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Question: Consider the case of binary pulse amplitude modulation (PAM) signals in which the two possible signal points are $s_1 = -s_2 = sqrt{E_b}$, where $E_b$ is the energy per bit. The prior probabilities are P($s_1$) and P($s_2$). Assume that the transmitted signal is corrupted with AWGN (Additive White Gaussian Noise) with zero mean and variance of $sigma^2 = N_0/2$. a. For the optimum MAP (Maximum A Posteriori Probability) detector, determine the decision metric in terms of $E_b$, $N_0$, P($s_1$) and P($s_2$). b. If P($s_1$) = P($s_2$) = 1/2, find the decision metric and compare it with the result in a). c. Under the assumption that P($s_1$) = P($s_2$)=1/2, calculate the bit error probability.

          Question: Consider the case of binary pulse amplitude modulation (PAM) signals in which the two
possible signal points are $s_1 = -s_2 = sqrt{E_b}$, where $E_b$ is the energy per bit. The prior probabilities are
P($s_1$) and P($s_2$). Assume that the transmitted signal is corrupted with AWGN (Additive White
Gaussian Noise) with zero mean and variance of $sigma^2 = N_0/2$.
a. For the optimum MAP (Maximum A Posteriori Probability) detector, determine the decision
metric in terms of $E_b$, $N_0$, P($s_1$) and P($s_2$).
b. If P($s_1$) = P($s_2$) = 1/2, find the decision metric and compare it with the result in a).
c. Under the assumption that P($s_1$) = P($s_2$)=1/2, calculate the bit error probability.

Question: Consider the case of binary pulse amplitude modulation (PAM) signals in which the two
possible signal points are s1 = -s2 = sqrtEb, where Eb is the energy per bit. The prior probabilities are
P(s1) and P(s2). Assume that the transmitted signal is corrupted with AWGN (Additive White
Gaussian Noise) with zero mean and variance of sigma^2 = N0/2.
a. For the optimum MAP (Maximum A Posteriori Probability) detector, determine the decision
metric in terms of Eb, N0, P(s1) and P(s2).
b. If P(s1) = P(s2) = 1/2, find the decision metric and compare it with the result in a).
c. Under the assumption that P(s1) = P(s2)=1/2, calculate the bit error probability.

Added by Steven R.

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