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A new technique for WFTA input/output reordering

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Abstract

The Winograd Fourier transform algorithm (WFTA) is receiving intensive study. The advantage of this class of transform is its potential high throughput due to reduced multiplication count. However, both input and output reorderings have to be performed when the algorithm is implemented. In this work, a technique for the WFTA input/output reorderings is developed. This technique is flexible to the choice of the base numbers of WFTA and capable of operating at high speed in digital hardware. This technique requires no extra memory for reordering when implementing the WFTA in the residue number system if the moduli set of RNS is carefully chosen to contain the base numbers of WFTA.

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References

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Author information

Authors and Affiliations

  1. Lockheed Palo Alto Research Laboratory, Lockheed Missiles & Space Company, Inc., 94304, Palo Alto, California

    Chao H. Huang

  2. Department of Electrical and Computer Engineering, University of Cincinnati, 45221, Cincinnati, Ohio

    Fred J. Taylor

Authors
  1. Chao H. Huang
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  2. Fred J. Taylor
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Additional information

This work was supported in part under AFOSR Grant F49620-79-C-0066 and Lockheed Independent Research Funds.

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Huang, C.H., Taylor, F.J. A new technique for WFTA input/output reordering. International Journal of Computer and Information Sciences 10, 27–37 (1981). https://doi.org/10.1007/BF00978376

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  • DOI: https://doi.org/10.1007/BF00978376

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