An efficient algorithm for harmonic retrieval by combining blind source separation with wavelet packet decomposition

In the present paper, we propose an efficient framework and algorithm for one dimensional harmonic retrieval problem in additive colored Gaussian or non-Gaussian noise when the frequencies of the harmonic signals are closely spaced in frequency domain. Our framework utilizes the wavelet packet (WP) method to the blind source separation (BSS) based harmonic retrieval model. Firstly, we establish the BSS based harmonic retrieval model in additive noise using only one mixed channel signal, at the same time, the fundamental principle of BSS based harmonics retrieval algorithm is analyzed in detail. Then, the harmonic retrieval algorithm is developed mainly using the WP decomposition approach, where the criterion is formed as the cumulant based approximation of the mutual information (MI) for the selection of optimal sub-bands of WP decomposition with the least-dependent components between the same nodes. Simulation results show that the proposed algorithm is able to retrieve the harmonic source signals and yield good performance. (C) 2015 Elsevier Inc. All rights reserved.