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Issue No. 06 - June (2007 vol. 56)
ISSN: 0018-9340
pp: 826-838
This paper proposes an architecture and a synthesis method for high-speed computation of fixed-point numerical functions such as trigonometric, logarithmic, sigmoidal, square root, and combinations of these functions. Our architecture is based on the lookup table (LUT) cascade, which results in a significant reduction in circuit complexity compared to traditional approaches. This is suitable for automatic synthesis and we show a synthesis method that converts a Matlab-like specification into an LUT cascade design. Experimental results show the efficiency of our approach as implemented on a field-programmable gate array (FPGA).
LUT cascades, numerical function generators (NFGs), nonuniform segmentation, automatic synthesis, FPGA implementation.

S. Nagayama, T. Sasao and J. T. Butler, "Numerical Function Generators Using LUT Cascades," in IEEE Transactions on Computers, vol. 56, no. , pp. 826-838, 2007.
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