The quadrature components of the clutter power spectrum are, respectively, given by

\[
\begin{gathered}
\bar{S}_{I}(f)=\delta(f)+\frac{C}{\sqrt{2 \pi} \sigma_{c}} \exp \left(-f^{2} / 2 \sigma_{c}^{2}ight) \\
\overline{S_{Q}}(f)=\frac{C}{\sqrt{2 \pi} \sigma_{c}} \exp \left(-f^{2} / 2 \sigma_{c}^{2}ight) .
\end{gathered}
\]

Compute the \(d c\) and \(a c\) power of the clutter. Let \(\sigma_{c}=10 \mathrm{~Hz}\).