Filter Order

The maximum delay, in samples, used in creating each output sample is
called the *order*
of the filter. In the difference-equation representation, the order is
the larger of
and
in Eq.(5.1). For example,
specifies a particular second-order
filter. If
and
in
Eq.(5.1) are constrained to be finite (which is, of course,
necessary in practice), then Eq.(5.1) represents the class of all
*finite-order causal LTI digital filters*.

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University