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 +

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available