%0 Journal Article %T On the Hybrid Cramér-Rao Bound and Its Application to Dynamical Phase Estimation %+ Systèmes et Applications des Technologies de l'Information et de l'Energie (SATIE) %+ Ingénierie Systèmes (IS) %+ Laboratoire des signaux et systèmes (L2S) %+ GIPSA - Communication, Signal et Sécurité (GIPSA-C2S) %A Bay, Stéphanie %A Geller, Benoit %A Renaux, Alexandre %A Barbot, Jean-Pierre %A Brossier, Jean-Marc %Z This work is partially supported by the European Community contract NO. 507325, NEWCOM %< avec comité de lecture %@ 1070-9908 %J IEEE Signal Processing Letters %I Institute of Electrical and Electronics Engineers %V 15 %P 453-456 %8 2008 %D 2008 %R 10.1109/LSP.2008.921461 %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI] %Z Computer Science [cs]/Signal and Image Processing %Z Engineering Sciences [physics]/Signal and Image processingJournal articles %X This letter deals with the Cramér-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. %G English %2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01239443/document %2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01239443/file/SPL-04959-2007.R1_single%20column.pdf %L hal-01239443 %U https://hal-ensta-paris.archives-ouvertes.fr/hal-01239443 %~ EC-PARIS %~ ENSTA %~ UGA %~ CNRS %~ UNIV-GRENOBLE1 %~ UNIV-PMF_GRENOBLE %~ UNIV-GRENOBLE3 %~ UNIV-CERGY %~ UNIV-PSUD %~ ENS-CACHAN %~ CNAM %~ INPG %~ GIPSA %~ GIPSA-DIS %~ GIPSA-C2S %~ SUP_LSS %~ SATIE %~ SUP_SIGNAUX %~ IFSTTAR %~ ENSTA_U2IS %~ UGA-TEST-BIS %~ UGA-TEST-QUATER %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ CY-TECH-SE %~ ANR %~ FARMAN %~ ENS-PARIS-SACLAY %~ UNIV-EIFFEL %~ IFSTTAR-UNIVEIFFEL