信号幅值跳变小波降噪方法研究

发布时间：2018-01-19 10:21

本文关键词： 平移不变小波降噪伪吉布斯信号处理幅值跳变　出处：《信号处理》2014年04期 　论文类型：期刊论文

【摘要】：传统的小波阈值降噪算法会使信号的不连续点附近产生伪吉布斯(pseudo Gibbs)现象。为了抑制这种现象,本文提出了信号幅值跳变小波降噪方法。该方法首先对原始信号进行幅值跳变处理,消除其不连续性;然后利用小波阈值降噪方法进行降噪;最后对得到的信号进行幅值逆跳变处理,获得原始信号的降噪信号。分别采用信号幅值跳变小波降噪方法、平移不变小波降噪方法和传统的小波阈值降噪算法对具有不连续点的信号进行降噪处理,结果发现,与另外两种方法相比,信号幅值跳变小波降噪方法能够有效抑制pseudo Gibbs现象,且降噪后的信号具有较高的信噪比。
[Abstract]:The traditional wavelet threshold denoising algorithm can cause pseudo Gibbs phenomenon near the discontinuous point of the signal, in order to suppress this phenomenon. In this paper, the wavelet denoising method of signal amplitude jump is proposed. Firstly, the original signal is processed with amplitude jump to eliminate its discontinuity. Then the wavelet threshold denoising method is used to reduce the noise. Finally, the original signal denoising signal is obtained by the amplitude inverse jump processing, and the signal amplitude jump wavelet denoising method is adopted respectively. The translation invariant wavelet denoising method and the traditional wavelet threshold denoising algorithm are used to reduce the noise of the signal with discontinuous points. The results show that it is compared with the other two methods. The signal amplitude jump wavelet denoising method can effectively suppress the phenomenon of pseudo Gibbs, and the signal to noise ratio after denoising is higher.
【作者单位】：武汉大学动力与机械学院;卡尔加里大学电气与计算机工程系;
【基金】：国家自然科学基金资助项目(51179135;51379160) 湖北省自然科学基金重点项目(2011CDA046)
【分类号】：TN911.4
【正文快照】： 1引言小波分析方法具有多分辨率分析的优点,因此,该方法在信号降噪等方面得到了广泛的应用[1-3]。目前,已经提出了多种小波降噪方法,如:1995年Donoho首次提出了硬阈值和软阈值降噪方法[4];文献[5]考虑到相邻系数之间的相关性,提出了小波相邻系数降噪方法;为了克服硬阈值降噪

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