An Optimized Algorithm for Filtering the Noise in Weak Signal Based on TIDWT

This paper presents a new optimized algorithm of weak signal filtering based on translation invariant discrete wavelet transform. On the basis of wavelet domain threshold filtering algorithm based on orthogonal wavelet transform, translation invariant discrete wavelet transform threshold optimized denoising algorithm is introduced in this paper. This method is more suitable for weak signal filtering of low signal-noise ratio and the desired signals submerged in noise can be well detected without distortion. Computer simulation shows that the filtering effect of this optimized algorithm for weak signals is much improved, not only in the appearance but also in signal-noise ratio and mean-square deviation of signals after optimized.