一种改进双旋转CORDIC算法的反正余弦函数IP设计与实现  

Design and Implementation of Arcsine/Arccosine Function Based on an Improved CORDIC Algorithm with Double Rotations

作　　者：黄宝莹[1] 常胜[1] 黄启俊[1] 王豪[2] 

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072 [2]武汉大学微电子与信息技术研究院,湖北武汉430072

出　　处：《微电子学与计算机》2013年第12期146-150,共5页Microelectronics & Computer

基　　金：湖北省自然科学基金(2011CDB272)

摘　　要：针对传统CORDIC算法在计算反正余弦函数时存在的缺陷,提出了一种带有常量校正因子和部分方向预测的改进型双旋转CORDIC算法,采用MATLAB平台实现算法建模及定点仿真,并在FPGA上完成了流水线结构的IP设计.此IP核的速度达到192MHz,平均误差小于10-4.结果表明本算法IP比传统CORDIC算法平均误差小,比线性补偿方法速度快,采用流水线结构时比双旋转算法资源占用少.According to the defect of traditional CORDIC algorithm on calculating arcsine and arccosine function, an improved algorithm is proposed, which uses double rotations with a constant factor and partial direction prediction. The modeling and fixed-point simulation is implemented on MATLAB platform, while the hardware realization is done on FPGA with a pipeline structure. The speed of this IP core reaches 192 MHz and the average error is less than 10 4. This algorithm is of better precision than traditional CORD1C on average, higher speed than linear compensation. And it costs less resource than double rotations algorithm with pipeline structure.

关 键 词：CORDIC算法 双旋转 常量校正因子 反正余弦 定点仿真 

分 类 号：TP332.1[自动化与计算机技术—计算机系统结构]