A Global Lower Bound on Parameter Estimation Error with Periodic Distortion Functions

Samit Basu; Yoram Bresler

doi:10.1109/9780470544198.ch22

A Global Lower Bound on Parameter Estimation Error with Periodic Distortion Functions

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Abstract

We present a global Ziv-Zakai-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).

Original language	English (US)
Title of host publication	Bayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking
Publisher	Wiley-IEEE Press
Pages	235-240
Number of pages	6
ISBN (Electronic)	9780470544198
ISBN (Print)	0470120959, 9780470120958
DOIs	https://doi.org/10.1109/9780470544198.ch22
State	Published - Jan 1 2007

Keywords

Distortion measurement
Maximum likelihood estimation
Measurement uncertainty
Nonlinear distortion
Parameter estimation
Signal to noise ratio

ASJC Scopus subject areas

Computer Science(all)

Online availability

10.1109/9780470544198.ch22

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AB - We present a global Ziv-Zakai-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).

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KW - Maximum likelihood estimation

KW - Measurement uncertainty

KW - Nonlinear distortion

KW - Parameter estimation

KW - Signal to noise ratio

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A Global Lower Bound on Parameter Estimation Error with Periodic Distortion Functions

Abstract

Keywords

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