Title :
Performance measures for estimating vector systems
Author :
Nehorai, Arye ; Hawkes, M.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA
Abstract :
We propose a framework of performance measures for analyzing estimators of geometrical vectors that have intuitive physical interpretations, are independent of the coordinate frame and parameterization, and have no artificial singularities. We obtain finite-sample and asymptotic lower bounds on them for large classes of estimators and show how they may be used as system design criteria. We determine a simple asymptotic relationship that is applicable to both the measures and their bounds
Keywords :
mean square error methods; parameter estimation; signal processing; vectors; asymptotic lower bound; coordinate frame; error measures; finite-sample lower bound; geometrical vectors; intuitive physical interpretations; mean-square angular error; mean-square error length; mean-square range error; performance measures; signal processing; system design criteria; vector systems estimation; Context; Coordinate measuring machines; Electric variables measurement; Mobile communication; Q measurement; Radar signal processing; Radar tracking; Rotation measurement; Sonar; Target tracking;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.758277
