A new kind of adaptive frequency shift filter

In this paper, two types of adaptive FREquency SHift filters are proposed. One is LMS adaptive FRESH filter. The other is blind adaptive FRESH filter. By exploiting the spectral correlation of cyclostationary signals, these adaptive filters can separate the signals which overlap in both frequency and time domain. Theoretical development and simulations of these filters are given in this paper. The results show that for signals which spectrally overlap, the adaptive FRESH filters can perform very well while ordinary adaptive filters fail.