基于离散Chirp—Fourier变换的线性调频信号的Wiener滤波

针对白噪声中线性调频信号的滤波问题 ,提出了一种基于Chirp Fourier变换的Wiener滤波算法 ,根据线性变换等效Wiener滤波的原理 ,利用最小二乘法导出了Chirp Fourier域上的Wiener滤波算子。理论分析及仿真结果表明 ,该算法不仅能够给出信号波形的最小均方误差估计 ,还可利用FFT实现 ,且实现较为简便。

Wiener Filtering of LFM Signal Based on Discrete Chirp-Fourier Transform

This paper proposes a new method for Wiener fi lt ering of linear FM signal based on the Chirp-Fourier transform. According to th e principle that linear transform is equivalent to Wiener filtering, the filteri ng operator on the discrete Chirp-Fourier domain is provided according to the l east square algorithm.Theoretical analysis and simulation results shows that the proposed filtering algorithm can estimate the signal waveform with minimum mean square error (MSE) , and it is also simple to make computation and easy in impl ementation.