Chaumette, Eric and Galy, Jerome and Vincent, François and Renaux, Alexandre and Larzabal, Pascal MSE lower bounds conditioned by the energy detector. (2007) In: EUSIPCO 2007 : 15th European Signal Processing Conference, 03-07 Sep 2007, Posnan, Poland.
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A wide variety of processing incorporates a binary detection test that restricts the set of observations for parameter estimation. This statistical conditioning must be taken into account to compute the Cramer-Rao bound (CRB) and more generally, lower bounds on the Mean Square Error (MSE). Therefore, we propose a derivation of some lower bounds - including the CRB - for the deterministic signal model conditioned by the energy detector widely used in signal processing applications.
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