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Telecommunications and Radio Engineering
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ISSN Imprimir: 0040-2508
ISSN En Línea: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v70.i18.30
pages 1631-1650

ON THE STABILITY OF THE PROBLEM OF MODIFIED WIENER FILTERING

Maretta Kazaryan
North Ossetian State University

SINOPSIS

The application of the Tikhonov regularization method in the problem of modified Wiener filtering of signals by means of discrete orthogonal transformations is investigated. Regularization parameters for different discrete orthogonal transformations (DOTs) are found. Specific features of a Wiener filter depending on the spectral components are determined for different DOTs. Errors of recovery of the filtered signal with and without regularization are evaluated. These estimates demonstrate that a signal recovered by the Tikhonov regularization method is closer to the original signal than the signal recovered without the use of the regularization method.

REFERENCIAS

  1. Agayan, S. S. and Petrosyan, A. A., Optimal area coding methods by discrete orthogonal transformations.

  2. Lavrentiev, V. V., Romanov, V. G., and Shishatskii, S. P., Ill-Posed Problems of Mathematical Physics and Analysis.

  3. Tikhonov, A. N., On regularization of ill-posed problems.

  4. Tikhonov, A. N., On stable methods of Fourier series summation.


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