16 September 1999 Inversion of lidar signals in the vicinity of an S-function extremum
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Proceedings Volume 3821, Environmental Sensing and Applications; (1999) https://doi.org/10.1117/12.364211
Event: Industrial Lasers and Inspection (EUROPTO Series), 1999, Munich, Germany
Abstract
The inversion of lidar returns, i.e. the determination of the extinction or backscattering profile, is a classical example of an incorrect mathematical task. If one assumes single scattering approximation and known relation between both the extinction (alpha) (z) and backscattering (beta) (z) coefficients, then the remaining problem deals with the selection of the boundary value. Many authors agree that this is the key operation that determines the accuracy of the lidar data inversion. The utilization of the Klett's method requires estimating of the boundary value near the end of the sounding trace. Two common problems accompany this process. First is the very low value of the signal-to-noise ratio and the second is the lack of any kind of a priori information. In our previous work we investigated the proposed by us modification of the well-known slope method. It permits boundary value estimation if an isolated peak is present in the lidar return. Here we discuss the possibility of inverting the lidar return in the vicinity of an S-function extremum.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ivan V. Grigorov, Max Frioud, Vichko I. Tsanev, "Inversion of lidar signals in the vicinity of an S-function extremum", Proc. SPIE 3821, Environmental Sensing and Applications, (16 September 1999); doi: 10.1117/12.364211; https://doi.org/10.1117/12.364211
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