Difference Equation

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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

denotes the

th sample of the input signal,

is the output at time

, and

and

denote the feedforward and feedback coefficients, respectively. The signal flow graph is shown in Fig.3.1.

written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.

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