Abstract
This paper presents a method for obtaining numerical estimates of high rate vector quantization (VQ) performance suitable for sources for which the PDF is not analytically available. In the proposed method, the VQ point density is described from a Gaussian mixture model optimized for the data. Employing this method for LPC spectrum quantization, we obtain high rate expressions for both the average spectral distortion (SD) and the distribution function of the SD. We estimate the minimum bits required for a quantizer to obtain an average SD of 1 dB and the outlier statistics for that quantizer. We find that approximately 3 bits can be saved as compared to a 2-split LSF-based vector quantizer.
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