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Q#1 Random Variable and Random Process GATE EC 1991 MSQ +2 marks -0 marks

(a) A Gaussian random variable with zero mean and variance is input to a limiter with input output characteristic given by

Determine the probability density function of the output random variable.

(b) A random process X(t) is wide sense stationary. If

Determine the auto correlation function  and power spectral density  of Y(t) in terms of those of X(t).

(a)

(b)

(b)

None

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