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

Samit Basu, Yoram Bresler

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationBayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking
PublisherWiley-IEEE Press
Pages235-240
Number of pages6
ISBN (Electronic)9780470544198
ISBN (Print)0470120959, 9780470120958
DOIs
StatePublished - Jan 1 2007

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Keywords

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

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Basu, S., & Bresler, Y. (2007). A Global Lower Bound on Parameter Estimation Error with Periodic Distortion Functions. In Bayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking (pp. 235-240). Wiley-IEEE Press. https://doi.org/10.1109/9780470544198.ch22