old05hw01 - EQESélél Digital Communications HW(due on...

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Unformatted text preview: EQESélél: Digital Communications HW]. _ (due on Class 4) 1. A communication system is shown in Fig. 1. Let s(t) = boPT(t), where be E {"1,1} and 1 if Q g t < T, PT“) ”“ { 0 elsewhere. The thermal noise 716;) is an additive white Gaussian noise with power spectral density Sum) : .1132, woo < w < oo. a. Sketch the output resulting from s(t), that is, sketch s(t). 13. Find the variance of s(T) + MT). 0. Compute the average probability of error if the receiver decides a positive polarity if s(T) + MT) 2: 0 and decides a negative polarity if s(T) + MT) < O. matched ' ' s(t) m» ———> filter , threshold . h(t) = PT(t) I I deCISIon F1“) . _§(t)+fi(t) smile) Figure 1: System Model. 1 ...
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