Ozone profile smoothness as a priori information in the inversion of limb measurements
In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of atmospheric profiles is considered as a constraint or in t...
Published in: | Annales Geophysicae |
---|---|
Main Authors: | , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Copernicus Publications
2004
|
Subjects: | |
Online Access: | https://doi.org/10.5194/angeo-22-3411-2004 https://doaj.org/article/2e143c2a51ca4263bf99c466a374f261 |
id |
ftdoajarticles:oai:doaj.org/article:2e143c2a51ca4263bf99c466a374f261 |
---|---|
record_format |
openpolar |
spelling |
ftdoajarticles:oai:doaj.org/article:2e143c2a51ca4263bf99c466a374f261 2023-05-15T18:20:17+02:00 Ozone profile smoothness as a priori information in the inversion of limb measurements V. F. Sofieva J. Tamminen H. Haario E. Kyrölä M. Lehtinen 2004-11-01T00:00:00Z https://doi.org/10.5194/angeo-22-3411-2004 https://doaj.org/article/2e143c2a51ca4263bf99c466a374f261 EN eng Copernicus Publications https://www.ann-geophys.net/22/3411/2004/angeo-22-3411-2004.pdf https://doaj.org/toc/0992-7689 https://doaj.org/toc/1432-0576 doi:10.5194/angeo-22-3411-2004 0992-7689 1432-0576 https://doaj.org/article/2e143c2a51ca4263bf99c466a374f261 Annales Geophysicae, Vol 22, Pp 3411-3420 (2004) Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 article 2004 ftdoajarticles https://doi.org/10.5194/angeo-22-3411-2004 2022-12-30T23:48:03Z In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of atmospheric profiles is considered as a constraint or in the form of Bayesian optimal estimation (maximum a posteriori method, MAP), where the smoothness of profiles can be included as a priori information. We develop further two recently proposed retrieval methods. One of them - Tikhonov-type regularization according to the target resolution - develops the classical Tikhonov regularization. The second method - maximum a posteriori method with smoothness a priori - effectively combines the ideas of the classical MAP method and Tikhonov-type regularization. We discuss a grid-independent formulation for the proposed inversion methods, thus isolating the choice of calculation grid from the question of how strong the smoothing should be. The discussed approaches are applied to the problem of ozone profile retrieval from stellar occultation measurements by the GOMOS instrument on board the Envisat satellite. Realistic simulations for the typical measurement conditions with smoothness a priori information created from 10-years analysis of ozone sounding at Sodankylä and analysis of the total retrieval error illustrate the advantages of the proposed methods. The proposed methods are equally applicable to other profile retrieval problems from remote sensing measurements. Article in Journal/Newspaper Sodankylä Directory of Open Access Journals: DOAJ Articles Sodankylä ENVELOPE(26.600,26.600,67.417,67.417) Annales Geophysicae 22 10 3411 3420 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 |
spellingShingle |
Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 V. F. Sofieva J. Tamminen H. Haario E. Kyrölä M. Lehtinen Ozone profile smoothness as a priori information in the inversion of limb measurements |
topic_facet |
Science Q Physics QC1-999 Geophysics. Cosmic physics QC801-809 |
description |
In this work we discuss inclusion of a priori information about the smoothness of atmospheric profiles in inversion algorithms. The smoothness requirement can be formulated in the form of Tikhonov-type regularization, where the smoothness of atmospheric profiles is considered as a constraint or in the form of Bayesian optimal estimation (maximum a posteriori method, MAP), where the smoothness of profiles can be included as a priori information. We develop further two recently proposed retrieval methods. One of them - Tikhonov-type regularization according to the target resolution - develops the classical Tikhonov regularization. The second method - maximum a posteriori method with smoothness a priori - effectively combines the ideas of the classical MAP method and Tikhonov-type regularization. We discuss a grid-independent formulation for the proposed inversion methods, thus isolating the choice of calculation grid from the question of how strong the smoothing should be. The discussed approaches are applied to the problem of ozone profile retrieval from stellar occultation measurements by the GOMOS instrument on board the Envisat satellite. Realistic simulations for the typical measurement conditions with smoothness a priori information created from 10-years analysis of ozone sounding at Sodankylä and analysis of the total retrieval error illustrate the advantages of the proposed methods. The proposed methods are equally applicable to other profile retrieval problems from remote sensing measurements. |
format |
Article in Journal/Newspaper |
author |
V. F. Sofieva J. Tamminen H. Haario E. Kyrölä M. Lehtinen |
author_facet |
V. F. Sofieva J. Tamminen H. Haario E. Kyrölä M. Lehtinen |
author_sort |
V. F. Sofieva |
title |
Ozone profile smoothness as a priori information in the inversion of limb measurements |
title_short |
Ozone profile smoothness as a priori information in the inversion of limb measurements |
title_full |
Ozone profile smoothness as a priori information in the inversion of limb measurements |
title_fullStr |
Ozone profile smoothness as a priori information in the inversion of limb measurements |
title_full_unstemmed |
Ozone profile smoothness as a priori information in the inversion of limb measurements |
title_sort |
ozone profile smoothness as a priori information in the inversion of limb measurements |
publisher |
Copernicus Publications |
publishDate |
2004 |
url |
https://doi.org/10.5194/angeo-22-3411-2004 https://doaj.org/article/2e143c2a51ca4263bf99c466a374f261 |
long_lat |
ENVELOPE(26.600,26.600,67.417,67.417) |
geographic |
Sodankylä |
geographic_facet |
Sodankylä |
genre |
Sodankylä |
genre_facet |
Sodankylä |
op_source |
Annales Geophysicae, Vol 22, Pp 3411-3420 (2004) |
op_relation |
https://www.ann-geophys.net/22/3411/2004/angeo-22-3411-2004.pdf https://doaj.org/toc/0992-7689 https://doaj.org/toc/1432-0576 doi:10.5194/angeo-22-3411-2004 0992-7689 1432-0576 https://doaj.org/article/2e143c2a51ca4263bf99c466a374f261 |
op_doi |
https://doi.org/10.5194/angeo-22-3411-2004 |
container_title |
Annales Geophysicae |
container_volume |
22 |
container_issue |
10 |
container_start_page |
3411 |
op_container_end_page |
3420 |
_version_ |
1766197802456580096 |