Bayesian modelling of the speech spectrum using mixture of Gaussians

Parham Zolfaghari*, Shinji Watanabe, Atsushi Nakamura, Shigeru Katagiri

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

14 Citations (Scopus)


This paper presents a method for modelling the speech spectral envelope using a mixture of Gaussians (MOG). A novel variational Bayesian (VB) framework for Gaussian mixture modelling of a histogram enables the derivation of an objective function that can be used to simultaneously optimise both model parameter distributions and model structure. A histogram representation of the STRAIGHT spectral envelope, which is free of glottal excitation information, is used for parametrisation using this MOG model. This results in a parameterisation scheme that purely models the vocal tract resonant characteristics. Maximum likelihood (ML) and variational Bayesian (VB) solutions of the mixture model on histogram data are found using an iterative algorithm. A comparison between ML-MOG and VB-MOG spectral modelling is carried out using spectral distortion measures and mean opinion scores (MOS). The main advantages of VB-MOG highlighted in this paper include better modelling using fewer Gaussians in the mixture resulting in better correspondence of Gaussians and formant-like peaks, and an objective measure of the number of Gaussians required to best fit the spectral envelope.

Original languageEnglish
Pages (from-to)I553-I556
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publication statusPublished - 2004
Externally publishedYes
EventProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada
Duration: 2004 May 172004 May 21

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering


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