A Modified Split-Radix FFT With Fewer Arithmetic Operations

@article{Johnson2007AMS,
  title={A Modified Split-Radix FFT With Fewer Arithmetic Operations},
  author={S. Johnson and M. Frigo},
  journal={IEEE Transactions on Signal Processing},
  year={2007},
  volume={55},
  pages={111-119}
}
  • S. Johnson, M. Frigo
  • Published 2007
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • Recent results by Van Buskirk have broken the record set by Yavne in 1968 for the lowest exact count of real additions and multiplications to compute a power-of-two discrete Fourier transform (DFT). Here, we present a simple recursive modification of the split-radix algorithm that computes the DFT with asymptotically about 6% fewer operations than Yavne, matching the count achieved by Van Buskirk's program-generation framework. We also discuss the application of our algorithm to real-data and… CONTINUE READING
    322 Citations

    Figures, Tables, and Topics from this paper

    " A RADIX-4/8/SPLIT RADIX FFT WITH REDUCED ARITHMETIC COMPLEXITY ALGORITHM"
    • Highly Influenced
    • PDF
    A new variant of Radix-4 FFT
    • M. Khan, Shaik A. Qadeer
    • Computer Science
    • 2016 Thirteenth International Conference on Wireless and Optical Communications Networks (WOCN)
    • 2016
    • 3
    The split-radix fast Fourier transforms with radix-4 butterfly units
    • Sian-Jheng Lin, Wei-Ho Chung
    • Mathematics, Computer Science
    • 2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference
    • 2013
    • 7
    • PDF
    The tangent FFT
    • PDF
    The Tangent FFT
    • 17
    • PDF
    Generating and Searching Families of FFT Algorithms
    • 6
    • Highly Influenced
    • PDF
    CORDIC based implementation of Fast Fourier Transform
    • Pooja Choudhary, A. Karmakar
    • Computer Science
    • 2011 2nd International Conference on Computer and Communication Technology (ICCCT-2011)
    • 2011
    • 17
    A unified expression for split-radix DFT algorithms
    • G. Bi, Gang Li, X. Li
    • Mathematics
    • 2010 International Conference on Communications, Circuits and Systems (ICCCAS)
    • 2010
    • 8

    References

    SHOWING 1-10 OF 57 REFERENCES
    On computing the split-radix FFT
    • 222
    Implementation of "Split-radix" FFT algorithms for complex, real, and real-symmetric data
    • P. Duhamel
    • Mathematics, Computer Science
    • IEEE Trans. Acoust. Speech Signal Process.
    • 1986
    • 211
    A new matrix approach to real FFTs and convolutions of length 2k
    • 44
    A new radix-2/8 FFT algorithm for length-q×2m DFTs
    • 44
    Modified FFTs for fused multiply-ADD architectures
    • 13
    • PDF
    `Split radix' FFT algorithm
    • 419
    • PDF
    The Design and Implementation of FFTW3
    • 4,281
    • PDF