Evaluation of complex elementary functions: a new version of BKM

  • Bajard J
  • Imbert L
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Abstract

We present an improvement of BKM: a shift-and-add algorithm based on the CORDIC that allows fast computation of complex exponential and logarithm functions. BKM is accelerated by the use of a redundant binary number system. Unlike the previous redundant CORDIC methods, we do not need neither to calculate the scale factor (luring the computation, nor to double the number of iterations. So our algorithm is suitable for an efficient hardware implementation.

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Bajard, J.-C., & Imbert, L. (1999). Evaluation of complex elementary functions: a new version of BKM. In Advanced Signal Processing Algorithms, Architectures, and Implementations IX (Vol. 3807, pp. 2–9). SPIE. https://doi.org/10.1117/12.367631

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