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Additive noise channel with the ternary valued noise

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Reference no: EM13866704

Problem: A Bernoulli( 2/1 ) distributed signal X is transmitted over an additive noise channel with the ternary valued noise W:

1022_Additive noise channel.jpg

where 0 < q < 1.

The output of the channel Y is the sum of the random variables X and W. The noise in the channel and the signal are independent.

1397_sum of the random variables.jpg

Find:

(1) The probability density function (pdf) of Y.

(2) The cumulative distribution function (cdf) of Y.

(3) P[Y ≤ ]1 and ] P[Y > 10.

(4) The expected value of Y , that is, ] E[Y.

Reference no: EM13866704

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