Abstract
In recent years, it has been shown that use of the Kirchhoff approximation allows expressing the field scattered by a fractal surface in terms of two series expansions. A rigorous analysis of the properties of such two series has been addressed in the recent literature, aimed at finding suitable truncation criteria to compute, with a controlled absolute error, the field scattered by a fractal surface. In this paper, we first of all note that aforementioned analysis applies not only to the Kirchhoff approach, but also to more advanced approaches for surface scattering evaluation. Then, we address the use of the aforementioned series and truncation criteria to achieve a controlled relative rather than absolute error. According to such an analysis, an algorithm is provided, which allows to automatically choose which of the two series, if any, can be used, and how it can be properly truncated for efficient and effective (i.e., with a controlled relative error) computation of the field scattered by natural surfaces. An example of the application of the proposed algorithm to synthetic aperture radar data simulation is also provided.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEEE Transactions on Geoscience and Remote Sensing
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
