ABSTRACT
Thisexhibitstheloglikelihoodasamonotonefunctionofthebeam power,asbefore,andweobtainthemaximumlikelihoodestimatorasthe 9maximizingthepowerinthebeamovertheLfrequenciesintheneighborhoodofv0.Ofcourse,thisassumesthatthenoiseprocessesareuncorrelated fromchanneltochannel.Alikelihoodratiotestofthehypothesis sl=52=...=SL=0leadstousingadetectorproportionalto
whichhasasymptoticallyanFdistribution,asgiveninthenextsection.The detectionstatisticisexhibitedinEq.(41)asafunctionofthepowerinthe beamdividedbythenoisepower,whentheyarebothevaluatedat9,the wavenumbermaximizingtheloglikelihoodinEq.(38).