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
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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.
@article{FPM_2009_15_6_a1,
author = {D. S. Demin and A. I. Chulichkov},
title = {Filtering of monotonic convex noise-distorted signals and estimates of positions of special points},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {15--31},
publisher = {mathdoc},
volume = {15},
number = {6},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a1/}
}
TY - JOUR AU - D. S. Demin AU - A. I. Chulichkov TI - Filtering of monotonic convex noise-distorted signals and estimates of positions of special points JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2009 SP - 15 EP - 31 VL - 15 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a1/ LA - ru ID - FPM_2009_15_6_a1 ER -
%0 Journal Article %A D. S. Demin %A A. I. Chulichkov %T Filtering of monotonic convex noise-distorted signals and estimates of positions of special points %J Fundamentalʹnaâ i prikladnaâ matematika %D 2009 %P 15-31 %V 15 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a1/ %G ru %F FPM_2009_15_6_a1
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/