Applying order statistics to detection problems

Authors:
I. M. Rudko
Affiliations:
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2014

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Abstract

This paper introduces the concept of a truncated order statistic. We derive analytical expressions for the mean value and the variance of a truncated order statistic with a threshold determined by a given number of the variational series term. The algorithm of noisy signal detection is developed for detection systems, which employ the method of statistical hypotheses testing and the energy detection criterion. The algorithm utilizes statistical characteristics of order statistics.