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MMLU-Pro / 11343 / Apreemphasiscircuit of transfer function …

Problem

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

question

Apreemphasiscircuit of transfer function \vertHp(f)\vert^2 = k^2f^2 is used in an FM system, with the modulating signal having spectral density of G(f) = [{G_o} / {1 + (f / f_1)^2}] where f_1 << f_m. Determine a suitable value of k^2 such thatpreemphasisdoes not affect the bandwidth of the channel.

category

engineering

options

  1. k^2 \geq [{\pi} / {f_1(2f_m - \pif_1)}]
  2. k^2 \leq [{\pi} / {2f_1(2f_m + \pif_1)}]
  3. k^2 \leq [{2\pi} / {(f_1 + f_m)(2f_m)}]
  4. k^2 \leq [{\pi} / {f_1(2f_m)}]
  5. k^2 \leq [{4\pi} / {f_1(2f_m)}]
  6. k^2 \leq [{\pi} / {(f_1 + f_m)(2f_m - \pif_1)}]
  7. k^2 \leq [{\pi} / {f_1(f_m - \pif_1)}]
  8. k^2 \leq [{2\pi} / {f_1(2f_m - \pif_1)}]
  9. k^2 \leq [{\pi} / {f_1(2f_m - \pif_1)}]
  10. k^2 \leq [{\pi} / {f_1(2f_m + \pif_1)}]

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11343
task_id
93a26f5e-9e82-584a-b154-f75e9e26f99a
task_key
default--test--11343
task_revision_id
1
config / split
default / test

Official source

initial import