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Generalization of the de Bruijn's identity to general -entropies and -Fisher informations
Irene Valero Toranzo, Steeve Zozor, Jean-Marc Brossier
In this paper, we propose generalizations of the de Bruijn's identities based on extensions of the Shannon entropy, Fisher information and their associated divergences or relative…
Optimal Scalar Quantization for Parameter Estimation
Rodrigo Cabral Farias, Jean-Marc Brossier
In this paper, we study an asymptotic approximation of the Fisher information for the estimation of a scalar parameter using quantized measurements. We show that, as the number of…
Optimal Asymmetric Binary Quantization for Estimation Under Symmetrically Distributed Noise
Rodrigo Cabral Farias, Eric Moisan, Jean-Marc Brossier
Estimation of a location parameter based on noisy and binary quantized measurements is considered in this letter. We study the behavior of the Cramer-Rao bound as a function of the…
Adaptive Quantizers for Estimation
Rodrigo Cabral Farias, Jean-Marc Brossier
In this paper, adaptive estimation based on noisy quantized observations is studied. A low complexity adaptive algorithm using a quantizer with adjustable input gain and offset is…