Accurate piecewise uniform approximation logarithmic/antilogarithmic converters for GPU applications
Dina Mohamed Ellaithy, Magdy Ali El-Moursy, Ghada Hamdy, Amal Zaki, Abdelhalim Zekry · 2017
Logarithmic number system (LNS) is increasingly used for low power arithmetic calculations in graphical processing unit (GPU). LNS requires less hardware. Based on uniform subdivisions and linear-Lagrange interpolation, a novel 8-subdivisions logarithmic/antilogarithmic converters are proposed. Compared with different methodologies, the proposed logarithmic/antilogarithmic converters achieve high accuracy. Also, a significant decrease in area is presented in the comparison between the proposed converters and the prior ones. Hardware implementation using shift-and-add approach is adopted to further simplify the hardware. The novel logarithmic/antilogarithmic converters are implemented and synthesized using 90 nm CMOS technology. Up to 23% and 11% decrease in relative error and area are achieved.