FILTERING OF MONOTONIC CONVEX NOISE-DISTORTED SIGNALS AND ESTIMATES OF POSITIONS OF SPECIAL POINTS

摘要

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.