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The Shannon-Hartley bound can be written in terms of path loss parameters by substituting in a...

The Shannon-Hartley bound can be written in terms of path loss parameters by substituting in a received power model for S, the received power; and in terms of the noise figure by substituting in the formula for noise power N. Assume that the S/N is high enough such that log2(1+S/N)log2⁡(1+S/N) is approximately log2S/Nlog2⁡S/N for high S/N, and use the Friis model for received power S. Consider the achievable bit rate for a 1 Hz bandwidth. Describe how the achievable bit rate changes when:

  • (i) the transmit power doubles
  • (ii) the antenna gains both double
  • (iii) the path length doubles
  • (iv) the noise figure doubles

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