Title :
Closed-Form Design of Generalized Maxflat

-Regular FIR

th-Band Filters Using Waveform Moments
Author :
Zhang, Xi ; Kobayashi, Daisuke ; Wada, Tatsuya ; Yoshikawa, Toshinori ; Takei, Yoshinori
Author_Institution :
Dept. of Inf. & Commun. Eng., Univ. of Electro-Commun., Tokyo
Abstract :
Mth-band filters have found numerous applications in multirate signal processing systems, filter banks, and wavelets. In this paper, the design problem of generalized maxflat R-regular finite impulse response (FIR) Mth-band filters with a specified integer group delay at omega=0 is considered, and the closed-form expression for its impulse response is presented. The filter coefficients are directly derived by solving a linear system of Vandermonde equations that are obtained from the regularity condition of the maxflat R-regular FIR Mth-band filters via the blockwise waveform moments. Differing from the conventional FIR Mth-band filters with exactly linear phase responses, the generalized FIR Mth-band filters proposed in this paper have an arbitrarily specified integer group delay at omega=0. Moreover, a new efficient implementation of the generalized maxflat R-regular FIR Mth-band filters is proposed by making use of the relationship between the filter coefficients in the closed-form solution. Finally, several design examples are presented to demonstrate the effectiveness of the proposed FIR Mth-band filters
Keywords :
FIR filters; channel bank filters; signal processing; Mth-band filters; Vandermonde equations; blockwise waveform moments; filter banks; finite impulse response; generalized maxflat R-regular FIR; linear phase responses; multirate signal processing systems; waveform methods; Closed-form solution; Delay; Design methodology; Digital filters; Equations; Filter bank; Finite impulse response filter; Linear systems; Nonlinear filters; Signal processing algorithms; Closed-form design; finite impulse response (FIR) filter; maxflat filter; waveform moment;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2006.881192