Adaptive super-exponential algorithms for blind deconvolution of MIMO systems

Kiyotaka Kohno, Yasushi Inouye, Mitsuru Kawamoto, Takuma Okamoto · 2004

Multichannel blind deconvolution of finite-impulse response (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 multichannel super-exponential method. Then, the matrix inversion lemma is extended to the degenerate rank case. Based on these results, two types of adaptive multichannel super-exponential algorithms are presented, that is, the one in covariance form and the other in QR-factorization form.

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