Spatially optimal Wiener filtering in reverberant sound fields

The derivation of Wiener filters, which are spatially optimal for reverberant sound fields, is presented, with an application to two-microphone noise cancellation in reverberant rooms. The optimal filters, which are derived from the spatial correlation of diffuse sound fields, capture the local behaviour of the sound field and are therefore of lower order and potentially more spatially robust than conventional adaptive noise cancellation filters in reverberant rooms. Formulations for unconstrained and causally constrained optimal filters are presented, and an example application to a two-microphone speech enhancement is demonstrated using a computer simulation