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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 1, Pages 47–56 (Mi zvmmf11183)

Optimal control

Choice of regularization parameter based on the regularized solution reconstruction in adaptive signal correction problem

M. L. Maslakov

Russian Institute of Power Radiobuilding

Abstract: In this paper adaptive signal correction is considered as one of possible solutions to an inverse ill-posed problem. This problem is defined to an integral equation of the convolution type, and the regularization method is used to solve it. To select the regularization parameter, it is proposed to reconstruct the regularized solution. The results of numerical experiments are presented.

Key words: ill-posed problem, integral equation of convolution type, regularization, regularization parameter.

UDC: 519.642

Received: 23.01.2020
Revised: 10.07.2020
Accepted: 18.09.2020

DOI: 10.31857/S0044466921010063


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:1, 43–52

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© Steklov Math. Inst. of RAS, 2026