|Some Results on the Vector Gaussian Hypothesis Testing Problem
|Pierre Escamilla, None, France; Abdellatif Zaidi, Huawei Technologies, France; Michèle Wigger, Télécom-Paristech, France
|O.3: Multi-terminal Source Coding I
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|This paper studies the problem of discriminating two multivariate Gaussian distributions in a distributed manner. Specifically, it characterizes in a special case the optimal type-II error exponent as a function of the available communication rate. As a side-result, the paper also presents the optimal type-II error exponent of a slight generalization of the hypothesis testing against conditional independence problem where the marginal distributions under the two hypotheses can be different.