I don't understand why the frequency spectrum of a trapezoidal signal looks like this. I was expecting either a $\mathrm{sinc}$ or a $\mathrm{sinc}^2$, but it seems to be a combination of both.
$\begingroup$
$\endgroup$
0
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
A trapezoid can be created by convolving two rectangles with DIFFFERENT width. In your case it's a rectangle of width 2 convolved with a rectangle of width 2.5
So the spectrum is the product of two sinc functions, but with different frequencies. This creates the interference pattern that you see.
