworks for the Fast Fourier Transform
Abstract
1. The Radix-2 Frameworks. Matrix Notation and Algorithms The FFT Idea The Cooley-Tukey Factorization Weight and Butterfly Computations Bit Reversal and Transposition The Cooley-Tukey Framework The Stockham Autosort Frameworks The Pease Framework Decimation in Frequency and Inverse FFTs 2. General Radix Frameworks. The General Radix Ideas Index Reversal and Transposition Mixed-Radix Factorizations Radix-4 and Radix-8 Frameworks The Split-Radix Frameworks 3. High Performance Frameworks. The Multiple DFT Problem Matrix Transposition The Large Single-Vector FFT Problem Multi-Dimensional FFT Problem Distributed Memory FFTs Shared Memory FFTs 4. Selected Topics. Prime Factor FFTs Convolution FFTs of Real Data Cosine and Sine Transforms Fast Poisson Solvers Bibliography Index.
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Cited by
Shi, J., & Tomasi (1994) · Proceedings of IEEE Conference on Computer Vision and Pattern Recognition CVPR-94 · doi:10.1109/cvpr.1994.323794 · Cited by 7,724
The Design and Implementation of FFTW3
Frigo, M., & Johnson, S. G. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840301 · Cited by 5,086
SPIRAL: Code Generation for DSP Transforms
Puschel, M., Moura, J. M. F., Johnson, J. R., Padua, D., Veloso, M. M., Singer, B. W., Xiong, J., Franchetti, F., Gacic, A., Voronenko, Y., et al. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840306 · Cited by 826
Conjugate Gradient Methods for Toeplitz Systems
Chan, R. H., & Ng, M. K. (1996) · SIAM Review · doi:10.1137/s0036144594276474 · Cited by 801
A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
Phillips, J. R., & White, J. K. (1997) · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · doi:10.1109/43.662670 · Cited by 722
Metadata
- Authors
- Van Loan, C.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 1992-01
- OpenAlex
- W2134572726
- Cited by
- 1,283
- References
- 0
- FWCI
- 5.83
- Type
- book
- Language
- en
- Open access
- closed
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