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

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Abstract

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

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    D. S. Demin & A. I. Chulichkov

Authors
  1. D. S. Demin
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  2. A. I. Chulichkov
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Correspondence to D. S. Demin.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 6, pp. 15–31, 2009.

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Demin, D.S., Chulichkov, A.I. Filtering of monotonic convex noise-distorted signals and estimates of positions of special points. J Math Sci 172, 770–781 (2011). https://doi.org/10.1007/s10958-011-0220-2

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  • DOI: https://doi.org/10.1007/s10958-011-0220-2

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