LFM信号的一种最优滤波算法

本文提出了一种基于分数阶傅立叶变换的LFM信号的最优滤波算法.首先由线性最小均方误差估计的正交条件出发,得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法;在此基础上,进一步给出了滤波算子的离散化算法.分析及数值仿真的结果表明,这一算法不仅在性能上接近普通的Wiener滤波器,而且计算简单,便于实现.

An Approach for Optimal Filtering of LFM Signal

This paper proposes a novel method for the optimal filtering of linear FM signal based on the fractional Fourier transform.First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error (MSE) estimation,and then,a discrete algorithm of the filtering operator is further proposed.Theoretical analysis and simulation results show that the performance of the proposed filtering algorithm is very close to that of the Wiener filtering,and also,this filtering algorithm is simple in computation and easy in implementation.