Design and Implementation of a Novel Entirely Covered K 2 CORDIC

The conventional Coordinate Rotation Digital Computer (CORDIC) algorithm has been widely applied in many aspects, whereas it is restricted by the convergence range of the rotation angle, which need use pre-processing and post-processing units to control the quadrant of the angle. This paper proposes a novel CORDIC architecture which covers the entire coordinate space, no further more pre-processing and post-processing modules will be required. Compared with the conventional CORDIC, the Bit Error Position (BEP) of the proposed architecture has been improved, which exceeds the conventional CORDIC 2 bits. In the mean time, both of the mean errors and the hardware overhead are reduced, and the speed accelerates 35%. The proposed k 2 CORDIC architecture has been validated on the Xilinx ML505 FPGA development platform, which has been well applied in Direct Digital Frequency Synthesizer (DDS) and Fast Fourier Transform (FFT).