小波边界处理及实时去噪

基于小波阀值去噪良好的去噪能力和简单的操作方法，提出了一种基于小波阀值去噪的实时去噪方法。首先针对实际应用中数据有限对小波变换边界的影响，推导出了左右边界延拓数目，通过边界延拓，减小边界效应的影响，使去噪能力得到进一步的提高。接着推导出受边界效应影响的数目，给出了实时去噪流程图，通过相应的数据滞后输出，去除边界效应对数据区间的影响，使得实时小波去噪能够取得与离线去噪一样的效果。最后对算法进行仿真，给出了仿真结果。

Wavelet Border Processing and Real-Time Denoising

Based on nonlinear wavelet threshold denoising method, a real-time denoising algorithm is developed. The border distortion is reduced and better results are given by wavelet border processing based on the symmetry spread method and the border spread amount which is deduced. Then the affected border number and the real-time denoising algorithm flow chart are given. By time delay based on the knowledge of the affected border number, the real-time wavelet denoising algorithm can remove the boundary effect of the interval data and reach the off-line denoising effect. At last, the algorithm is simulated and the simulated resuits are given.