Eigenspace adaptive filtering for efficient pre-equalization of acoustic MIMO systems

Pre-equalization of MIMO systems is required for a wide variety of applications, e. g. in channel equalization and spatial sound reproduction. However, traditional adaptive algorithms fail for channel numbers of some ten or more. It is shown that the problem becomes tractable by decoupling of the MIMO adaptation problem, e. g. by a generalized singular value decomposition. This method is called eigenspace adaptive filtering. The required singular vectors depend on the unknown system response to be equalized. An reasonable approximation by data-independent transformations is derived for the example of listening room compensation yielding the approach of wave-domain adaptive filtering.