title: Spatial-temporal correlation of a diffuse sound field
abstract: The spatial correlation function of the sound in a diffuse field is a quantity widely used in many reverbrant room acoustic applications. Although results for the spatial and temporal correlation for pure-tone and band-limited diffuse fields have already been developed, these have not been generalized for other signal types. This work presents a generalized derivation of the diffuse field spatial-temporal correlation which can be used for stationary random signals with given power spectral density. It is shown that the spatial-temporal correlation depends entirely on the temporal correlation of the signal exiting the diffuse field, or alternatively on its power spectral density. A simulation using the plane wave model is presented for tonal and broadband diffuse sound fields.
authors.affiliation: Institute of Sound and Vibration Research, University of Southampton, United Kingdom. br@isvr.soton.ac.uk
authors.initials: B
authors.lastname: Rafaely