Blind source separation(BSS)is a powerful methodology for signal processing,the goal is to separate the source from the mixtures and the components separated are statistically independent,and it has become an attractive researche in the field of signal processing.The latest progress on the blind source separation are elaborated,the mathematical model is given,the concept of BSS is presented,the blind signal separation algorithms are studied,moreover,the characteristics of typical algorithms are analyzed.And then,the blind signal extraction algorithms,which are closely related to the blind signal separation,are studied.Finally,the future further development on the blind source separation are presented.