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In the time domain, one can use auto-correlation function to find the period of a signal given the signal duration is longer that the period of the signal. To avoid uncertainty due to damped oscillation, one can clip the signal before computing the auto-correlation.


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Doing this acoustically will be very difficult. You could try a pulse train or short noise burst and then cross correlate the received signals. This being said, the room will generate a lot of echoes and reverb, the phones microphones need to be configured properly and are really not designed for this type of thing and it might not even be stationary if any ...


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