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MMLU-Pro / 11805 / A 4 kHz audio signal is transmitted using PCM technique. If the system operation…

Problem

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

question

A 4 kHz audio signal is transmitted using PCM technique. If the system operation is to be just above the thresh-old and the output signal-to-noise ratio is equal to 47 dB, find N, the number of binary digits needed to assign individual binary code designation to the M quantization level. i.e., M = 2^N. Given that S_O = output signal power = (I^2 / T_s^2) \bullet (M^2S^2 / 12) N_q= quantization noise power = (I^2/T_s) \bullet (S^2/12)(2f_m) N_th = thermal noise power = (I^2/T_s^2) [(P_e2^2NS^2) / (3)] whereP_e= error probabilityand (2^2N+2P_e) = 0.26(1) (Note: Signal is sampled at 2f_s wheref_sis thenyquistrate).

category

engineering

options

  1. 12
  2. 10
  3. 6
  4. 7
  5. 5
  6. 11
  7. 4
  8. 9
  9. 13
  10. 8

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11805
task_id
b2528333-19ab-571a-b147-00d630ca6636
task_key
default--test--11805
task_revision_id
1
config / split
default / test

Official source

initial import