Let Y (t) = ", where X(t) is a white noise random process with PSD = 10-6 Watts/Hz. Compute the power of Y (t) over a lowpass frequency band from –33 Hz to 33 Hz. Hint: the operation of differentiation is both linear and time-invariant.

Let Y (t) = ", where X(t) is a white noise random process with PSD = 10-6 Watts/Hz. Compute the power of Y (t) over a lowpass frequency band from –33 Hz to 33 Hz. Hint: the operation of differentiation is both linear and time-invariant.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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dX(t)
dt
Let Y (t)
-6°
where X (t) is a white noise random process with PSD 0 = 10-0
Watts/Hz. Compute the power of Y (t) over a lowpass frequency band from –33 Hz to 33 Hz.
1.
Hint: the operation of differentiation is both linear and time-invariant.

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