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Consider a random variable X that is passed through a system that has gain with clipping, defined by g . x, x a y =
Consider a random variable X that is passed through a system that has gain with clipping, defined by g . x, x a y = f(x) = ga, -ga, where g and a are given positive constants. (a) Find Fy(y) in terms of Fx(x). Sketch Fy(y) for a given generic Fx(x) (such as a Gaussian CDF). (b) Find fy(y) in terms of fx(x). Sketch fy(y) for a given generic fx (r) (such as a Gaussian pdf)
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