Closed-form design of generalized maximally flat low-pass FIR filters using generating functions
Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Journal Volume
1
Pages
472-475
Date Issued
2000-06
Date
2000-06
Author(s)
Wang, Peng-Hua
Abstract
In this paper, we propose a closed-form design of the generalized maximally flat low-pass FIR filters. By representing the transfer function as the Bernstein polynomial form, a simple generating function of the weighting coefficients is derived. We show that the linear phase maximally flat FIR filters and the nonlinear phase maximally flat half-band FIR filters are both special cases of the proposed filter. Closed-form expressions of both linear and nonlinear phase maximally flat FIR filters with prescribed degrees of flatness and delay can be easily obtained by the proposed method. © 2000 IEEE.
Other Subjects
Bandpass filters; Butterworth filters; Low pass filters; Signal processing; Approximation theory; Frequency response; Linear equations; Low pass filters; Nonlinear equations; Polynomials; Transfer functions; Bernstein polynomial; Closed form; Closed-form expression; Generating functions; Linear phase; Maximally flat; Nonlinear phase; Weighting coefficient; FIR filters; FIR filters; Bernstein polynomial; Closed form design; Generating functions; Weighting coefficient
Type
conference paper
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