Geodesic
Phase-synchronized-weighted median filter and some questions of estimation of quality of its response to a frequency-modulated signal
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 269-278 
V. I. Znak. Phase-synchronized-weighted median filter and some questions of estimation of quality of its response to a frequency-modulated signal. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 269-278. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a4/
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     title = {Phase-synchronized-weighted median filter and some questions of estimation of quality of its response to a~frequency-modulated signal},
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We discuss the specific features of the phase-synchronized-weighted median filters when processing the frequency-modulated (sweep) signals. The estimation of the response quality of such a filter is found, and a functional, enabling us to reduce the problem of the choice of the filter structure to the problem of minimization the functional, is introduced. The conclusions obtained are confirmed by the results of numerical statistical modelling.

[1] Znak V. I., “Vzveshennyi mediannyi filtr i obrabotka rezultatov vertikalnogo seismicheskogo profilirovaniya”, Problemno-orientirovannye vychislitelnye kompleksy, Novosibirsk, 1992, 78–85

[2] Duncan G., Beresford G., “Median filter behaviour with seismic data”, Geophysical Prospecting, 43 (1995), 329–345 | DOI

[3] Glinski B. M., Znak V. I., “Estimation of the propagation time of the vibroseismic waves”, Proceedings of the Vlth International Workshop “Distributed Data Processing”, RAS. Siberian Branch Publisher, Novosibirsk, 1998, 437–440

[4] Znak V. I., “Percenile filtering: some generalizations; the experience of geophysical data processing”, Bulletin of the Novosibirsk Computing center. Series: Mathematical Aspects of the Geophisycs, 1 (1998), 111–116

[5] Justusson B. I., “Median filtering: statistical properties: Two-dimensional digital signal processing, II”, $T$-transforms and Median Filters, Springer-Verlag, Berlin, 1981, 161–196

[6] Znak V. I., “Sinfazno-vzveshennyi mediannyi filtr: raschet vesov i obrabotka garmonicheskogo signala”, Sib. zhurn. vychisl. matematiki. / RAN. Sib otd-nie. — Novosibirsk, 4:1 (2001), 31–40 | MR

[7] Znak V. I., “Some models of noise signals and heuristic search for weighted-order statistics”, Math. Comput. Modelling, 18:7 (1993), 1–7 | DOI | Zbl

[8] Lee Y. H., Kassam S. A., “Generalized median filtering and related nonlinear filtering techniques”, IEEE Trans. Acoust., Speech, Signal Processing, 33:3 (1985), 672–683 | DOI

[9] Nikolaev A. V., “Vozmozhnost vibratsionnogo prosvechivaniya Zemli”, Izv. AN SSSR. Seriya: Fizika Zemli, 1975, no. 4, 10–21

[10] Alekseev A. S., Glinskii B. M., Kovalevskii V. V., Pushnoi B. M., “Vibroseismicheskie istochniki dlya globalnoi tomografii Zemli”, Problemno-orientirovannye vychislitelnye kompleksy, Novosibirsk, 1996, 18–29

[11] Kovalevskii V. V., Pushnoi B. M., Salavatov P. M., “Otsenka pogreshnosti izmereniya vibroseismicheskikh signalov”, Problemno-orientirovannye vychislitelnye kompleksy, Novosibirsk, 1996, 80–92