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Consider a random variable X that is passed through a system that has gain with clipping, defined by y = f(x) = 9.x, x≤a ga, x ≥ a -ga, x-a 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(x) (such as a Gaussian pdf). mah

Consider a random variable X that is passed through a system that has gain with clipping, defined by y = f(x) = 9.x, x≤a ga, x ≥ a -ga, x-a 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(x) (such as a Gaussian pdf). mah

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider a random variable X that is passed through a system that has gain with clipping, defined by g • x, |c| < a x > a = f(x) = ga, -ga, x< -a 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(x) (such as a Gaussian pdf). *E(Alt + A)
Transcribed Image Text:Consider a random variable X that is passed through a system that has gain with clipping, defined by g • x, |c| < a x > a = f(x) = ga, -ga, x< -a 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(x) (such as a Gaussian pdf). *E(Alt + A)
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