MFTA: Product of Two Distinct Primes

  • R. Tolimieri
  • Myoung An
  • Chao Lu
Part of the Signal Processing and Digital Filtering book series (SIGNAL PROCESS)


The results of chapter 9 will now be extended to the case of transform size N, N a product of two distinct primes. As mentioned in the general introduction to multiplicative FT algorithms, several approaches exist for combining small size FT algorithms into medium or large size FT algorithms by the Good-Thomas FT algorithms. Our approach emphasizes and is motivated by the results of chapter 9. By employing tensor product rules to a generalization of Rader’s multiplicative FT algorithms, we derive the fundamental factorization
$$F\pi =CA$$
where C is a block-diagonal matrix having skew-circulant blocks (rotated Winograd cores) and tensor products of these skew-circulant blocks and A is a matrix of pre-additions, all of whose entries are 0, 1 or −1. Variants will then be derived.


Tensor Product Discrete Fourier Transform Unit Group Fundamental Factorization Zero Divisor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • R. Tolimieri
    • 1
  • Myoung An
    • 1
  • Chao Lu
    • 1
  1. 1.Center for Large Scale ComputingCity University of New YorkNew YorkUSA

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