plot a signal in the freq domain

Hello!! I am trying to plot this function X= m*((sin(pi*f/2*m)*sin(pi*f/n))/pi*f*cos(pi*f/2*m))^2;
that is in the freq domain, but when I get the plot is empty. This function is the theorically spectrum of a BOC modulation, so I guess that I can not do fft or pwelch or stuff like that, so I dont know how to plot it in the f domain. I thought is gonna be samething easy as
for f=1:100:100000;
X= m*((sin(pi*f/2*m)*sin(pi*f/n))/pi*f*cos(pi*f/2*m))^2;
end
plot(f,X)
but is not working I will appreciate a lot is someone can give me a hint Thanks in advance Nicolas

2 Comments

When you say plot is empty, did you check what's in X?
what are 'm' and 'n' here?

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 Accepted Answer

If the code is setup exactly the way you say above, then there is only one element in "f" and one element in "X". You need to do something like this instead:
% Define m and n
f = 1:100:100000;
X = zeros(size(f)); % Preallocate
for ii=1:numel(f)
X(ii)= m*((sin(pi*f(ii)/2*m)*sin(pi*f(ii)/n))/pi*f(ii)*cos(pi*f(ii)/2*m))^2;
end
Or... skip the for loop
X = m*((sin(pi*f/2*m).*sin(pi*f/n))/pi.*f.*cos(pi*f/2*m)).^2;
Then
plot(f,X)

3 Comments

Hello!!
Thanks, now I am plotting the image but is not what I was expecting, but this is another thing...
thanks you
hello elige!!
now, I am doing something similar but I am getting an error cause of the difference vectors length but look what I wrote, so I dont know where is the mistake
Tc=1*10^-3;
a=1:100:1000000;
R=zeros(size(a));
for f=1:numel(a)
R(f)=i*Tc*sinc(f*Tc/2)*sin(pi*f*Tc/2);
end
plot(a,R);
where i is the imaginary unit
You are using "f" inside your sinc and sin functions, but I think you meant to use "a(f)" instead.

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More Answers (1)

try the following:
define m and n;
m=1;
n=1;
format long
for f=1:100:100000;
X=[X m*((sin(pi*f/2*m)*sin(pi*f/n))/pi*f*cos(pi*f/2*m))^2];
end
plot(f,X)

1 Comment

Hi!
The code that you gave me had a problem, but I solved. Thanks a lot anyway

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