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Parametric trajectory models for speech recognition

The basic motivation for employing trajectory models for speech recognition is that sequences of speech features are statistically dependent and that the effective and efficient modeling of the speech process will incorporate this dependency. In our previous work we presented an approach to modeling the speech process with trajectories. In this paper we continue our development of parametric trajectory models for speech recognition. We extend our models to include time-varying covariances and describe our approach for defining a metric between speech segments based on trajectory models; it is important in developing mixture models of trajectories.