An experimental expression for the clutter power spectrum density is [ W(f)=w_{0} exp left(-f^{2} / 2 sigma_{c}^{2} ight) ] where (w_{0}) is a constant. Show

An experimental expression for the clutter power spectrum density is

\[
W(f)=w_{0} \exp \left(-f^{2} / 2 \sigma_{c}^{2}\right)
\]

where \(w_{0}\) is a constant. Show that using this expression leads to the same result obtained for the improvement factor as developed in Section 10.4.