Cyclotomic FFTs With Reduced Additive Complexities Based on a Novel Common Subexpression Elimination Algorithm

@article{Chen2009CyclotomicFW,
  title={Cyclotomic FFTs With Reduced Additive Complexities Based on a Novel Common Subexpression Elimination Algorithm},
  author={Ning Chen and Zhiyuan Yan},
  journal={IEEE Transactions on Signal Processing},
  year={2009},
  volume={57},
  pages={1010-1020}
}
In this paper, we first propose a novel common subexpression elimination (CSE) algorithm for matrix-vector multiplications over characteristic-2 fields. As opposed to previously proposed CSE algorithms, which usually focus on complexity savings due to recurrences of subexpressions, our CSE algorithm achieves two types of complexity reductions, differential savings and recurrence savings, by taking advantage of the cancellation property of characteristic-2 fields. Using our CSE algorithm, we… CONTINUE READING
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