Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm

LIU Xiao-ning; XIE Yi-zhuang; CHEN He; LI Bing-yi

doi:10.3969/j.issn.0372-2112.2018.02.032

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Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm

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- Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm
- Acta Electronica Sinica Vol. 46, Issue 2, Pages: 495-500(2018)
- 作者机构：
  
  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
  3. 航天东方红卫星有限公司,北京,100094
  4. 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
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2018.02.032
  CLC： TN331
- Published Online：25 February 2018，
  
  Published：2018
- 稿件说明：
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LIU Xiao-ning, XIE Yi-zhuang, CHEN He, et al. Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm[J]. Acta Electronica Sinica, 2018, 46(2): 495-500.
DOI：

LIU Xiao-ning, XIE Yi-zhuang, CHEN He, et al. Improvement and Implementation of Multi-mode Architecture for CORDIC Algorithm[J]. Acta Electronica Sinica, 2018, 46(2): 495-500. DOI： 10.3969/j.issn.0372-2112.2018.02.032.

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.

Abstract

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 algorithm 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 realized. 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.

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