Q2) The conditional probabilities of a binary transmission system with non-return zero signaling are as shown in the following figure. The priori probabilities po and p₁ are given as 0.2 and 0.8 respectively. Find the optimum threshold minimizing average error rate in the receiver. Compute the average error rate for that threshold. Hint: It is apparent that threshold should be in range [-1. 1]. Otherwise, one symbol will never be detected correctly. Since optimum threshold is given by the equation fr (210)_P1 fr (1) Po one should find root of fy (0) Po-fr (1) p₁ = 0. fr (10) 1/2 fr (v\1) The condiotional probabilities

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Q2) The conditional probabilities of a binary transmission system with non-return zero signaling are as shown
in the following figure. The priori probabilities po and p₁ are given as 0.2 and 0.8 respectively. Find the
optimum threshold minimizing average error rate in the receiver. Compute the average error rate for that
threshold.
Hint: It is apparent that threshold should be in range [-1. 1]. Otherwise, one symbol will never be detected
correctly. Since optimum threshold is given by the equation
fr (210)_P1
fr (11) Po
one should find root of fr (0) Po-fr (11) P₁ = 0.
fr (10) 1/2
fr (v\1)
The condiotional probabilities
Transcribed Image Text:Q2) The conditional probabilities of a binary transmission system with non-return zero signaling are as shown in the following figure. The priori probabilities po and p₁ are given as 0.2 and 0.8 respectively. Find the optimum threshold minimizing average error rate in the receiver. Compute the average error rate for that threshold. Hint: It is apparent that threshold should be in range [-1. 1]. Otherwise, one symbol will never be detected correctly. Since optimum threshold is given by the equation fr (210)_P1 fr (11) Po one should find root of fr (0) Po-fr (11) P₁ = 0. fr (10) 1/2 fr (v\1) The condiotional probabilities
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