Geodesic
Sinphase-weighted median filter: evaluation of weights and processing of a harmonic signal
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 1, pp. 31-40 
V. I. Znak. Sinphase-weighted median filter: evaluation of weights and processing of a harmonic signal. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 1, pp. 31-40. http://geodesic.mathdoc.fr/item/SJVM_2001_4_1_a3/
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     title = {Sinphase-weighted median filter: evaluation of weights and processing of a~harmonic signal},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce the notion of the Sinphase-Weighted Median Filter which belongs to a class of weighted percentile filters, and consider specification of them under conditions of processing a harmonic signal. We offer the algorithm of computing the weights of such filter and get the estimation of its response on the sine function. Achieved inferences are confirmed by results of numerical statistical modeling.

[1] Duncan G., Beresford G., “Median filter behaviour with seismic data”, Geophysical Prospecting, 43 (1985), 329–345 | DOI

[2] Glinski B. M., Znak V. I., “Estimation of the propagation time of the vibroseismic waves”, Proceedings of the 6-th Internaional Workshop “Distributed Data Processing” (Novosibirsk, 1998), 437–440 | Zbl

[3] Znak V. I., “Percenile filtering: some generalizations; the experience of geophysical data processing”, Bulletin of the Novosibirsk Computing Center. Series: Mathematical Modeling in Geophysics, 1 (1998), 111–116

[4] Justusson B. I., “Median filtering: statistcal properties: two-dimentional digital signal processing II”, $T$-transforms and Median Filters, Springer-Verlag, Berlin, 1981, 161–196 ; “Bystrye algoritmy v tsifrovoi obrabotke izobrazhenii”, Preobrazovaniya i mediannye filtry, Radio i svyaz, M., 1984, 156–218 | MR | Zbl | MR

[5] 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

[6] Voskoboinikov Yu. E., Kasyanova S. N., Kislenko N. P., Trofimov O. E., “Ispolzovanie algoritmov nelineinoi filtratsii dlya uluchsheniya kachestva vosstanovlennykh tomograficheskikh izobrazhenii”, Avtometriya, 1997, no. 3, 13–17