Design of approximate Booth multipliers based on error compensation

Abstract

With the rapid development of the Internet of Things, terminal equipment is greatly restricted in hardware resources and power supply. Therefore, there is an urgent need for new low-power computing units. Aiming at the problem of high power consumption of the arithmetic unit, a low-power approximate Booth multiplier based on complementary error is proposed. Among them, the new Booth encoder will produce positive errors and the approximate Wallace tree structure will produce negative errors. The mutual compensation of the two errors can improve the accuracy of the approximate Booth multiplier to a certain extent. The experimental results show that, compared with the existing multipliers, the proposed approximate Booth multiplier reduces the power consumption by 20.62% and the delay by 14.45%, saving 19.68% of the area. At the same time, its normalized average error distance is better than the existing approximate multiplier. Finally, the results of image filtering verify the practicality of the proposed approximate Booth multiplier.