A threshold comparator has input R=S+N where S is the signal level at the input of the comparator due to transmitted binary data and it takes value of "+2" and "−2" with probabilities 1/3 and 2/3 respectively. N is uniformly distributed noise variable with a variance of 12. The mean of noise variable is dependent upon the signal and is given as αS. The threshold of the receiver is chosen according to the MAP criterion and is fixed at (rth). The minimum value of |α| for which the probability of error for the decision making is equal to zero is ______.3

A threshold comparator has input R=S+N where S is the signal level at

1.	A threshold comparator has input R=S+N where S is the signal level at the input of the comparator due to transmitted binary data and it takes value of "+2" and "−2" with probabilities 1/3 and 2/3 respectively. N is uniformly distributed noise variable with a variance of 12. The mean of noise variable is dependent upon the signal and is given as αS. The threshold of the receiver is chosen according to the MAP criterion and is fixed at (rth). The minimum value of \|α\| for which the probability of error for the decision making is equal to zero is ______.3
Answer» A threshold comparator has input $R = S + N$ where $S$ is the signal level at the input of the comparator due to transmitted binary data and it takes value of $" + 2 "$ and $" - 2 "$ with probabilities 1/3 and 2/3 respectively. N is uniformly distributed noise variable with a variance of 12. The mean of noise variable is dependent upon the signal and is given as $α S$ . The threshold of the receiver is chosen according to the MAP criterion and is fixed at $(r_{t h}) .$ The minimum value of $\| α \|$ for which the probability of error for the decision making is equal to zero is ______. 3

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