Comparison of the Tikhonov Method and the Method of Muiticriteria Optimization for Solving the Signal Restoration Problem

摘要

Theoretical and numerical results presented in this article show advantages of the method of multicriteria optimization in comparison with the Tikhonov method for solving ill-posed problems of signal restoration by the following properties, sensitivity of the solution relative to accuracy of determination of the regularization parameter, stability relative to errors of measured signal, convergence of the numerical process.