Consider a Gaussian monopulse with center frequency $$f_c=2$$ GHz and sampled at a rate of 100 GHz. Determine the cutoff time $$t_c$$ using the 'cutoff' option and compute the monopulse between $$-2t_c$$ and $$2t_c$$.

fc = 2e9;
fs = 100e9;

tc = gmonopuls('cutoff',fc);
t  = -2*tc:1/fs:2*tc;

y = gmonopuls(t,fc);

The monopulse is defined by the equation

where $$\sigma =t_c/2=1/(2\pi f_c)$$ and the exponential factor is such that $$y(\sigma )=1$$. Plot the two curves and verify that they match.

sg = 1/(2*pi*fc);

ys = exp(1/2)*t/sg.*exp(-(t/sg).^2/2);

plot(t,y,t,ys,'.')
legend('gmonopuls','Definition')

Consider a Gaussian monopulse with center frequency $$f_c=2$$ GHz and sampled at a rate of 100 GHz. Use the monopulse to construct a pulse train with a spacing of 7.5 ns.

Determine the width $$t_c$$ of each pulse using the 'cutoff' option. Set the delay times to be integer multiples of the spacing.

fc = 2e9;
fs = 100e9;

tc = gmonopuls('cutoff',fc);
D = ((0:2)*7.5+2.5)*1e-9;

Generate the pulse train such that the total duration is $$150t_c$$. Plot the result.

t  = 0:1/fs:150*tc;
yp = pulstran(t,D,'gmonopuls',fc);

plot(t,yp)