Digital filtering of noisy data concerned with the effect of the threshold level and choice of a wavelet


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Abstract

The problem of digital wavelet filtering of noisy data is considered. The results are comparatively analyzed when the threshold function is specified in different ways for wavelet transformation coefficients. The influence of the choice of the wavelet basis on the efficiency of the noise removal is studied. It is shown that the minimum filtering error is in most cases provided when the soft variant of the threshold function introduction is introduced.

About the authors

A. S. Yasin

Chernyshevskii State University; University of Technology

Author for correspondence.
Email: pavlov_lesha@mail.ru
Russian Federation, ul. Astrakhanskaya 83, Saratov, 410012; Al-Sina’a street, Baghdad

A. N. Pavlov

Chernyshevskii State University; Yuri Gagarin Saratov State Technical University; Kotel’nikov Institute of Radio Engineering and Electronics (Saratov Branch)

Email: pavlov_lesha@mail.ru
Russian Federation, ul. Astrakhanskaya 83, Saratov, 410012; ul. Politekhnicheskaya 77, Saratov, 410054; ul. Zelenaya 38, Saratov, 410019

A. E. Hramov

Chernyshevskii State University; Yuri Gagarin Saratov State Technical University; Kotel’nikov Institute of Radio Engineering and Electronics (Saratov Branch)

Email: pavlov_lesha@mail.ru
Russian Federation, ul. Astrakhanskaya 83, Saratov, 410012; ul. Politekhnicheskaya 77, Saratov, 410054; ul. Zelenaya 38, Saratov, 410019

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