In this exercise, a proof of equation (7.73) is constructed. Write the random sum as Where is

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In this exercise, a proof of equation (7.73) is constructed. Write the random sum as

Where is a Bernoulli random variable in which Yi = 1 if N ‰¥ i and Yi = 0 if .
(a) Prove that Yi and are Zi independent and hence

(b) Prove that the equation of part (a) simplifies to

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Probability and Random Processes With Applications to Signal Processing and Communications

ISBN: 978-0123869814

2nd edition

Authors: Scott Miller, Donald Childers

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Question Posted: Nov 20, 2015 12:07 AM

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In this exercise, a proof of equation (7.73) is constructed. Write the random sum as Where is

Question:

| 5, -Σ1-Σ1Ζ. ΣΙΖ, i = 1 i = 1

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The value of Yi is determined by whether or not the test terminates ...View the full answer

Probability and Random Processes With Applications to Signal Processing and Communications

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