Evaluating the basilar membrane displacement for speech stimulus: a computational algorithm

Abstract

This paper presents a new approach to an auditory model which matches closely the response patterns in physiological data for single tone inputs. The model evaluates the basilar membrane (BM) displacement which has a crucial role in signal decomposition in the auditory system. We employ the partial differential equations of the BM and its parameters measured for human auditory system, and evaluate the BM displacement for some speech stimulus. In order to solve these equations, we use short time Fourier transform (STFT), and compute BM displacement for some speech stimulus. The idea is to isolate the input signal in the vicinity of a time-window and try to follow the changes in input frequencies and their perception in the auditory system. The algorithm provides a new auditory spectrum of input speech which reflects a view of propagating signal on the BM for speech signals. This model is a signal decomposition tool that could be used for various speech and sound processing applications with significant potential in improving the perceptual quality of audio signals