The Complex Multichannel Lms Algorithm for Adaptive Blind System Identification

Existing adaptive algorithms for blind SIMO system identification are implicitly derived for real signals. In this paper, we extend the multichannel LMS algorithm to the complex case. This is useful, for example, in multirate implementations of the algorithms where the subband signals are usually complex. With this algorithm, the channels are identified correctly up to a complex multiplicative factor resulting in magnitude and phase ambiguity. The complications arising due to this phase ambiguity are discussed and simulation results are presented to demonstrate and to validate the performance of the complexmultichannel LMS algorithm.