Example:
focusing a point source
There are two strategies for
designing the inverse matrix: local and general.
With
local strategy, we take into account separately the kth set of responses, and we are not
worried about how the system will respond to the other P
possible sources.
So
we can invert separately each of these N responses, so that:
(Dirac’s delta function)
Once these N inverse filters
are computed (for example, employing the Nelson/Kirkeby method),
the output of the microphone array, focused on the kth point source, will be simply:
