Problem with super-vector concept

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zahra-t

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hello , I have a problem with super vector. From M mixtures GMM-super vector can be formulated as:

and the overall super Vector definition is :

my question is if we have one vector with one mean (supervector) what happens with weight and covariance matrix???
these 2 images are from:
R.Togneri and D.Pullella. “An Overview of Speaker Identification: Accuracy and Robustness Issues.” IEEE Circuits and Systems Magazine, vol. 11, pp. 23-61, May. 2011
 

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