CLOSED-FORM DESIGN OF MAXFLAT R-REGULAR FIR MTH-BAND FILTERS WITH ARBITRARY GROUP DELAY USING WAVEFORM MOMENTS (TueAmPO1)

Author(s) : Xi Zhang (Nagaoka University of Technology, Japan) Daisuke Kobayashi (Nagaoka University of Technology, Japan) Tatsuya Wada (Nagaoka University of Technology, Japan) Toshinori Yoshikawa (Nagaoka University of Technology, Japan) Yoshinori Takei (Nagaoka University of Technology, Japan)

Abstract : Mth-band filters have been found numerous applications in multirate signal processing systems, filter banks and wavelets. In this paper, a new closed-form expression is presented for the impulse response of the maxflat R-regular FIR Mth-band filters with arbitrary group delay. The filter coefficients are directly obtained by solving a linear system of Vandermonde equations that are derived from the regularity conditions via waveform moments. Moreover, the group delay of the proposed FIR $M$th-band filters can be arbitrarily specified. Finally, some design examples are presented to demonstrate the effectiveness of the proposed maxflat R-regular FIR Mth-band filters.

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