Question: binary communication system transmits signals si(t) (i=1,2).The receiver test statistic z(T)=ai+n0,where the signal component aiis either a1=+1 or a2=-1 and the noise component n0is uniformly

binary communication system transmits signals si(t) (i=1,2).The receiver test statistic z(T)=ai+n0,where the signal component aiis either a1=+1 or a2=-1 and the noise component n0is uniformly distributed, yielding the conditional density functions given by

Find the probability of a bit error, PBfor the case of equally likely signaling and the use of an optimum decision threshold.

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