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

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Abstract

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.

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Translated from Izmeritel'naya Tekhnika, No. 10, pp. 14–19, October, 2005.

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Kolgotin, A.V., Alekhnovich, V.I., Korenskii, M.Y. et al. A Special Solution-Selection Principle in Using a Tikhonov Regularizing Algorithm for Processing Multiwave Lidar Data. Meas Tech 48, 955–961 (2005). https://doi.org/10.1007/s11018-006-0003-1

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  • DOI: https://doi.org/10.1007/s11018-006-0003-1

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