Cramer-Rao bounds for long-wave infrared gaseous plume quantification
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 varian...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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SPIE
2014
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| Online Access: | http://hdl.handle.net/1721.1/86021 |
| _version_ | 1826196904081358848 |
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| author | Golowich, Steven E. Manolakis, Dimitris G. |
| author2 | Lincoln Laboratory |
| author_facet | Lincoln Laboratory Golowich, Steven E. Manolakis, Dimitris G. |
| author_sort | Golowich, Steven E. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:39:29Z |
| format | Article |
| id | mit-1721.1/86021 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:39:29Z |
| publishDate | 2014 |
| publisher | SPIE |
| record_format | dspace |
| spelling | mit-1721.1/860212022-09-27T14:02:15Z Cramer-Rao bounds for long-wave infrared gaseous plume quantification Golowich, Steven E. Manolakis, Dimitris G. Lincoln Laboratory Golowich, Steven E. Manolakis, Dimitris G. 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. United States. Defense Threat Reduction Agency (Air Force Contract FA8721-05-C-0002) 2014-04-04T15:30:19Z 2014-04-04T15:30:19Z 2013-12 2013-10 Article http://purl.org/eprint/type/JournalArticle 0091-3286 http://hdl.handle.net/1721.1/86021 Golowich, Steven E., and Dimitris G. Manolakis. “Cramer-Rao Bounds for Long-Wave Infrared Gaseous Plume Quantification.” Opt. Eng 53, no. 2 (December 16, 2013): 021109. © 2014 SPIE en_US http://dx.doi.org/10.1117/1.oe.53.2.021109 Optical Engineering Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf SPIE SPIE |
| spellingShingle | Golowich, Steven E. Manolakis, Dimitris G. Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title | Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title_full | Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title_fullStr | Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title_full_unstemmed | Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title_short | Cramer-Rao bounds for long-wave infrared gaseous plume quantification |
| title_sort | cramer rao bounds for long wave infrared gaseous plume quantification |
| url | http://hdl.handle.net/1721.1/86021 |
| work_keys_str_mv | AT golowichstevene cramerraoboundsforlongwaveinfraredgaseousplumequantification AT manolakisdimitrisg cramerraoboundsforlongwaveinfraredgaseousplumequantification |