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Let the relevant bandwidth $(B)$ of a digital communication system be $1 ~\text{MHz}$ and $k T=-174 \mathrm{~dBm} / \mathrm{Hz}$, where $k$ is Boltzmann's constant and '$T$' is equivalent noise temperature of the receiver. The power $(S)$ of signal received through an additive Gaussian channel is $-80 ~\text{dBm}.$

Which of the following options is/are TRUE about Shannon capacity ( $C$ ) of the channel?

  1. $C=B$
  2. $C=2 B$
  3. $C>3 B$
  4. $C < B$

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