Binaural Spatial Transform for Multi-source Localization determining Angular Extent of Ensemble Source Width

In the case of ensemble like distributed presentation, inter-aural cross-correlation (IACC) is correlated with the measure for source width extension. We question the validity of this measure and develop an angular measure for ensemble source width. In this work, we distinguish the binaural correlation functions of localized source, source with reverberation and ensemble source. We also develop a novel phase-only spatial transform to localize as many sources as possible. The angular separation between the spatial extrema sources can be a physical measure for ensemble source width. We also observe that phase-only HRIR cross-correlation functions act as listener dependent functional bases for localizing multiple sources. We observe these functional bases are wavelet-like and their signature are listener dependent and direction dependent. We extend the spatial transform to time-varying short-time spatial transform and define “Spatio-gram” to understand the effect of time-varying nature of the signal.