Adaptive super-exponential algorithms for blind deconvolution of MIMO systems

Multichannel blind deconvolution of finite-impulse re-sponse (FIR) or infinite-impulse response (IIR) systems is investigated using the multichannel super-exponential method. First, some properties are shown for the rank of the correlation matrices relevant to the multichan-nel super-exponential method. Then, the matrix inver-sion lemma is extended to the degenerate rank case. Based on these results, two types of adaptive mul-tichannel super-exponential algorithms are presented, that is, the one in covariance form and the other in QR-factorization form. 1