1Circularly-SymmctricGaussianrandomvectorsRobertG.GallagerJanuary1,2008AbstractAnumberofbasicpropertiesaboutcircularly-symmetricGaussianrandomvectorsarestatedandprovedhere・ThesepropertiesareeachprobablywellknowntomostresearcherswhoworkwithGaussiannoise,butIhavenotfoundthemstatedtogetherwithsimpleproofsintheliterature.Theyareusuallyviewedastooadvancedortoodetailedforelementarytextsbutareused(co...