Spectrum is limited, in order to develop high efficient modem, Complex FastICA algorithm is studied about its potential use in UNB signal detection. First, principle of Complex FastICA is presented, kurtosis and cost function are analyzed, and realization of Complex FastICA is given; then, M-EBPSK modulation method is supposed as a kind of UNB modulation format, UNB-ICA model for UNB received signal with interference and noise is presented by analyzing the characteristics of M-EBPSK modulation; finally, computer simulation is done by using nosy UNB-ICA model based on Complex FastICA Algorithm, the experimental results show that Complex FastICA Algorithm can suppress the interference and improve detection BER in contrast to the traditional methods, it is hopeful that the method can be used in UNB communication technology.