Geodesic
Filtering of monotonic convex noise-distorted signals and estimates of positions of special points
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 15-31 
D. S. Demin; A. I. Chulichkov. Filtering of monotonic convex noise-distorted signals and estimates of positions of special points. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 15-31. http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of an unknown signal filtering has been solved on the basis of mean-square approximation of the given signal segment with known monotonicity and convexity. Also the estimates of the positions of special points (local extremum and inflection points) are given. The estimates given minimize the maximum estimate error with the guaranteed reliability level.

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