1. JCPEE
  2. All Volumes and Issues
  3. Volume 6, Number 2, 2016
  4. Method of regularizing the problem of recovery of input signals of dynamic objects

Method of regularizing the problem of recovery of input signals of dynamic objects

JCPEE.
2016;
Volume 6, Number 2
: pp. 113-116
Authors:
  1. Andriy Verlan
  2. Jo Sterten
  3. Yurii Furtat
1
Norwegian University of Science and Technology
2
Norwegian University of Science and Technology
3
Pukhov Institute for Modeling in Energy Engineering

The task of signal recovery is one of the most important for automated diagnostics and control systems. This task is computationally complex, especially when there are a lot of heterogeneous errors in the signals and recovery is to be performed in real time. The article deals with the application and investigation of a modified algorithm for the method of quadrature formulas for the numerical solution of the Volterra integral equations of the I kind in solving the problem of signal recovery in real time. A method is proposed for selecting the parameters of regularizing links of computing means.

Signal reconstruction
interference
real time
Volterra equations of the I kind
regularization
  1. V. Sizikov, Inverse applied problems and MATLAB: Textbook. St. Petersburg, Russia: Lan, 2011. (Russian)
  2. A. Tikhonov and V. Arsenin, Methods for solving ill-posed problems. Moscow, Russia: Nauka, 1986. (Russian)
  3. A. Verlan and V. Sizikov, Integral equations: methods, algorithms, programs. Kyiv, Ukraine: Naukova Dumka, 1986. (Russian)
  4. D. Verlan and K. Chevska, “Estimating errors of solving Volterra integral equations of the II kind using integral inequations”, Matematychne ta compyuterne modeliuvannia. Seriya: Tehnichni nauky, no. 9. pp. 23-33, Kamianets-Podilskyi, Ukraine: Ivan Ohienko National University of Kamianets-Podilskyi, 2013. (Ukrainian)