Derive an expression for the ambiguity function of a Gaussian pulse defined by \[
x(t)=\frac{1}{\sqrt{\sigma^{1 / 4}} \sqrt{\pi}} \exp \left\{\frac{-t^{2}}{2 \sigma^{2}}ight\} ; \quad 0where \(T\) is the pulse width and \(\sigma\) is a constant.