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A system using matched filter detection of cqually likely BPSK signals, s,(t) V2E/T cos wot and s2(1) = V2E/T cos (ot+T), operates in AWGN

  

A system using matched filter detection of cqually likely BPSK signals, s,(t) V2E/T cos wot and s2(1) = V2E/T cos (ot+T), operates in AWGN with a received E,/No of 6.8 dB. Assume that E{z(T)} + VE (a) Find the minimum probability of bit error, Pg, for this signal set and E,/N. (b) If the decision threshold is y = 0.1 VE, find Pg. (c) The threshold of y = 0.1 VE is optimum for a particular set of a priori probabili- ties, P (s)) and P(s2). Find the values of these probabilities (refer to Section B.2).

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