Reconstruction of nonstationary signals along the wavelet ridges

Abstract

In this paper, the nonstationary signals have been recovered using the skeleton along the wavelet ridges in the noisy case and the attractors of the cleaned signals are reconstructed in the phase space by time-delay embedding. In order to verify the signal recovery and reconstruction procedure, the similarity measure Hausdorff distance between cleaned, noise-free original attractors have been calculated. The computations show that the procedure reduces the noise level acceptably and the reconstructed attractors are more similar to the original attractors.