基于查找表和Taylor展开的正余弦函数的实现

Implementation of Sine&Cosine Function Based on Look-up Ttable and Taylor Expansion

正余弦函数在现代数字信号处理中有着重要作用。提出一种基于查找表与Taylor展开相结合的正余弦函数的实现方法，可以完成0-360°正弦和余弦值的计算，输入有效位数为16位，输出有效位也为16位，结果精度达0．00003。在Altera公司Stratix系列FPGA上对算法进行了验证，算法消耗的资源少，精度高，速度快。

Sine＆Cosine function has important application in modern digital signal processing. A method is proposed for implementing Sine＆Cosine function based on look- up table and taylor expansion. It can calculate the Sine and Cosine value from 0-360°. The input and output are 16 bits,and the precision of output is 0. 000 03. This paper implements the hardware on the stratix device of Altera Corporation. Comparing with other methods, this method needs less resource and has higher precision, the speed of implementation is faster.