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Phase Response



Definition. The phase response $ \Theta(\omega)$ of an LTI filter is defined as the phase (or angle) of the frequency response $ H(e^{j\omega T})$ :

$\displaystyle \zbox {\Theta(\omega) \isdefs \angle H(e^{j\omega T})}
$

The phase response is often referred to as the ``phase'' of the filter. For real filters (filters with real coefficients), the filter phase can be defined unambiguously as the phase of its frequency response.

The real-valued phase response $ \Theta(\omega)$ gives the phase shift in radians that each input component sinusoid will undergo.


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``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2014-03-23 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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