Statistics of the interaural parameters for dichotic tones in diotic noise ($N_0 S_\psi$)

TL;DR

This paper analyzes the statistical properties of interaural phase and level differences in $N_0 S_\psi$ stimuli, providing joint probability density functions crucial for understanding binaural hearing mechanisms.

Contribution

It introduces new joint probability density functions for interaural parameters in dichotic tones within diotic noise, advancing the modeling of binaural stimuli.

Findings

Derived joint PDFs of interaural phase and level differences.

Established joint PDF of interaural phase differences and stimulus power.

Enhanced understanding of interaural fluctuation statistics in binaural stimuli.

Abstract

Stimuli consisting of an interaurally phase-shifted tone in diotic noise -- often referred to as $N_0 S_\psi$ -- are commonly used in the field of binaural hearing. As a consequence of mixing diotic noise with a dichotic tone, this type of stimulus contains random fluctuations in both interaural phase- and level-difference. This study reports the joint probability density functions of the two interaural differences as a function of amplitude and interaural phase of the tone. Furthermore, a second joint probability density function for interaural phase differences and the instantaneous power of the stimulus is derived.