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

Difference Equation

We first write the comb filter specification in a more ``mathematical'' form as a digital filter difference equation:

$\displaystyle y(n) = x(n) + g_1\, x(n-M_1) - g_2\, y(n-M_2), \protect$ (4.1)

where $ x(n)$ denotes the $ n$th sample of the input signal, $ y(n)$ is the output at time $ n$, and $ g_1$ and $ g_2$ denote the feedforward and feedback coefficients, respectively. The signal flow graph is shown in Fig.3.1.


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]