A global lower bound on parameter estimation error with periodic distortion functions

Author

Basu, Samit ; Bresler, Yoram

Author_Institution

Dept. of Res. Dev., Gen. Electric Corp., Niskayuna, NY, USA

Volume

46

Issue

3

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

1145

Lastpage

1150

Abstract

We present a global Ziv-Zakai (1969) type lower bound on the mean square error for estimation of signal parameter vectors, where some components of the distortion function may be periodic. Periodic distortion functions arise naturally in the context of direction of arrival or phase estimation problems. The bound is applied to an image registration problem, and compared to the performance of the maximum-likelihood estimator (MLE)

Keywords

direction-of-arrival estimation; error analysis; functions; image registration; mean square error methods; phase estimation; DOA estimation; MLE; Ziv-Zakai-type lower bound; direction of arrival estimation; global lower bound; image registration problem; maximum-likelihood estimator; mean square error; parameter estimation error; performance; periodic distortion functions; phase estimation; signal parameter vectors; AWGN; Direction of arrival estimation; Estimation error; Image registration; Maximum likelihood estimation; Mean square error methods; Nonlinear distortion; Parameter estimation; Phase distortion; Phase estimation;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.841198

Filename

841198