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A signal band-limited to \( 3.4 \ \mathrm{kHz} \) is sampled at \( 8 \ \mathrm{kHz} \) and coded to \( 8 \) bits. The bit rate is

  • A.64 kbit/s
  • B.27.2 kbit/s
  • C.32 kbit/s
  • D.128 kbit/s

Answer: A

Multiplying the sampling rate by the word length:

\[ 8000 \times 8 = 64 \ \mathrm{kbit/s} \]

which is 64 kbit/s, the standard telephony channel rate. 27.2 kbit/s wrongly uses the signal bandwidth in place of the sampling rate. 32 kbit/s halves it, and 128 kbit/s doubles it. The whole digital telephone hierarchy is built from this one product, so it is worth being able to reproduce it without hesitation.

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