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Which describes the relation between bandwidth and channel capacity?

  • A.Capacity depends on bandwidth alone
  • B.Capacity depends on signal-to-noise ratio alone
  • C.Capacity is fixed by the carrier frequency in use
  • D.Capacity rises with bandwidth and with signal-to-noise ratio

Answer: D

Shannon's result makes capacity proportional to bandwidth and logarithmic in the signal-to-noise ratio, so both matter and bandwidth is the more powerful lever. Depending on either alone would miss half the result. Carrier frequency does not enter the expression at all, though in practice higher carriers make wider bandwidths easier to obtain, which is why the two are often correlated in real systems.

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