A 'gammachirp' function as an optimal auditory filter with the Mellin transform
نویسنده
چکیده
Recently, a 'gammachirp' function has been derived as an optimal auditory filter function in terms of minimal uncertainty in a joint time and modified-scale representation if the scale transform defined by Cohen is used in the auditory system. The gammatone function, which is widely used as the impulse response of a linear auditory filter, is a first-order approximation of the 'gammachirp' function consisting of a chirp carrier with an envelope that is a gamma distribution function. In this paper, the optimality of the 'gammachirp' function is argued for the general Mellin transform since Cohen's scale transform is a specific example of the Mellin transform. A sample speech signal is analyzed to demonstrate the properties of a joint time and scale distribution derived with a short-time Mellin transform in comparison with a short-time Fourier spectrum.
منابع مشابه
Extracting Size and Shape Information of Sound Source in an Optimal Auditory Processing Model
We hear phonemes pronounced by men, women and children as approximately the same although the length of the vocal tract varies considerably from group to group. At the same time, we can identify the speaker group. This suggests that we extract and separate the size and shape information of sound sources. The impulse response of the vocal tract is compressed or expanded in time when the length o...
متن کاملStabilised wavelet mellin transform: an auditory strategy for normalising sound-source size
We hear phonemes pronounced by men, women and children as approximately the same although the length of the vocal tract varies considerably from group to group. At the same time, we can identify the speaker group. This suggests that we extract and separate the size and shape information of sound sources. The impulse response of the vocal tract is compressed or expanded in time when the length o...
متن کاملApplication of Gammachirp Auditory Filter as a Continuous Wavelet Analysis
This paper presents a new method on the use of the gammachirp auditory filter based on a continuous wavelet analysis. The gammachirp auditory filter is designed to provide a spectrum reflecting the spectral properties of the cochlea, which is responsible for frequency analysis in the human auditory system. The impulse response of the theoretical gammachirp auditory filter that has been develope...
متن کاملOn an Advanced Strategy of Gammachirp Wavelet Transform for Isolated Words Recognition using HMM
The gammachirp filter bank was used to model human cochlea filtering. Recently, we have proposed an auditory feature based on gammachirp wavelet transform. We have found that the features extractor gives a more significant improvement in robust speaker recognition than conventional acoustic features. The Gammachirp Wavelet Transform Frequency Cepestral Coefficients GWTFCC proposed the use of th...
متن کاملGENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM
Abstract In this work, the Mellin transform method was used to obtain solutions for the stress field components in two dimensional (2D) elasticity problems in terms of plane polar coordinates. the Mellin transformation was applied to the biharmonic stress compatibility equation expressed in terms of the Airy stress potential function, and the boundary value problem transformed to an algebraic ...
متن کامل