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If we relax the constraint that
be odd, then the simplest case
becomes the one-zero digital filter:
When
, the filter is linear phase, and its phase
delay and group delay are equal to
sample [365].
In practice, the half-sample delay must be compensated elsewhere in
the filtered delay loop, such as in the delay-line interpolation
filter [208]. Normalizing the dc gain to unity
removes the last degree of freedom so that
,
and
.
See
[456]
for related discussion from a software
implementation perspective.
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