EC > GATE 2025 > Detection Theory
A source transmits symbol S that takes values uniformly at random from the set {-2,0,2}. The receiver obtains Y=S+N, where N is a zero-mean Gaussian random variable independent of S. The receiver uses the maximum likelihood decoder to estimate the transmitted symbol S.
Suppose the probability of symbol estimation error Pe is expressed as follows:
Pe=α P(N>1),
where P(N>1) denotes the probability that N exceeds 1.
What is the value of α ?
A
1/3
B
1
C
2/3
D
4/3

Correct : c

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