Efficient second-order approximations for reciprocals and square roots

Details Efficient second-order approximations for reciprocals and square roots Efficient second-order approximations for reciprocals and square roots

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807...10w&link_type=abstract

Proc. SPIE Vol. 3807, p. 10-18, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk; E

Physics

Scientific paper

This paper presents a high-speed method for approximating reciprocals and square roots. This method is based on piecewise second-order Taylor expansion, yet it requires one third as many coefficients and has less delay. It can be implemented using a table lookup, a multiplication and a merged operation, which has approximately the same area and delay as a multiplication. The table lookup and merged operation are independent and can be performed in parallel. To reduce the overall hardware requirements, this method can share hardware with an existing multiplier.

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