Cramer-Rao bounds for long-wave infrared gaseous plume quantification

Steven E. Golowich; Dimitris G. Manolakis

doi:10.1117/1.OE.53.2.021109

16 December 2013 Cramer-Rao bounds for long-wave infrared gaseous plume quantification

Steven E. Golowich, Dimitris G. Manolakis

Author Affiliations +

Funded by: United States Air Force, Massachusetts Institute of Technology Lincoln Laboratory Biomedical Line Program for the United States Air Force, Air Force, Defense Threat Reduction Agency under Air Force, Assistant Secretary of Defense for Research and Engineering under Air Force Contract, Defense Threat Reduction Agency under Air Force contract

Optical Engineering, Vol. 53, Issue 2, 021109 (December 2013). https://doi.org/10.1117/1.OE.53.2.021109

Abstract

The central parameter in the quantification of chemical vapor plumes via remote sensing is the mean concentration-path length (CL) product, which can be combined with scene geometry information to provide estimates of the absolute gas quantity present. We derive Cramer-Rao lower bounds on the variance of an unbiased estimator of CL in concert with other parameters of a nonlinear radiance model. These bounds offer a guide to feasibility of CL estimation that is not dependent on any given algorithm. In addition, the derivation of the bounds yields great insight into the physical and phenomenological mechanisms that control plume quantification, which we illustrate with examples representing a variety of experimental scenarios.

Citation Download Citation

Steven E. Golowich and Dimitris G. Manolakis "Cramer-Rao bounds for long-wave infrared gaseous plume quantification," Optical Engineering 53(2), 021109 (16 December 2013). https://doi.org/10.1117/1.OE.53.2.021109

Published: 16 December 2013

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