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Phase Delay and Group Delay

Phase Response:

$\displaystyle \zbox{\Theta(\omega) \mathrel{\stackrel{\mathrm{\Delta}}{=}}\angle H(e^{j\omega T})}
$

Phase Delay:

$\displaystyle \zbox{P(\omega) \mathrel{\stackrel{\mathrm{\Delta}}{=}}- \frac{\Theta(\omega)}{\omega}}$   (Phase Delay)

Group Delay:

$\displaystyle \zbox{D(\omega) \mathrel{\stackrel{\mathrm{\Delta}}{=}}- \frac{d}{d\omega}\Theta(\omega)}$   (Group Delay)


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Download Delay.pdf
Download Delay_2up.pdf
Download Delay_4up.pdf

``Computational Acoustic Modeling with Digital Delay'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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