§No theory is assumed: the set of hij filters
are derived
directly from a set of impulse response measurements, designed according to a least-squares principle.
§In practice, a matrix of filtering
coefficients, is formed,
and the matrix has to be numerically inverted (usually employing some regularization technique).
§This way, the outputs of the microphone array
are maximally
close to the ideal responses prescribed
§This method also inherently corrects for
transducer deviations
and acoustical artifacts (shielding, diffractions, reflections, etc.)