The quadrature components of the clutter power spectrum are

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

Let \(\sigma_{c}=10 \mathrm{~Hz}\) and \(f_{r}=500 \mathrm{~Hz}\). Compute the improvement of the signal-to-clutter ratio when a double delay line canceler is utilized.