Statistical resolution limit for multiple parameters of interest and for multiple signals

Abstract : The concept of Statistical Resolution Limit (SRL), which is defined as the minimal separation to resolve two closely spaced signals, is an important tool to quantify performance in parametric estimation problems. This paper generalizes the SRL based on the Cram'er-Rao bound to multiple parameters of interest per signal and for multiple signals. We first provide a fresh look at the SRL in the sense of Smith's criterion by using a proper change of variable formula. Second, based on the Minkowski distances, we extend this criterion to the important case of multiple parameters of interest per signal and to multiple signals. The results presented herein can be applied to any estimation problem and are not limited to source localization problems.
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Communication dans un congrès
Proc. of International Conference on Acoustics, Speech, and Signal Processing, (ICASSP'10), 2010, Dallas, Texas, United States. pp.3602-3605, 2010
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https://hal.inria.fr/inria-00445468
Contributeur : Mohammed Nabil El Korso <>
Soumis le : vendredi 8 janvier 2010 - 15:44:51
Dernière modification le : jeudi 11 janvier 2018 - 06:19:10
Document(s) archivé(s) le : jeudi 17 juin 2010 - 20:37:17

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  • HAL Id : inria-00445468, version 1

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Mohammed Nabil El Korso, Remy Boyer, Alexandre Renaux, Sylvie Marcos. Statistical resolution limit for multiple parameters of interest and for multiple signals. Proc. of International Conference on Acoustics, Speech, and Signal Processing, (ICASSP'10), 2010, Dallas, Texas, United States. pp.3602-3605, 2010. 〈inria-00445468〉

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