Write a MATLAB program that computes and plots the 3-D and the contour plots for the results in Problem 8.3.

Data From Problem 8.3

Derive an expression for the ambiguity function of a Gaussian pulse defined by

\[
x(t)=\frac{1}{\sqrt{\sigma^{1 / 4}} \sqrt{\pi}} \exp \left\{\frac{-t^{2}}{2 \sigma^{2}}ight\} ; \quad 0\]

where \(T\) is the pulse width and \(\sigma\) is a constant.