A Translation Invariance Denoising Algorithm with Soft Wavelet Threshold and its Application on Signal Processing of Laser Interferometer Hydrophone

Abstract

A Translation Invariance Denoising Algorithm with Wavelet Threshold and its Application on Signal Processing of Laser Interferometer Hydrophone is investigated. The obtained signal of Laser interferometer hydrophone exist a large number of singularity points, and the denoising algorithm of Donoho's wavelet threshold may produce the Pseudo Gibbs phenomenon on the singularity points. To eliminate the phenomenon, a denoising algorithm of wavelet threshold based on translation invariance is presented. The algorithm performs the cycle translation on the analyzed signal, and a soft threshold method is designed to shrink the wavelet coefficients of the signal and then we reconstruct the signal using the wavelet coefficients. The method can eliminate the oscillation of singularity points of the signal. Simulation experiments with the obtained data by the hydrophone show the algorithm is effectiveness.