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The Nyquist plot of a system is given in the figure below. Let \( \omega_P, \omega_Q, \omega_R, \) and \( \omega_S \) be the positive frequencies at the points \( P, Q, R, \) and \( S \), respectively. Which one of the following statements is TRUE?

  • GATE EC - 2025
  • GATE EC
  • Communication Systems
  • Channel Capacity
Consider an additive white Gaussian noise (AWGN) channel with bandwidth \( W \) and noise power spectral density \( \frac{N_0}{2} \). Let \( P_{{av}} \) denote the average transmit power constraint. Which one of the following plots illustrates the dependence of the channel capacity \( C \) on the bandwidth \( W \) (keeping \( P_{{av}} \) and \( N_0 \) fixed)?
  • GATE EC - 2025
  • GATE EC
  • Communication Systems
  • Channel Capacity