A CRAMER RAO BOUND APPROACH FOR EVALUATING THE QUALITY OF EXPERIMENTAL SETUPS IN ELECTRICAL IMPEDANCE TOMOGRAPHY

摘要

In this report, we propose the application of the Cramer 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. Cramer Rao Bound is bounded from below by the inverse of the Fisher in formation matrix (FIM). FIM incorporates all aspects of the forward problem, statistical properties of the measure ment noise, and multi-frequency data. We consider the ap plication 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 Cramdr Rao Bound (BCRB) for the case of the biased estimator. All CRB computations are performed using a measured noise model from a clinical experiment.