rectangularPulse: no drop to 1/2 at edges

Hello I want to do the fourier of a rectangular pulse which is also 1 at the edges, so that the fourier returns a sinc function. rectangularPulse drops to 1/2 at the edges and does not seem to return the equivalent function if I plot the result vs. a sinc function. I tried ceil but this is not accepted with the fourier function.

Thanks a lot!

Answer 1

[Image Analyst]

So just create it manually

myPulse = [0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ];

[Image Analyst]

T's "Answer" moved here since it's not an answer to the original question.

I can't, the width of the rectangular pulse depends on a syms variable :/ And besides that, I dont think fourier(myPulse,f,y) would work then anymore anyway.

[Image Analyst]

Make it depend on the variable:

signalLength = 512; % whatever.
myPulse = zeros(1, signalLength);
startingIndex = 20; % Whatever
pulseWidth = 64; % Whatever, e.g. your syms variable value.
myPulse(startingIndex:(startingIndex + pulseWidth - 1)) = 1;

Answer 2

[Matthew Suttinger]

If you don't mind converting it to a double after applying inputs, wrap the result in the ceil() function.

y = ceil(rectangularPulse(x_start,x_end,x_values));
class(y) % ans = 'double'