The rectangular window may be defined as:

- ``Zero centered'' definition (
*even*in time domain) - Need odd in zero-centered case
- Scale window by to obtain unity dc gain

To see what happens in the frequency domain, we need to look at the DTFT of the window:

where we used the closed form of a geometric series:

We can factor out linear phase terms from the numerator and denominator of the above expression to get

where
denotes the *aliased sinc function*.

(also called the

Download Intro421.pdf

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Download Intro421_4up.pdf

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