The signal processing
The idea
Synthesis of 32 directive virtual microphones in the direction of the capsules employing a set of digital filters
M = 32 signals coming from the capsules
V = 32 signals yielding the desired virtual microphones
Bank of MxV FIR filters
Output signal of V mic.
Input signal from the m-capsule
Matrix of filters
The Acoustics of Ancient Theatres Conference
The idea is to synthetize 32 directive virtual microphones in the direction of the capsules employing a set of digital filters.
We have 32  signals coming from the capsules and we desire 32 signals yielding the virtual microphones: so we need a bank of MxV FIR filters.
The convolution of the inputs with the filters gives as output the virtual microphone.