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please solve the question with steps. Thanks.
4. Consider a digital communication receiver which maps the continuous received signal X to discrete points Y as described be
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Answer #1

The PDF of X is fx(I) = 0.5, -0.5 <r < 1.5 .

The PDF of Y defined as y J-1, I < 0 +1, I>0 is discrete with

Y taking value -1 when X is less than 0 and

T taking value 1 when X is greater than 0. Thus The PDF of Y is

fy(y) = (-95 fx()dx, y=-1 lo fx(0)dx, y=1 -050.5dx, y=-1 fy(y) = { 73 0.5dı, y=1 (0.25, y=-1 fy(y) = 0.75, y=1

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