30 April 2018 Cramer-Rao analysis of unknown target parameters in electromagnetic induction data
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Abstract
In this paper, we derive the Cramer-Rao Lower Bound (CRLB) for the unknown tensor amplitudes and target location parameters that can be estimated from electromagnetic induction (EMI) measurements of a target. In deriving the bound, no restrictions are placed on the target type, target orientation, measurement geometry, or the geometry of the electromagnetic induction sensor or sensor array. The analysis is applicable to both a scanned sensor and a stationary array. In doing so, we illustrate ways to use the CRLB to analyze the relationships between parameters and parameter sets. We then apply the analysis to an experimental Georgia Tech EMI sensor for a nominal 2-D scan geometry. We also identify additional considerations in designing EMI sensors and acquisition setups.
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Andrew J. Kerr, Andrew J. Kerr, Waymond R. Scott, Waymond R. Scott, James H. McClellan, James H. McClellan, } "Cramer-Rao analysis of unknown target parameters in electromagnetic induction data", Proc. SPIE 10628, Detection and Sensing of Mines, Explosive Objects, and Obscured Targets XXIII, 106280R (30 April 2018); doi: 10.1117/12.2305537; https://doi.org/10.1117/12.2305537
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