FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 6, PAGES 15-31

**Filtering of monotonic convex noise-distorted signals and estimates of
positions of special points**

D. S. Demin

A. I. Chulichkov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k09/k096/k09602h.htm

Last modified: October 13, 2010