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MMLU-Pro / 11803 / The error due to thermal noise in a communication sys-tem is represented by a…

Problem

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question

The error due to thermal noise in a communication sys-tem is represented by a pulse train of amplitude\Deltam_S. Let P(t) = [(I\Deltam_s) / (\tau)] be the pulse slope,t\varepsilon[0, \tau] where \tau = (1 / 2f_m), calculate the power spectral density of the thermal noise,G_th(f) and the output noise power due to thermal noise error, N_th. Assuming that the duration of each error pulse is when the transmitted signal is (1 / 2f_m) sampled at theNyquistrate. Given:(\Deltam_s)^2 = [(2^2N-1) / (3n)] S^2 and T = (T_s /NP_e) is the Threshold equation \cong [{1} / {(16)2^2N}].

category

engineering

options

  1. 0.656 [{2^(2N+1)S^2P_eI^2} / {2 T_s}]
  2. 0.756 [{2^(2N+1)S^2P_eI^2} / {3 T_s}]
  3. 0.656 [{2^(2N)S^2P_eI^2} / {2 T_s}]
  4. 0.856 [{2^(2N)S^2P_eI^2} / {2 T_s}]
  5. 0.856 [{2^(2N-1)S^2P_eI^2} / {3 T_s}]
  6. 0.856 [{2^(2N)S^2P_eI^2} / {3 T_s}]
  7. 0.756 [{2^(2N)S^2P_eI^2} / {3 T_s}]
  8. 0.756 [{2^(2N)S^2P_eI^2} / {2 T_s}]
  9. 0.656 [{2^(2N)S^2P_eI^2} / {3 T_s}]
  10. 0.656 [{2^(2N-1)S^2P_eI^2} / {3 T_s}]

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11803
task_id
43e0d954-15ae-5d88-ac73-4432dc9a82a6
task_key
default--test--11803
task_revision_id
1
config / split
default / test

Official source

initial import