Multichannel blind deconvolution of complex I/Q independent sources with phase recovery

Abstract

Multichannel blind deconvolution (MBD) techniques allow recovery of individual source signals from observed mixtures, exploiting only the assumption of mutual independence of sources. Generally, complex signals are recovered with an arbitrary phase rotation. In this paper, we propose two constrained MBD algorithms to separate complex sources and remove the phase ambiguities simultaneously when the sources have independent in-phase and quadrature (I/Q) components. The algorithms apply the MBD techniques to real-valued signals, which are composed by the real and imaginary parts of the complex-valued sources, and impose constraint on the structure of separating filter to avoid the so-called I/Q associated problem. Simulation results demonstrate that the proposed algorithms are effective in recovering source phases without affecting source separation.