A K-iterated scheme for the first-order Gaussian recursive filter with boundary conditions
Salvatore Cuomo, Ardelio Galletti, Raffaele Farina, Livia Marcellino
Citation: Proceedings of the 2015 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 5, pages 641–647 (2015)
Abstract. Recursive Filters (RFs) are a well known way to approximate the Gaussian convolution and are intensively used in several research fields. When applied to signals with support in a finite domain, RFs can generate distortions and artifacts, mostly localized at the first and the last few entries of the computed solution. To deal with this issue, heuristic and theoretical end conditions are been proposed in literature. However, these end conditions strategies do not consider the case in which a Gaussian RF is applied more than once, as it often happens in several realistic applications. In this paper, we suggest a way to use the end conditions for such a K-iterated Gaussian RF and propose an algorithm that implements the described approach. Tests and numerical experiments show the benefit of the proposed scheme.