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1. Consider the Probability distributions shown in Figure below, where the signal voltage for binary 1...
Input signal Output signal FIGURE P4.4 Probability of Error Calculatiorn 4.5 The formula for the ...
Input signal Output signal FIGURE P4.4 Probability of Error Calculatiorn 4.5 The formula for the optimum threshold in the receiver of Figure 4.4 is, in general, given by Equation (4.37). Discuss, in graphical terms, how this optimum choice affects the APTER 4BASEBAND PULSE TRANSMISSION contributions of the two terms in Equation (4.35) for the average probability of symbol error Pe by considering the following two cases: (a) po> P (b) Pi Po where po and p are the a priori...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] =...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] = m and Pr(X-1-1-m, and the error probability during the transmission from X and Y is p. 0 1-p Figure 1: A typical binary symmetric channel, where the input is X and the output is Y. a) Given that p-1/3 and m-3/4, find H(X), H (Y), H (YİX), and 1(X:Y). (8 marks) b) Still given p = 1 /3....
Question 1) Consider the following Cascade of two Binary symmetric channels (CBSC) with probabilities as indicated in the figure below 1. Find P(Y=1 / X=1 ), P(Y=0 / X=1) 2. Find P(Y=1 / X=0 ), P(Y=0...
Question 1)
Consider the following Cascade of two Binary symmetric
channels (CBSC) with probabilities as indicated in the
figure below
1. Find P(Y=1 / X=1 ), P(Y=0 / X=1)
2. Find P(Y=1 / X=0 ), P(Y=0 / X=0)
3. Find The Channel Matrix for
each BSC separately
4. Find The overall
Channel Matrix of the cascade channels
5. Assume that P1 = P2 =
Pe , Prove that the Channel Matrix is
M2
6. Use the assumptions and results in...
Input signal Output signal FIGURE P4.4 Probability of Error Calculatiorn 4.5 The formula for the optimum threshold in the receiver of Figure 4.4 is, in general, given by Equation (4.37). Discuss, in graphical terms, how this optimum choice affects the APTER 4BASEBAND PULSE TRANSMISSION contributions of the two terms in Equation (4.35) for the average probability of symbol error Pe by considering the following two cases: (a) po> P (b) Pi Po where po and p are the a priori...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] = m and Pr(X-1-1-m, and the error probability during the transmission from X and Y is p. 0 1-p Figure 1: A typical binary symmetric channel, where the input is X and the output is Y. a) Given that p-1/3 and m-3/4, find H(X), H (Y), H (YİX), and 1(X:Y). (8 marks) b) Still given p = 1 /3....
Question 1)
Consider the following Cascade of two Binary symmetric
channels (CBSC) with probabilities as indicated in the
figure below
1. Find P(Y=1 / X=1 ), P(Y=0 / X=1)
2. Find P(Y=1 / X=0 ), P(Y=0 / X=0)
3. Find The Channel Matrix for
each BSC separately
4. Find The overall
Channel Matrix of the cascade channels
5. Assume that P1 = P2 =
Pe , Prove that the Channel Matrix is
M2
6. Use the assumptions and results in...
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