A cramér Rao Bound approach for evaluating the quality of experimental setups in electrical impedance tomography

Parham Hashemzadeh, Panagiotis Kantaritzis, Panos Liatsis, Richard Bayford, Sven Nordebo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this report, we propose the application of the Cramér Rao Lower Bound (CRLB) as a performance measure for optimal design of experimental setups in electrical impedance tomography. In particular, we focus on the optimum positioning of electrodes. Cramér Rao Bound is bounded from below by the inverse of the Fisher information matrix (FIM). FIM incorporates all aspects of the forward problem, statistical properties of the measurement noise, and multi-frequency data. We consider the application of CRB in both the deterministic as well as the Bayesian setting. We first present the CRB for the case of the unbiased estimator and then the Bayesian Cramér Rao Bound (BCRB) for the case of the biased estimator. All CRB computations are performed using a measured noise model from a clinical experiment.

Original languageBritish English
Title of host publicationProceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011
Pages386-392
Number of pages7
DOIs
StatePublished - 2011
EventIASTED International Conference on Biomedical Engineering, Biomed 2011 - Innsbruck, Austria
Duration: 16 Feb 201118 Feb 2011

Publication series

NameProceedings of the 8th IASTED International Conference on Biomedical Engineering, Biomed 2011

Conference

ConferenceIASTED International Conference on Biomedical Engineering, Biomed 2011
Country/TerritoryAustria
CityInnsbruck
Period16/02/1118/02/11

Keywords

  • Cramér Rao Bound
  • Electrical impedance tomography
  • Fisher information matrix

Fingerprint

Dive into the research topics of 'A cramér Rao Bound approach for evaluating the quality of experimental setups in electrical impedance tomography'. Together they form a unique fingerprint.

Cite this