Signal transmission over binary symmetrical channel?

Posted on 2015-11-13 06:31:00 in Engineering by MARK

An info source transmits 0 s and 1 s. The probability of 0 s being transmitted is 0.2 and the probability of 1 s being transmitted is 0.8.

The output is transmitted over a binary symmetrical channel with probability of bit rate error equal to 0.1.

X is the symbol transmitted with values 0 or 1
Y is the symbol received with values 0 or 1

Find the probabilities:
1- of Y = 0
2- X = 0 and Y = 0
3- X = 0 when Y = 0 -> (X=0|Y=0)
4- X = 1 when Y = 0 -> (X=1|Y=0)
5- X = 0 or Y = 0

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