EC > GATE 2022 > Digital Communications
Consider a channel over which either symbol xA or symbol xB is transmitted. Let the output of the channel Y be the input to a maximum likelihood (ML) detector at the receiver. The conditional probability density functions for Y given xA and xB are:
fY|xA(y) = e−(y+1)u(y + 1),
fY|xB(y) = e(y−1)(1 − u(y − 1)),
where u(⋅) is the standard unit step function. The probability of symbol error for this system is _________ (rounded off to two decimal places).
fY|xA(y) = e−(y+1)u(y + 1),
fY|xB(y) = e(y−1)(1 − u(y − 1)),
where u(⋅) is the standard unit step function. The probability of symbol error for this system is _________ (rounded off to two decimal places).
Correct : 0.27
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