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 . In practice, the half-sample delay must be compensated elsewhere in the filtered delay loop, such as in the delay-line interpolation filter . Normalizing the dc gain to unity removes the last degree of freedom so that , and .
See  for related discussion from a software implementation perspective.