Reconstruction of signals by standard Tikhonov method
| dc.contributor.author | George, S. | |
| dc.contributor.author | Padikkal, P. | |
| dc.date.accessioned | 2026-02-05T09:35:35Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this work we propose a standard Tikhonov regularization approach for obtaining the signal f from the observed signal ye. The observed signal is distorted by an additive noise or error e. Deviating from the usual assumption on the bound on | |
| dc.description.abstract | e | |
| dc.description.abstract | , we assume that the available noise is e? with | |
| dc.description.abstract | e-e? | |
| dc.description.abstract | ? ? 5 and prove that the error | |
| dc.description.abstract | x?<inf>?</inf>-f? | |
| dc.description.abstract | between the regularized approximation x?<inf>?</inf> and the solution f? of the noise free equation Kf = y is of optimal order. The regularization parameter ? is chosen using a balancing principle considered in [10]. The computational results provided endorses the reliability and effectiveness of our method. | |
| dc.identifier.citation | Applied Mathematical Sciences, 2011, 5, 57-60, pp. 2819-2829 | |
| dc.identifier.issn | 1312885X | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/27144 | |
| dc.subject | Balancing principle | |
| dc.subject | Inverse and Ill-posed problems | |
| dc.subject | Signal reconstruction | |
| dc.subject | Tikhonov regularization | |
| dc.title | Reconstruction of signals by standard Tikhonov method |