Power Communication Denoising Based on Fast Algorithm of Translation Invariant Wavelet

Interfering noise of power line is one of the important factors, which affects the quality of power line communication. In wavelet denoising methods, the most popularly used is nonlinear wavelet transform thresholding method. But in some cases, such as in the neighborhood of discontinuities of signal, the wavelet transform thresholding methods may exhibit Pseudo-Gibbs phenomena. Translation invariant wavelet denoising is an improvement for this method. It can not only suppress Pseudo-Gibbs phenomena, but also diminish RMSE between original signal and improving SNR. Simulated experiment shows that translation invariant wavelet denoising method is better than thresholding denoising method.