How to create a semicircular pulse function?

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Matheus Angelo
Matheus Angelo 2018-12-2
评论： Image Analyst 2018-12-4
I need to write a function that adds a rectangularPulse, a triangularPulse and a semicircular pulse, but i can't find a way to do this. All the answers I find here plots directly the semicircle, but it doesn't create a function that i can add to others and it isn't a pulse.
Basically, what I'm trying to do is:
syms x
p = 4*rectangularPulse(-4,4,x);
a = (-pi)*triangularPulse(0,2,x);
c = (-1)*semicircularPulse(-4,0,x); %% where -4 is the rising edge of the pulse, 0 is the falling edge and the radius is 2. (|-4+0|/2)
fun = p + a + c;
fplot(fun, [-5 5])
But I still couldn't figure how I'm going to do this semicircularPulse function.
Thank you.

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回答（1 个）

Image Analyst
Image Analyst 2018-12-2
Have you seen the FAQ: How to create an arc? I bet you can figure it out from there.
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Matheus Angelo
Matheus Angelo 2018-12-4
I did exactly that, but I need to transform the semicircular in a pulse, like the rectangular pulse and the triangular pulse. Basically, I need a function that gives me 0 outside the semicircle, just like this but with a semicircle.TriangularPulseFunctionPlotTheTriangularPulseFunctionExample_01.png
Image Analyst
Image Analyst 2018-12-4
I don't have the Symbolic toolbox so all I can do is to do it numerically.
Basically just make a function that ignores the signal and makes an array that is all zero except it's 1 at x=0. Or make two ramps if there are lots of x values.
But your first question didn't seem to say that you wanted to transform the circle into a triangle. It seemed to say you need to create three differently shaped signals and simply add them together. So which is it?
  1. Create three signals and add together, or
  2. Make a transform that makes any signal into that triangle?

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