benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 11481 / A sinusoidal signal in the frequency range 0.4 to 4.4 KHz is being sampled at a…

Problem

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

question

A sinusoidal signal in the frequency range 0.4 to 4.4 KHz is being sampled at a rate equal to four times theNyquistrate. If this signal is received by a receiver of signal-to-noise ratio {(s_i) / (\eta} = 10^6 after being quantized by a 256 levelquantizer at the transmission end, calculate (a) The time T between samples. (b) The number of bits N and the probability of error if the quantized signal is encoded into a binary PCM waveform. (c) The probability of error,P_e, if the signal is encoded into 1 to 256 orthogonal signals.

category

engineering

options

  1. T = 5.125 microseconds, N = 6 bits, P_e = 10^-3
  2. T = 3.125 microseconds, N = 8 bits, P_e = 10^-5
  3. T = 3.75 microseconds, N = 10 bits, P_e = 10^-5
  4. T = 2.5 microseconds, N = 7 bits, P_e = 10^-4
  5. T = 2.875 microseconds, N = 7 bits, P_e = 10^-2
  6. T = 2.25 microseconds, N = 8 bits, P_e = 10^-6
  7. T = 1.25 microseconds, N = 7 bits, P_e = 10^-7
  8. T = 4.5 microseconds, N = 9 bits, P_e = 10^-4
  9. T = 4.125 microseconds, N = 9 bits, P_e = 10^-6
  10. T = 3.5 microseconds, N = 8 bits, P_e = 10^-3

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
11481
task_id
31709a16-b8af-5163-9157-675cbb76f8a3
task_key
default--test--11481
task_revision_id
1
config / split
default / test

Official source

initial import