Open AccessOptimal use of the information provided by indirect measurements of atmospheric vertical profiles
Author(s) -
Simone Ceccherini,
Piera Raspollini,
B. Carli
Publication year - 2009
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.17.004944
Subject(s) - representation (politics) , grid , computer science , regularization (linguistics) , constraint (computer aided design) , algorithm , complement (music) , optics , remote sensing , mathematics , physics , artificial intelligence , geology , geometry , biochemistry , chemistry , complementation , politics , political science , law , gene , phenotype
A procedure for the optimal utilization and representation of the information retrieved from atmospheric observations is discussed. We show that the "measurement-space solution" exclusively contains the information present in the observations, but is not suitable for a representation of the retrieved profile in the form of a graph. The new method of the "null-space regularization", which provides in a complement space an external constraint and makes the solution compliant with this representation, is presented. In this way the measurement and the constraint are separately determined and are given in a vertical grid that can be freely chosen as fine as desired. The method is applied to simulated measurements and is used to define a procedure for data fusion.