An adaptive super-exponential deflation algorithm for blind deconvolution of MIMO systems using the matrix pseudo-inversion lemma

Multichannel blind deconvolution of finite-impulse response (FIR) or infinite-impulse response (IIR) channels is investigated using multichannel super-exponential deflation methods. We propose a new adaptive approach to multichannel super-exponential deflation methods using the matrix pseudo-inversion lemma (which is extended from the matrix inversion lemma in the full-rank case to the rank-degenerate case) and the higher-order cross correlations of the channel and the equalizer outputs. In order to see the effectiveness of the proposed approach, many computer simulations were carried out for time-invariant MIMO channels along with time-variant MIMO channels. The simulations show that the proposed approach is effective even for time-variant channels.