基于LMS算法的多点滑动DFT方法

Multisample-Based Sliding-DFT Method Based on LMS Algorithm

根据自适应LMS法,LMS谱分析器可以通过递归运算完成滑动窗口中数据的DFT运算.本文推导了LMS算法及多点滑动DFT运算之间的关系式,并由此提出了一种基于LMS算法的多点滑动DFT运算方法.文章在理论推导的同时,进行了计算机仿真验证.该方法使用方便,可灵活适用于不同的滑动窗口大小及滑动步长参数.

Based on the adaptive least mean squares algorithm,the LMS spectrum analyzer can be applied to recursively compute the discrete Fourier transform of a sliding window of data.In this paper,a LMS-based method for calculating multisample-based sliding-DFT is proposed.The method establishes the relationship between LMS algorithm and sliding-DFT when new multisamples come into the sliding window for DFT.The inferential formula is deduced,meanwhile,the computer simulation is performed for validation.The method is effective and available for arbitrary transform length and sliding step size.