Differential beamforming - application in practice

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Hello everyone,
I am a beginner in beamforming,
Does anyone know how we can use the functions and code described in: Introduction to Differential Beamforming,
how would you process a real signal from a uniform linear array (ULA) consisted of 2 omnidirectional microphones?
As far as I can tell, this is a theoretical model that generates the polar response of a microphone array, but how to apply this to a real signal?
Thanks in advance!

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