benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11571 / Two thousand signals are sampled atNyquistrate by the sampling function S(t) = I…

Problem

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

question

Two thousand signals are sampled atNyquistrate by the sampling function S(t) = I ^\infty\sum_n=-\infty [t - (1 /f_s) n] wheref_sis the sampling rate. The signals are then time-division multiplexed. If each signal has a bandwidth of 5 kHz, calculate the sampling time T_s and determine\tau_maxfor pulses of duration \tau. (i. e. , stretched impulses).

category

engineering

options

  1. T_s = 2 × 10^-3 sec, \tau_max = 1.0 × 10^-6 sec
  2. T_s = 1 × 10^-2 sec, au_max = 0.5 × 10^-5 sec
  3. T_s = 2 × 10^-4 sec, \tau_max = 1.0 × 10^-7 sec
  4. T_s = 1.5 × 10^-4 sec, \tau_max = 0.75 × 10^-7 sec
  5. T_s = 1 × 10^-4 sec, au_max = 0.5 × 10^-7 sec
  6. T_s = 1 × 10^-5 sec, au_max = 0.5 × 10^-8 sec
  7. T_s = 3 × 10^-4 sec, \tau_max = 1.5 × 10^-7 sec
  8. T_s = 5 × 10^-5 sec, \tau_max = 2.5 × 10^-8 sec
  9. T_s = 1 × 10^-3 sec, au_max = 0.5 × 10^-6 sec
  10. T_s = 8 × 10^-5 sec, \tau_max = 4.0 × 10^-8 sec

src

stemez-ElectronicCommunications

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
11571
task_id
cb06801e-9b4a-53a1-b1a7-f9036d780e78
task_key
default--test--11571
task_revision_id
1
config / split
default / test

Official source

initial import