- #1

asdf12312

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**help understanding magnitude and phase of sinc functions??**

## Homework Statement

## Homework Equations

p

_{τ}(t) ⇔ τsinc([itex]\frac{τω}{2\pi}[/itex])

Δ

_{τ}(t) ⇔ [itex]\frac{τ}{2}[/itex]sinc

^{2}([itex]\frac{τω}{4\pi}[/itex])

sinc(x) = [itex]\frac{sin(\pi x)}{\pi x}[/itex]

## The Attempt at a Solution

My instructor had posted solutions to the problems:

I understand how to get the Fourier transforms, I was just having problems finding magnitude and phase graphs. For a) I don't know how they got amplitude near 1.5, but I know that in general for a single sinc function sinc(x), you will have zeroes at x

^{-1}. I also know that in general phase graphs of single sinc function will be

__+__180 deg (doesnt really matter what the sign is, I guess) when you have zeroes. I just don't understand how this works when there are multiple sinc or sinc

^{2}functions. And why the phase graphs are all sawtooth etc., when I was expecting just

__+__180deg.

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