Example:
focusing a point source
With global strategy,
we design the filters in such a way that the response of the
system is a Dirac’s delta function for source K, and is
zero for all the other P-1 source positions.
So
we set up a linear equation system of P equations, imposing that:
Lets call vk the right-hand vector of known results.
Once
this matrix of N inverse filters are computed (for example,
employing the Nelson/Kirkeby method), the output of the microphone
array, focused on the K point source, will again be
simply: