Some exchange algorithms complementing the Parks-McClellan program for filter design

In this paper, several modiications of the Parks-McClellan (PM) program are described that treat the band edges diierently than does the PM program. The rst exchange algorithm we describe allows (1) the explicit speciication of p and s and (2) the speciication of the half-magnitude frequency, !o. The set of lowpass lters obtained with this algorithm is the same as the set of lowpass lters produced by the PM algorithm. We also nd that if passband monotonicity is desired in the design of lters having very at passbands it is also desirable to modify the usual way of treating the band edges. The second multiple exchange algorithm we describe produces lters having a speciied p and s but also includes a measure of the integral square error.

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