# Questions (235)

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5-5.3 A random process has sample functions of the form 00 X(t) = L Af(t - nT - to) n=-oo where A and T are constants and to is a random variable that is uniformly distributed between 0 and T. The function f(t) is defined by and zero elsewhere. a) Fi...
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5-5.2 State whether each of the processes described in Problem 5-4.2 is ergodic or nonergodic and give reasons for your decision.
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5-5.1 A random process has sample functions of the form X(t) =A where A is a Rayleigh distributed random variable with mean of 4. a) Is this process wide sense stationary? b) Is this process ergodic?
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5-4.2 A random process has sample functions of the formĀ 207 X (t) = A cos (wt + 8) where A and w are constants and (} is a random variable. a) Prove that the process is stationary in the wide sense if (} is uniformly distributed between 0 and 21l'. b...
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5-4.1 State whether each of the random processes described in Problem 5-2. 1 may reasonably be considered to be stationary or nonstationary. If you describe a process as nonstationary, state the reason for this claim.
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5-3.2 Sample functions from a deterministic random process are described by X (t) = At+B t ==: O = 0 t < 0 where A is a Gaussian random variable with zero mean and a variance of 9 and B is a random variable that is uniformly distributed between 0 ...
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5-3.1 State whether each of the random processes described in Problem 5-2. l is deterministic or nondeterministic.
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5-2.2 A Gaussian random process having a mean value of 2 and a variance of 4 is passed through an ideal half-wave rectifier. a) Let Xp (t) represent the random process at the output of the half-wave rectifier if the positive portions of the input app...
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