A Special Solution-Selection Principle in Using a Tikhonov Regularizing Algorithm for Processing Multiwave Lidar Data

Autor:	A. Kolgotin, M. Yu. Korenskii, K. N. Kamsha, V. I. Alekhnovich
Rok vydání:	2005
Předmět:	3D optical data storage Applied Mathematics Fredholm integral equation Aerosol Set (abstract data type) Tikhonov regularization symbols.namesake Distribution (mathematics) Kernel (statistics) symbols Instrumentation Refractive index Algorithm Mathematics
Zdroj:	Measurement Techniques. 48:955-961
ISSN:	1573-8906 0543-1972
DOI:	10.1007/s11018-006-0003-1
Popis:	An algorithm is considered for recovering the aerosol size distribution and complex refractive index from optical data measured with a certain error δ. The size distribution and the optical data are related by a linear integral Fredholm equation of the first kind with an inaccurately specified kernel, which is solved by Tikhonov regularization. A new principle is proposed for selecting solutions, which is based on not one solution but a certain set of them. Averaging on that set results in a stable conclusion on the recovery of the aerosol parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d9ad98af4e3f1541a6e357a05b9c9ced https://doi.org/10.1007/s11018-006-0003-1 Zobrazit plný text záznamu Full text from SpringerLink