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Why is an eight kilohertz sampling rate used for a 3.4 kilohertz telephone channel?

  • A.It leaves room for the anti-alias filter to roll off
  • B.It is exactly twice the channel's upper frequency limit
  • C.It matches the frame rate of the multiplex hierarchy
  • D.It minimises the quantisation noise the coder produces

Answer: A

Nyquist would allow 6.8 kHz, but a filter cannot fall from passband to stopband instantly, so the extra 1.2 kHz gives its transition band somewhere to live. It is not exactly twice the limit, the frame rate follows from the sampling rate rather than setting it, and quantisation noise depends on word length rather than sampling rate. Standard values almost always sit a little clear of a theoretical bound, and the margin is usually there for a component that cannot be ideal.

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