An application of the generalized Neyman-Pearson fuzzy test to stochastic-signal detection

In the article an application of the fuzzy testing of hypothesis to the stochastic-signal detection problem is considered when the signal-to-noise ratio approaches zero. We first obtain the general reManuscript received March 13, 1992; revised February 1 1 , 1993. This work was supported by the Science and Engineering Foundation of Korea (KOSEF) under Grant 92 1-0800-002-2. The authors are with the Department of Electrical Engineering, Korea Advanced Institute of Science and Technology (KAIST), Yuseong Gu. Daejeon 305-701, Korea. IEEE Log Number 9209687. lationship between the test statistic of the locally optimum fuzzy detector and that of the locall! optimum detector. Based on this result, the test statistic and structures of the locally optimum fuzzy detector for stochastic signals are obtained. Several aspect5 of the locally optimum fuzzy nonlinearity for stochastic signals are also described. Finally, performance characterihcs of the locall) optimum fuzzy detector are brieflj diwussed.