How to make multiple sinc functions?

Question

Rohan Repale 2013-5-18

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Hi, I found out from the forum that this is the code for generating one sinc function,

x = -5:.01:5;
plot(x,sinc(x))

Now, can I do multiple of these, like one after the other? But I need to change the frequency after every sinc cycle, is it possible? it will be like a chirp wave with sinc function. Any help will be appreciated, thanks.

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Answer 1

Image Analyst 2013-5-18

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Do you mean like this:

x = -5:.01:5;
plot(x,sinc(x))
hold on
plot(x, sinc(x/3), 'r-');
plot(x, sinc(x/0.25), 'g-');

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Rohan Repale 2013-5-18

编辑：Rohan Repale 2013-5-18

Ya like that, but can they follow each other on the time scale? Like the first wave goes at 10k, second follows it at 20k and so on?

Image Analyst 2013-5-18

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Just shift the x, like this:

x = -5:.01:5;
plot(x,sinc(x))
hold on
plot(x, sinc((x-2)/3), 'r-');
plot(x, sinc((x-4)/0.25), 'g-');

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Answer 2

Youssef Khmou 2013-5-18

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hi,

Try the code provided by Image analyst, or try also this version :

 % different positions for peaks 
 x = -5:.01:5;
 center=[-2:0.2:2];
 for n=1:21
   M(:,n)=sinc(x-center(n));
 end
 plot(M)

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Youssef Khmou 2013-5-18

编辑：Youssef Khmou 2013-5-18

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ok Rohan, in this case you need to enlarge the support axis try :

x=-30:0.1:30;
center=[-20:4:20];
for n=1:length(center)
 M(:,n)=sinc(x-center(n));
end 
plot(x,M), grid on,

If you want more separating distance, you can change the step in vector "center" from 4 to n>4 .

Image Analyst 2013-5-18

sinc goes on forever, at least the theoretical formula for it because it's based on the sine function which goes on forever. Please say what criteria you want to use to decide where the sinc function "ends".

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