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FPL
2004
Springer

Second Order Function Approximation Using a Single Multiplication on FPGAs

14 years 4 months ago
Second Order Function Approximation Using a Single Multiplication on FPGAs
Abstract. This paper presents a new scheme for the hardware evaluation of elementary functions, based on a piecewise second order minimax approximation. The novelty is that this evaluation requires only one small rectangular multiplication. Therefore the resulting architecture combines a small table size, thanks to second-order evaluation, with a short critical path: Consisting of one table lookup, the rectangular multiplication, and one addition, the critical path is shorter than that of a plain first-order evaluation. Synthesis results for several functions show that this method outperforms all the previously published methods in both area and speed for precisions ranging from 12 to 24 bits and over.
Jérémie Detrey, Florent de Dinechin
Added 01 Jul 2010
Updated 01 Jul 2010
Type Conference
Year 2004
Where FPL
Authors Jérémie Detrey, Florent de Dinechin
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