Estimation of Source Signals Number and Underdetermined Blind Separation Based on Sparse Representation

In underdetermined blind separation, the number of sensors is less than that of source signals, and it is well known that source signals can be recovered through the two-step algorithms generally. But people often suppose that the number of source signals is known when they estimate the mixture matrix by the k-mean clustering algorithm. In fact, the number of source signals is unknown or blind, so it is very important to estimate the number of source signals first. In this paper, a new two-step algorithm is proposed, which not only can estimate the number of source signals but also get the mixture matrix instead of k-mean algorithm