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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.


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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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