利用小波变换去除噪声的基本原理和方法及消色散方法对毫秒脉冲星极弱信号进行了提取,并对噪声进行了最佳阈值选取实验研究,实现了脉冲星弱信号消色散积累后的检测和抑噪。并研究了软硬阈值估计子等不同阈值消噪技术,进而对PSR0437—4715信号采用不同方法去噪后的结果进行了分析比较,认为在最大分解层数J=5时对脉冲星信号处理有普适意义。研究结果认为基于小波变换的消噪方法是一种提高信噪比、展示噪声和突变信号的优越方法。
In this paper, the theory of the wavelet analysis and application of the wavelet analysis to the de - noise process is introducted. The weak millisecond pulsar signal by de - noising method based on the wavelet threshold is detected. The soft threshold and hard threshold methods are also introduced. When J equals to 5, the results is available for 0437 - 4715 signal. The experimental results show that the de - noising method based on the wavelet threshold is a good manner in extracting useful signal and displaying noise and mutable signal.