How to create a periodic function?
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The function at [0,2] is y=x for [0,1] and y=2-x for [1,2], I want the above function repeated at [2,10], so I need a periodic funtion in the whole [0,10], who can help me code it ,thank you.
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Accepted Answer
James Tursa
on 25 Nov 2020
Not sure what you mean by "repeated at [2,10]". Maybe this:
y = mod(x,2);
ix = y > 1;
y(ix) = 2 - y(ix);
9 Comments
James Tursa
on 25 Nov 2020
Generic code could be:
% Periodic triangle wave
amplitude = whatever;
period = whatever;
y = mod(x,period);
ix = y > period/2;
y(ix) = period - y(ix);
y = (amplitude * 2 / period) * y;
More Answers (2)
David Hill
on 25 Nov 2020
y=zeros(size(x));
for k=1:5
y(x>=(k-1)*2&x<(k-1)*2+1)=x(x>=(k-1)*2&x<(k-1)*2+1);
y(x>=2*(k-1)+1&x<2*k)=2-x(x>=2*(k-1)+1&x<2*k);
end
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Image Analyst
on 25 Nov 2020
Then just use the code that you used to create the figure. It's what you want isn't it?
Setsuna Yuuki.
on 25 Nov 2020
You can use this function: https://es.mathworks.com/matlabcentral/fileexchange/83058-continuous-piecewise-function-linear-funcion-por-partes
x = [0:3:36];
y = [0 1 0 1 0 1 0 1 0 1 0 1 0];
sig = pwfun(x,y);
and create the waveform only with the intersection points.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/427373/image.jpeg)
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