Title: Dirichlet Mixture Model based VQ Performance Prediction for Line Spectral Frequency,
Abstract: In this paper, we continue our previous work on the Dirichlet mixture model
(DMM)-based VQ to derive the performance bound of the LSF VQ. The LSF
parameters are transformed into the $\Delta$LSF domain and the underlying
distribution of the $\Delta$LSF parameters are modelled by a DMM with finite
number of mixture components. The quantization distortion, in terms of the mean
squared error (MSE), is calculated with the high rate theory. The mapping
relation between the perceptually motivated log spectral distortion (LSD) and
the MSE is empirically approximated by a polynomial. With this mapping
function, the minimum required bit rate for transparent coding of the LSF is
estimated.