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

HUANG Bao-ying; CHANG Sheng; HUANG Qi-jun; WANG Hao

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

更新时间：2026-09-04

- Design and Implementation of Arcsine/Arccosine Function Based on an Improved CORDIC Algorithm with Double Rotations
- Vol. 30, Issue 12, Pages: 146-150(2013)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
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- Published：2013
- 稿件说明：
移动端阅览
黄宝莹, 常胜, 黄启俊, 王豪. 一种改进双旋转CORDIC算法的反正余弦函数IP设计与实现[J]. 微电子学与计算机, 2013, 30(12): 146-150.

HUANG Bao-ying, CHANG Sheng, HUANG Qi-jun, et al. Design and Implementation of Arcsine/Arccosine Function Based on an Improved CORDIC Algorithm with Double Rotations[J]. 2013, 30(12): 146-150.
黄宝莹, 常胜, 黄启俊, 王豪. 一种改进双旋转CORDIC算法的反正余弦函数IP设计与实现[J]. 微电子学与计算机, 2013, 30(12): 146-150. DOI：

HUANG Bao-ying, CHANG Sheng, HUANG Qi-jun, et al. Design and Implementation of Arcsine/Arccosine Function Based on an Improved CORDIC Algorithm with Double Rotations[J]. 2013, 30(12): 146-150. DOI：

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192 M Hz，平均误差小于10.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.

Abstract

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 M Hz and the average error is less than 10-4.This algorithm is of better precision than traditional CORDIC on average

higher speed than linear compensation.And it costs less resource than double rotations algorithm with pipeline structure.

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