Properties of convolved room impulse responses

In loudspeaking teleconferencing applications, the impulse response from a talker in one room to a listener in the other room involves a convolution of two room impulse responses (RIRs). Here, such a system is analyzed using simple RIR models with a direct sound component plus a white Gaussian noise which is weighted by an exponential window. Expected energy distributions, and modulation transfer functions, of convolutions of such RIRs are derived analytically. The convolution will include a non-exponential term which gives non-classical acoustical parameter behavior. Derivations are presented, predictions are compared with measurements, and the influence of parameters is studied through numerical simulations.