A nonparametric phase estimation method for SIMO systems based on second-order and higher order statistics

In this correspondence, we present a nonparametric phase estimation algorit hm for linear single-input multiple-output (SLMO) channels. Given an unknow n stationary input signal with known statistics, our approach is to obtain the joint minimum mean square phase estimation based on the polyspectra and the cross-spectra of the SIMO channel outputs. By utilizing both higher or der and second-order statistics of the channel outputs, our approach is sho wn to be more accurate and reliable than methods based on higher order stat istics alone. It can be applied to SIMO channels with common zeros.