Airborne laser scanning is one of the most powerful techniques for acquiring information about Earth’s surface and land cover. Dynamic development of technology enabled the broader use of full-waveform’s type systems, which register the entire reflected waveform. In order to provide some additional information about the structure of the illuminated surface, discrete values should be approximated by parametric functions. Research is focused on algorithm development that would allow to carry out a rapid decomposition of the wave while detecting and approximating weak and overlapping echoes. Most of existing methods for full-waveform signal modeling requires knowledge of the number of peaks and approximate parameter values. In this paper new algorithm for signal decomposition has been investigated. It allows to carry out the decomposition effectively without preprocessing. This algorithm can be considered as a progressive algorithm modification. The method involves an iterative curve fitting using weighted Levenberg-Marquardt algorithm. Two-step validation of decomposition method has also been carried out on test data. Firstly, the quantity and distribution of approximation error have been investigated. Furthermore the results have been compared to standard procedure. Basing on algorithm validation it can be stated that the method allows proper detection of all components and their correct approximation.

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