PERFORMANCE-CHARACTERISTICS OF THE FUZZY SIGN DETECTOR

Abstract

In this paper, fuzzy statistical techniques are introduced into the optimum signal detection problems. The likelihood ratio for fuzzy detection of known signals is obtained, As a special case of the fuzzy signal detector, a fuzzy set theoretic approach to sign detection of known signals is considered, Specifically, the test statistic of the fuzzy sign detector for known signals is obtained. Some properties of the fuzzy sign nonlinearity, which constitutes the fuzzy sign detector, are also described, Finally, the performance characteristics of the fuzzy sign detector are investigated and compared to those of the crisp sign detector.