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A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is

  1. $\frac{\mathrm{P}_{m} \cos \theta}{2}$
  2. $\frac{\mathrm{P}_{m}}{4}$
  3. $\frac{P_{m} \sin ^{2} \theta}{4}$
  4. $\frac{P_{m} \cos ^{2} \theta}{4}$
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