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X is a N(0, o2) random variable. This random variable is passed through a systen whose input-output relation is given by y = g(x). Find the PDF or the PMF of the output random variable Y in each of the following cases: Quantizer, g(x) = x, for an < x < an+1, 1 j, we have a; > aj.

X is a N(0, o2) random variable. This random variable is passed through a systen whose input-output relation is given by y = g(x). Find the PDF or the PMF of the output random variable Y in each of the following cases: Quantizer, g(x) = x, for an < x < an+1, 1 j, we have a; > aj.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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I need help, Im not sure how I would compute the PDF of the output random variable of the function. 

 

 

X is a N(0, o2) random variable. This random variable is passed through a systen whose input-output relation is given by y = g(x). Find the PDF or the PMF of the output random variable Y in each of the following cases:
Transcribed Image Text:X is a N(0, o2) random variable. This random variable is passed through a systen whose input-output relation is given by y = g(x). Find the PDF or the PMF of the output random variable Y in each of the following cases:
Quantizer, g(x) = x, for an < x < an+1, 1 <n < N, where x, lies in the interval [an, an+1], the sequence {a1, a2, ..., aN+1} satisfies the conditions aj = -00, aN +1 = 00, and for i > j, we have a; > aj.
Transcribed Image Text:Quantizer, g(x) = x, for an < x < an+1, 1 <n < N, where x, lies in the interval [an, an+1], the sequence {a1, a2, ..., aN+1} satisfies the conditions aj = -00, aN +1 = 00, and for i > j, we have a; > aj.
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