This paper investigates a technique for extracting a half-band FIR filter from a lowpass root FIR. Employing this technique with a root filter designed with an optimal least squares algorithm can result in a half-band FIR with very low ripple over most of the pass-band and stop-band, at the expense of ripple size at the band-edges. The principal advantage of this technique is in the design of half-band FIRs with less priority to band-edge ripple without the manipulation of an arbitrary weighting function.
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