Calculation of IACC of any music signal convolved with impulse responses by using the interaural cross-correlation function of the sound field and the autocorrelation function of the sound source

Binaural impulse responses (BIRs) are measured to clarify the acoustical characteristics of the sound filed in concert halls and opera houses. Since BIRs indicate the transfer function of sound fields, an anechoic source convolved with the BIRs represents the signal that listeners hear in that sound field. To find out the acoustical characteristics of the original sound source, it is useful to calculate the autocorrelation function (ACF) because the parameters extracted from the ACF closely relates to the subjective preference of listeners. It can thus be said that the convolution and the correlation are the most important calculative techniques in the room acoustics. This study investigates the relationship between sound sources and sound fields by comparing the interaural cross-correlation function (IACF) of BIRs and the IACF of an anechoic source convolved with the BIRs. The convolution and correlation are identical under a certain condition. In this condition, the interaural cross-correlation coefficient (IACC) of an anechoic source convolved with the BIRs can be described by the IACC of BIRs and by the effective duration τ(subscript e) of ACF of the anechoic source.