A repeated single-channel mechanical signal blind separation method based on morphological filtering and singular value decomposition

This paper proposes a repeated blind source separation (BSS) method based on morphological filtering and singular value decomposition (SVD) to separate the mixed sources from a single-channel signal. Firstly the signal is de-noised by the morphological filter and, the noise which affects the accuracy of the separation is removed. Next, the purified signal is reconstructed in phase space, and the SVD is applied to this matrix. After choosing the effective singular values, the inverse transform is applied to the revised signal matrix. From this, the pseudo signal can be obtained. The pseudo signal and the purified original signal are used to achieve the mixed sources separation through the fast independent component analysis (FastICA) algorithm. Then, the methods above are repeated in order to separate the weaker signals. The analysis of simulation and practical application demonstrates that that proposed method shows a high level of separating performance of a single-channel signal.

The main steps of the proposed method.Figure optionsDownload as PowerPoint slideHighlights
► Use the generalized mathematical morphological filter for noise removal.
► Use the proposed signal processing method to get the pseudo signal.
► Though repeated blind source separation method to separate the mixed sources.
► Achieve the separation of mechanical single-channel signal mixtures.