gmonopuls

Gaussian monopulse

Syntax

y = gmonopuls(t,fc)

tc = gmonopuls('cutoff',fc)

Description

y = gmonopuls(t,fc) returns samples of the unit-amplitude Gaussian monopulse with center frequency fc at the times indicated in array t.

tc = gmonopuls('cutoff',fc) returns the time duration between the maximum and minimum amplitudes of the pulse.

Examples

Gaussian Monopulse

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

$$y(t)=e^{1/2}(t/\sigma )\exp (-(t/\sigma {)}^2/2),$$

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')

Gaussian Monopulse Pulse Train

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)

Input Arguments

t — Time values

vector

Time values at which the unit-amplitude Gaussian monopulse is calculated, specified as a vector.

fc — Center frequency

1000 (default) | real positive scalar

Center frequency, specified as a real positive scalar expressed in hertz. By default, fc = 1000 Hz.

Output Arguments

y — Monopulse

vector

Monopulse of unit amplitude, returned as a vector.

tc — Time duration

scalar

Time duration between the maximum and minimum amplitudes of the pulse, returned as a scalar.

Tips

Default values are substituted for empty or omitted trailing input arguments.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced before R2006a