Performance measures for estimating vector systems

Author

Nehorai, Arye ; Hawkes, M.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA

Volume

4

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1829

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.758277

Filename

758277