November 2012
Intermediate to advanced
794 pages
22h 9m
English
book
Probability, Random Variables, and Random Processes: Theory and Signal Processing Applications
by John J. Shynk
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PROBLEMS
Basic Random Processes
6.1 Suppose the sample space representing a random process is 
and let 
for 
. For equally likely ζ, specify the probability space 
for the random variables at t = 1 and t = 2, and sketch all realizations.
6.2 Let the sample space representing a random process be 
such that 
for 
. For uniformly distributed ζ, give the pdfs for the random variables at t = 2 and t = 4.
6.3 Consider the following random process which increases linearly with time:
(6.229) 
where a is a constant and X is uniformly distributed on [−1, 1]. Find the cdf and pdf Y(t) of for 
.
6.4 Let X(t
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