Area-energy efficient CORDICs using new elementary-angle-set and base-2 exponent expansions scheme

Abstract

Area-Energy efficient CORDICs are presented. The proposed CORDICs adopt a new Elementary-Angle-Set, based on which the elementary angle composition of input angle can be directly determined without angle recoding, and the Angle-Set ensures the directions of vector micro-rotation are deterministic anti-clockwise in first quadrant. Based on the Angle-Set, elements sin and cos of rotation matrices are expanded into exponential expressions with base-2, which are convenient to circuit implementation. To improve calculation accuracy, initial values of rotation vectors are added with fixed offsets to pre-compensate the scaling-free expansions errors. Implemented in multiple FPGA devices and CMOS processes, the CORDICs achieve the lowest resource consumption, the least number of stages and the best energy-efficiency compared with other state-of-the-art works.