匹配付里叶变换的噪声抑制与滤波

Restraining and Filtering Noise in the Match Fourier Transform

本文讨论了匹配付里叶变换对噪声的影响 ,通过理论和仿真分析表明 ,匹配付里叶变换可以扩展有色噪声的带宽 ,减小所匹配信号的带宽 ,从而提高信号的检测性能 .由于信号和噪声不同的匹配付里叶域的分布不同 ,则可在不同的匹配付里叶域进行滤波 ,进一步提高检测性能 .仿真表明 ,在信噪比为 - 2 0dB的条件下 ,线性调频信号通过多次不同的匹配付里叶域滤波 ,可得到信号比噪声高

In this paper,the affects of the match Fourier transform on moise are discussed,Theoretical analyses and simulations indicate that the match Fourier transform can enlarge the bandwidth of the coloured noise and compress the bandwidth of the matched signal,which improves the performance of detecting signal.Because the distribution of signal and noise is dissimilar in the different match Fourier field,so the filter can be made in the different match Fourier field to get better performance.The simulations show that under the condition of S/N=-20dB,if the chirp signal is filtered time after time in the different match Fourier field,the signal may be over 15dB more than noise.