Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

Phase and Group Delay

In the previous sections we looked at the two most important frequency-domain representations for LTI digital filters, the transfer function $ H(z)$ and the frequency response:

$\displaystyle H(e^{j\omega T}) \isdefs \left.H(z)\right\vert _{z=e^{j\omega T}}
$

We looked further at the polar form of the frequency response $ H(e^{j\omega T})=
G(\omega)e^{j\Theta(\omega)}$ , thereby breaking it down into the amplitude response $ G(\omega)$ times the phase-response term $ e^{j\Theta(\omega)}$ .

In the next two sections we look at two alternative forms of the phase response: phase delay and group delay. After considering some examples and special cases, poles and zeros of the transfer function are discussed in the next chapter.



Subsections
Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search

[How to cite this work]  [Order a printed hardcopy]  [Comment on this page via email]

``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (September 2007 Edition).
Copyright © 2015-04-22 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA