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A New Closed-form Transfer Fuction for the Design of Wideband Lowpass MAXFLAT FIR filters with Zero Phase  

Jeon, Joon-Hyeon (동국대학교 정보산업대학 정보통신공학과)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.32, no.7C, 2007 , pp. 658-666 More about this Journal
Abstract
In general, the earlier linear-phase MAXFLAT(maximally flat) lowpass FIR filters have the main disadvantage of a gain response in the half frequency band $(0{\leq}w{\leq}{\pi}/2)$ by the closed form transfer functions used in design techniques for realizing them. Moreover, most of them has existent problems as follows : ripple error in the stopband, gentle-cutoff attenuation, phase and group delay and inexact cutoff frequency response. It is due to the approximation algorithms such as Chebyshev norm and Remez exchange which are used to approach MAXFLAT and linear-phase characteristics in frequency domain. In this paper, a new mathematically closed-form transfer function is introduced for the design of MAXFLAT lowpass FIR filters which have the zero-phase and wideband-gain response. In addition, we verify that the closed-form transfer function is easily realized due to our generalized formulas derived newly by using MAXFLAT conditions including an arbitrary cutoff point. This method is, therefore, useful for "simple and quick designs". Conclusively, we propose a technique for the design of new zero-phase wideband MAXFLAT lowpass FIR filters which can achieve sharp-cutoff attenuation exceeding 250 dB almost everywhere.
Keywords
FIR; Nonrecursive Filter; Zero-Phase Filter;
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