George, S.Padikkal, P.2026-02-052011Applied Mathematical Sciences, 2011, 5, 57-60, pp. 2819-28291312885Xhttps://idr.nitk.ac.in/handle/123456789/27144In 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 one, we assume that the available noise is e? withe-e?? ? 5 and prove that the errorx?<inf>?</inf>-f?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.Balancing principleInverse and Ill-posed problemsSignal reconstructionTikhonov regularization