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The whittaker smoother and the moore-penrose inverse in signal reconstruction

Chountasis, S and Katsikis, VN and Pappas, D and Perperoglou, A (2012) 'The whittaker smoother and the moore-penrose inverse in signal reconstruction.' Applied Mathematical Sciences, 6 (25-28). 1205 - 1219. ISSN 1312-885X

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The aim of this work is to propose a method based on B-splines for signal filtering and signal reconstruction. The proposed approach consists of applying the Moore-Penrose inverse for the reconstruction of noisy signals and the use of smoothing techniques with a Whittaker smoother to control the roughness of variation in order to extract the signal from a noisy series. The advantages of this method over the conventional filtering and reconstruction methods are the continuous control over smoothness, the automatically interpolating, as well as computationally efficient leave-one-out cross-validation.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Aris Perperoglou
Date Deposited: 20 Sep 2012 09:07
Last Modified: 23 Jan 2019 05:15

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