Abstract: Compressed Sensing has been a new signal sampling theory in recent years, for it overcomes the high rate of sampling defects of traditional Nyquist signal sampling theory, It presented the basic principles of Compressed Sensing,  introduced three fundamental questions of Compressed Sensingthe sparseness of signals、irrelevance between sparse matrix and measurement matrix, and reconstruction of the signals，and analyzed the contact between Compressed Sensing and Blind Source Separation. Then, it offered a new way to solve the problem of Blind Source Separation. Finally, through the experiment it showed its application in Blind Source Separation.

Key words: compressed sensing; sparse; irrelevance; signal separation