Reverberant sound field analysis using a microphone array

The use of microphone arrays for sound pickup in reverberant environments has been proposed by many authors. The observation on the M microphones can be decomposed into a spatially coherent and an incoherent part. The rst one is due to perfect (plane or spherical) sound waves caused by the direct path and specular re ections, whereas the latter is caused by di usion, di raction, non-perfect re ections, electrical and quantization noise. In this paper we rstly present a de ation method to detect and localize spatially coherent waves from the measured impulse responses. In a second step the lters which model the source directivity and the re ecting materials are estimated. The model takes into account near eld delay, range attenuation, microphone and source directivity as well as non trivial re ections.