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

Summary

This chapter has provided an overview of practical digital filter implementation, analysis, transformation, and display. The principal time-domain views were the difference equation and the impulse response. The signal flow graph applies to either time- or frequency-domain signals. The frequency-domain analyses were derived from the z transform of the difference equation, yielding the transfer function, frequency response, amplitude response, phase response, pole-zero analysis, alternate realizations, and related topics. We will take up these topics and more in the following chapters.

In the next chapter, we begin a more systematic presentation of the main concepts of linear systems theory. After that, we will return to practical digital filter analysis, implementation, and (elementary) design.


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

[How to cite this work] [Order a printed hardcopy]

``Introduction to Digital Filters with Audio Applications'', by Julius O. Smith III, (August 2006 Edition).
Copyright © 2007-02-02 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA  [Automatic-links disclaimer]