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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2433832-cc36-4d01-b0f9-cbbfea9247f8%2F2a369e6d-2928-4f6d-95bd-3254bb800928%2Fg9mcqs_processed.jpeg&w=3840&q=75)
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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