An adaptive super-exponential deflation algorithm for blind deconvolution of MIMO systems using the QR-factorization of matrix algebra

The multichannel blind deconvolution of finite-impulse response (FIR) or infinite-impulse response (IIR) systems is investigated using the multichannel super-exponential deflation methods. We propose a new adaptive approach to the multichannel super-exponential deflation methods using the QR-factorization of matrix algebra and the higher-order cross correlations of the (channel) system and equalizer outputs. In order to see the effectiveness of the proposed approach, many computer simulations are carried out for time-invariant MIMO systems along with time-variant MIMO systems. It is shown through computer simulations that the proposed approach is effective for time-invariant systems, but is not so effective for time-variant systems as we expected in advance.