A multichannel time-domain subspace approach exploiting multiple time-delays for acoustic channel equalization

It is well-known that the performance of acoustic multichannel equalization (MCEQ) algorithms depend on the modeling delay that has to be pre-defined. In this work, we propose a MCEQ algorithm which achieves full equalization of acoustic room impulse responses in the presence of blind-system identification error. We achieve the above by modeling the inverse filters using multiple delays via columns of the identity matrix which serve as basis vectors for this time-domain sub-space approach. We further show that the proposed algorithm allows one to determine an optimal set of inverse filters corresponding to an appropriate modeling delay.