Is it possible to generate multi-variate date from HMMs without using multivariate distributions?

26 September 2017 1 718 Report

I've always assumed in order to generate a set of MFCCs for speech synthesis using Hidden Markov Models, that there was one HMM per Mel Coefficient, that is 12 HMMs, an HMM for the pitch, and yet another for durations. Apparently people just use one HMM for all the variables, so I wonder if it is possible to do as I first described, and if so is it efficient?

Lyes Demri

I have found the answer; basically the method I've described can only be applied of the variables are independent. If the variables are correlated it is not possible to generate random vectors that would fit the distribution. A covariance matrix has to be provided with non-zero values for elements not on the diagonal.

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