GLRT-Based Framework for the Multidimensional Statistical Resolution LimitReport as inadecuate

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1 L2S - Laboratoire des signaux et systèmes

Abstract : Recently, a criterion for Multidimensional Statistical Resolution Limit MSRL evaluation, which is defined as the minimal separation to resolve two closely spaced signals depending on several parameters, was empirically proposed in 1 but without a statistical analysis. In this paper, we fill this lack by demonstrating that this MSRL criterion is asymptotically equivalent upon to a translator factor to a UMP Uniformly Most Powerful test among all invariant statistical tests. This result is an extension of a previous work on mono-dimensional SRL i.e., when the signals only depend on one parameter. As an illustrative example, the 3-D harmonic retrieval case for wireless channel sounding is treated to show the good agreement of the proposed result.

Author: Mohammed Nabil El Korso - Remy Boyer - Alexandre Renaux - Sylvie Marcos -



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