# Consider a coherently detected binary PSK modulation where where A, B 0. A priori probabilities…

Consider a coherently detected binary PSK modulation where

where A, B 0. A priori probabilities of symbol m1 and
m0 are given by p(m1) and p(m0), respectively. The correlation receiver shown
in Figure 8.14 is used with a threshold level _.

a. Determine the average Eb/N0. How can you minimize the
average Eb/N0? Which symbol is more vulnerable to errors? b. Write down the pdf
of x when m1 and m0 is transmitted. c. Determine the probability P m = m1 m0 of
receiving m1 when m0 was transmitted and the probability P m = m0 m1 of
receiving m0 when m1 was transmitted. Determine the average

Consider a coherently detected binary PSK modulation where

where A, B 0. A priori probabilities of symbol m1 and
m0 are given by p(m1) and p(m0), respectively. The correlation receiver shown
in Figure 8.14 is used with a threshold level _.

a. Determine the average Eb/N0. How can you minimize the
average Eb/N0? Which symbol is more vulnerable to errors? b. Write down the pdf
of x when m1 and m0 is transmitted. c. Determine the probability P m = m1 m0 of
receiving m1 when m0 was transmitted and the probability P m = m0 m1 of
receiving m0 when m1 was transmitted. Determine the average probability of bit
error. d. Determine the optimum threshold level _opt. e. Compare the
average bit error probability and the average power for the following cases:

figure 8.14

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