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Output voltage, V, of a microphone is a Gaussian random variable with a mean of OV and variance of 2.8V2. Microphone output is processed by a limiting rectifier with cutoff at OV anc +4.2V. (Output below OV is clipped to OV, and output above 4.2 V is clipped to 4.2V.) Random variable L is the output of the limiter: a. What is the CDF of L? b. c. What is the PDF of L? What is the E[L]? 0 L = g(V) = {V 4.2 V < 0 0≤V≤4.2 V> 4.2

Output voltage, V, of a microphone is a Gaussian random variable with a mean of OV and variance of 2.8V2. Microphone output is processed by a limiting rectifier with cutoff at OV anc +4.2V. (Output below OV is clipped to OV, and output above 4.2 V is clipped to 4.2V.) Random variable L is the output of the limiter: a. What is the CDF of L? b. c. What is the PDF of L? What is the E[L]? 0 L = g(V) = {V 4.2 V < 0 0≤V≤4.2 V> 4.2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Output voltage, V, of a microphone is a Gaussian random variable with a mean of OV and variance of 2.8V2. Microphone output is processed by a limiting rectifier with cutoff at OV and +4.2V. (Output below OV is clipped to OV, and output above 4.2 V is clipped to 4.2V.) Random variable L is the output of the limiter: a. What is the CDF of L? b. What is the PDF of L? c. What is the E[L]? 0 L = g(V) = {V 4.2 V < 0 0≤V≤4.2 V> 4.2
Transcribed Image Text:Output voltage, V, of a microphone is a Gaussian random variable with a mean of OV and variance of 2.8V2. Microphone output is processed by a limiting rectifier with cutoff at OV and +4.2V. (Output below OV is clipped to OV, and output above 4.2 V is clipped to 4.2V.) Random variable L is the output of the limiter: a. What is the CDF of L? b. What is the PDF of L? c. What is the E[L]? 0 L = g(V) = {V 4.2 V < 0 0≤V≤4.2 V> 4.2
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