Stochastic Modeling and Quantization of Harmonic Phases in Speech using Wrapped Gaussian Mixture Models
Yannis Agiomyrgiannakis, Yannis Stylianou · 2007
Harmonic sinusoidal representations of speech have proven to be useful in many speech processing tasks. This work focuses on the phase spectra of the harmonics and provides a methodology to analyze and subsequently to model the statistics of the harmonic phases. To do so, we propose the use of a wrapped Gaussian mixture model (WGMM), a model suitable for random variables that belong to circular spaces, and provide an expectation-maximization algorithm for training. The WGMM is then used to construct a phase quantizer. The quantizer is employed in a prototype variable rate narrow-band VoIP sinusoidal codec that is equivalent to iLBC in terms of PESQ-MOS, at ~13 kbps.