Title :
On the Hybrid Cramér Rao Bound and Its Application to Dynamical Phase Estimation
Author :
Bay, Stéphanie ; Geller, Benoit ; Renaux, Alexandre ; Barbot, Jean-Pierre ; Brossier, Jean-Marc
Author_Institution :
SATIE Lab., Ecole Normale Super. de Cachan, Cachan
fDate :
6/30/1905 12:00:00 AM
Abstract :
This letter deals with the Cramer-Rao bound for the estimation of a hybrid vector with both random and deterministic parameters. We point out the specificity of the case when the deterministic and the random vectors of parameters are statistically dependent. The relevance of this expression is illustrated by studying a practical phase estimation problem in a non-data-aided communication context.
Keywords :
phase estimation; signal processing; Cramer Rao bound; deterministic parameters; dynamical phase estimation; hybrid vector estimation; nondata-aided communication context; random parameters; Bayesian methods; Closed-form solution; Context; Health information management; Laboratories; Mean square error methods; Parameter estimation; Phase estimation; Signal processing; Vectors; Cramér–Rao bounds; synchronization parameters estimation;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.921461