... A01s2sTATA−00Tt)(1tψT100)()()()()()()(),(/)(/)()()(12201212111102211=−−=−=>=<====∫∫tAtstdAdtttsttsAtsEtstAdttsETTψψψψ12Digital Communications I: Modulation and Coding CoursePeriod 3 - 2007Catharina Logothetis Lecture 4 Lecture 4 20Implementation of matched filter receiver)(tr1z)(1tT −∗ψ)( tTN−∗ψNzObservationvectorBank ... tytxatytax><>=< )(),()(),(*tytxataytx><+>>=<+< )(),()(),()(),()( tztytztxtztytx Lecture 4 11Signal space … The distance in signal space is measure by calculating the norm. ... signals.xEdttxtxtxtx ==><=∫∞∞−2)()(),()()()( txatax =)()(,tytxdyx−== “length”of x(t) Lecture 4 12Example of distances in signal space)(1tψ)(2tψ),(12111aa=s),(22212aa=s),(32313aa=s),(21zz=zzsd,1zsd,2zsd,3The...