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MMLU-Pro / 11355 / Givenf(t) = ^+…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Givenf(t) = ^+\infty\int_-\infty h(\sigma)\textphi(t - \sigma)d\sigma determine the power spectral density of f(t) in terms of the power spectral density of \textphi(t) and the Fourier transform of h(t).

category

engineering

options

  1. G_f(\omega) = ertH(\omega) ert^2 G_ extphi(\omega)
  2. \( G_f(\omega) = \frac{G_{\textphi}(\omega)}{|H(\omega)|^2} \)
  3. \( G_f(\omega) = H(\omega) G_{\textphi}(\omega)^2 \)
  4. \( G_f(\omega) = |H(\omega)|^2 / G_{\textphi}(\omega) \)
  5. \( G_f(\omega) = \frac{1}{|H(\omega)|^2} G_{\textphi}(\omega) \)
  6. \( G_f(\omega) = |H(\omega)| G_{\textphi}(\omega)^2 \)
  7. G_f(\omega) = ertH(\omega) ert^2 / G_ extphi(\omega)
  8. G_f(\omega) = H(\omega)^2 G_ extphi(\omega)
  9. \( G_f(\omega) = \frac{G_{\textphi}(\omega)}{H(\omega)} \)
  10. G_f(\omega) = ertH(\omega) ert G_ extphi(t)

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11355
task_id
5734a3b1-e6bf-56ae-aed3-4e251bab8b84
task_key
default--test--11355
task_revision_id
1
config / split
default / test

Official source

initial import