多模式CORDIC算法结构改进与实现  

Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm

作　　者：刘小宁 谢宜壮[2] 陈禾[2] 李炳沂[2] 

机构地区：[1]航天东方红卫星有限公司,北京100094 [2]北京理工大学嵌入式实时信息处理技术北京市重点实验室,北京100081

出　　处：《电子学报》2018年第2期495-500,共6页Acta Electronica Sinica

基　　金：国家863高技术研究发展计划(No.2011AA120202);国家科技重大专项(No.D020205)

摘　　要：本文对计算反正余弦函数的CORDIC算法的迭代结构进行了改进,并在此基础上完成多模式CORDIC算法的实现.通过重新设定初始旋转向量避免了前两级迭代,通过修改向量旋转方向的判决条件对原算法的误差进行了校正,在增加了很少资源的情况下将正余弦运算和反正余弦运算统一到同样的迭代结构中并予以实现.实现结果表明改进后的算法反正余弦运算结果有更高的运算精度,在两种运算函数都需要的应用中能够有效减少的硬件资源占用.This paper improves the iterative structure of the CORDIC algorithm, and implements a multi-mode CORDIC algorithm. We reset the initial rotation to avoid the first two stage iterations and fix the error of the original algo- rithm by modify the judgment condition which determine the rotation direction of the vector. In the case of increasing few hardware resources, the sine, cosine, arcsine and arccosine operations are unified to the same iterative structure and be real- ized. The results show that the improved algorithm has higher accuracy and the hardware resources utilization can be effectively reduced in the application that need both of the two kinds of functions.

关 键 词：多模式 坐标旋转数字计算 双迭代法 三角函数 

分 类 号：TN331[电子电信—物理电子学]