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GATE ECE 2009 | Question-9

A white noise process $X(t)$ with two-sided power spectral density $1 \times 10^{-10} \mathrm{~W} / \mathrm{Hz}$ is input to a filter whose magnitude squared response is shown below.


The power of the output process $Y(t)$ is given by

  1. $5 \times 10^{-7} \mathrm{~W}$
  2. $1 \times 10^{-6} \mathrm{~W}$
  3. $2 \times 10^{-6} \mathrm{~W}$
  4. $1 \times 10^{-5} \mathrm{~W}$
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