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2009•IEICE Electronics ExpressOpen access

FIR filter solution to unusual gain responses arising in Parks-McClellan algorithm

K. J. Kim, S.W. Nam

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Abstract

A linear-phase FIR filter with more than two bands, designed by employing the Parks-McClellan algorithm, may exhibit an undesirable gain response in the transition band. In this paper, a practical FIR filter solution to such undesirable results is proposed, whereby a modified sampling kernel and the complementary filter concept are utilized. In particular, the proposed approach provides a closed-form design of type-1 linear-phase FIR filters satisfying the given filter specification.

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A linear-phase FIR filter with more than two bands, designed by employing the Parks-McClellan algorithm, may exhibit an undesirable gain response in the transition band. In this paper, a practical FIR filter solution to such undesirable results is proposed, whereby a modified sampling kernel and the complementary filter concept are utilized. In particular, the proposed approach provides a closed-form design of type-1 linear-phase FIR filters satisfying the given filter specification.

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Available abstract

A linear-phase FIR filter with more than two bands, designed by employing the Parks-McClellan algorithm, may exhibit an undesirable gain response in the transition band. In this paper, a practical FIR filter solution to such undesirable results is proposed, whereby a modified sampling kernel and the complementary filter concept are utilized. In particular, the proposed approach provides a closed-form design of type-1 linear-phase FIR filters satisfying the given filter specification.

Key concepts: Filter (signal processing), Linear phase, Finite impulse response, Filter design, Algorithm, Transition band, Kernel adaptive filter, Control theory (sociology)

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