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基于CORDIC算法的双曲正余弦函数FPGA实现
周晓青, 李合生, 陶荣辉, 蔡英武
中国工程物理研究院 电子工程研究所,四川 绵阳621900
摘要:
作为一种快速精确进行超越函数运算的方法,坐标旋转数字计算(CORDIC)算法在现代工程实践中获得了广泛应用。本文简要介绍了该算法的基本原理,给出了具体的计算方法,并以双曲正余弦函数的求取为例,给出了CORDIC算法在FPGA中的实现方法,在集成综合环境(ISE)平台上进行了仿真。结果表明,由于采用了流水线结构,算法精度较高,实时性较好。另外,通过Matlab相应的算法进行了仿真,得出迭代次数和计算误差之间的关系曲线,有助于实际应用中选择迭代次数。
关键词:  CORDIC算法  双曲正弦函数  双曲余弦函数  现场可编程门阵列  流水线结构
DOI:
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基金项目:中国工程物理研究院重大预研资助项目(重大预研-05)
FPGA implementation of hyperbolic function based on CORDIC algorithm
ZHOU Xiao-qing, LI He-sheng, TAO Rong-hui, CAI Ying-wu
Institute of Electronic Engineering, China Academy of Engineering Physics,Mianyang Sichuan 621900,China
Abstract:
The application of CORDIC(COordinate Rotation DIgital Computing) arithmetic in solving transcendental function has become popular in modern engineering. A brief introduction of CORDIC arithmetic was given in this study. Taking the hyperbolic sine and cosine functions as examples, the method of realizing the arithmetic in FPGA was presented and simulated on ISE(Integrated Software Environment) platform. The result showed this arithmetic was of good precision and instantaneity because of using pipeline. This arithmetic has great practical value in some applications. In addition, a curve of the relationship between the iterative number and the error obtained by the Matlab simulation of the arithmetic can help designers planning the number of iterations for practical applications.
Key words:  COordinate Rotation DIgital Computing arithmetic  hyperbolic sine function  hyperbolic cosine function  FPGA  pipeline

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