How to plot Message Signal using MATLAB ?? (Quick Question Need Help)

Hi,
I have an output for a FM transmitter in the form:
y(t) = cos ( 2*pi*t + 2*pi (integral from 0,t of m(tau) dtau ) )
I need to create a message signal of the following:
m_1(t) =
{
1 when cos(t) >= 0
-1 when cos(t) < 0
}
I need to create the message signal above in MATLAB and then find the corresponding FM signal.
However, I am unclear on how to graph the message signal.. Can you please show me how?
Thank you.

 采纳的回答

First, note that the integral of the message will be zero up to any multiple of 2*pi. The integral will then be a piecewise linear function that only requires evaluating on [0,2*pi). It's straightforward to do this by hand
pp = interp1([0, pi/2, 3*pi/2, 2*pi], [0, pi/2, -pi/2, 0], 'linear', 'pp');
int_m = @(t) ppval(pp, mod(t, 2*pi));
Then a plot of your FM signal will be
fplot(@(t) cos(2*pi*t) + 2*pi*(int_m(t)), [0 20])

更多回答(2 个)

m_1 = @(t) 2*(cos(t) >= 0) - 1
t = linspace(0, 100);
stairs(t, m_1(t))

3 个评论

Thanks!
So if i want to find the corresponding FM signal
would this be the correct code:
fplot(@(t) cos((2*pi*t) + 2*pi*(quad(m_1,0,t)))
??
Thanks!
No, don't do that, it will be horrible!! (not wrong, just horrible)
See new answer below
Well the question asks to find the corresponding FM signal for frequency = 1 in the equation
FM transmitter:
y(t) = cos(2pi*t + 2pi(frequency) * integral (0 to t) of m(tau) dtau
so how would i do that?

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Try a stair plot.

1 个评论

but m_1(t) changes value all the time, so its not constant..
it's basically a bunch of unit step functions added together but i don't know how to code that ..

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