基于小波分析的高斯脉冲成形的递归实现

基于小波分析的指数衰减信号高斯脉冲成形滤波器，可以进一步表示为高斯函数及其导数的线性组合.以高斯函数及其导数的递归近似实现算法为基础，研究了基于小波分析的指数衰减信号高斯脉冲成形的递归近似实现算法.仿真指数衰减信号和实际采样指数衰减信号的高斯脉冲成形表明，递归近似高斯脉冲成形与直接卷积高斯脉冲成形符合得非常好，体现了基于小波分析的高斯脉冲成形的特点.研究成果为进一步研究高斯脉冲成形在数字芯片上的实现提供了必要的数字算法基础. 关键词： 高斯脉冲成形 递归实现 小波分析

Recursive implementation of Gaussian pulse shaping based on wavelet analysis

Gaussian pulse shaping filter of exponential decay signal based on wavelet analysis can be more described by using linear combination of both Gaussian function and its first order derivative. On the basis of the recursive approximate algorithm of Gaussian function and its derivative, the recursive approximate algorithm of Gaussian pulse shaping of exponential decay signal based on wavelet analysis is studied. The experiment results with simulating and sampling signals show that the recursive approximate Gaussian pulse shaping is well accorded with the direct convolution of the Gaussian pulse shaping. The characteristic of the Gaussian pulse shaping based on wavelet analysis is well exhibited by the recursive approximate Gaussian pulse shaping. The obtained result can serve as the digital algorithmic base for studying the realization of the Gaussian pulse shaping in digital chip.