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http://dx.doi.org/10.5370/JEET.2009.4.3.423

An Analytical Approach for Design of Nth-band FIR Digital Filters with Equi-Ripple Passband  

Moon, Dong-Wook (Magnum Semiconductor Korea)
Kim, Lark-Kyo (Dept. of Electrical Engineering, Konkuk University)
Lim, Cheng-Chew (School of Electrical and Electronic Eng., The University of Adelaide)
Publication Information
Journal of Electrical Engineering and Technology / v.4, no.3, 2009 , pp. 423-428 More about this Journal
Abstract
In FIR (Finite Impulse Response) filter applications, Nth-band FIR digital filters are known to be important due to their reduced computational requirements. The conventional methods for designing FIR filters use iterative approaches such as the well-known Parks-McClellan algorithm. The Parks-McClellan algorithm is also used to design Nth-band FIR digital filters after Mintzer's research. However, a disadvantage of the Parks-McClellan algorithm is that it needs a large amount of design time. This paper describes a direct design method for Nth-band FIR Filters using Chebyshev polynomials, which provides a reduced design time over indirect methods such as the Parks-McClellan algorithm. The response of the resulting filter is equi-ripple in passband. Our proposed method produces a passband response that is equi-ripple to within a minuscule error, comparable to that of Mintzer's design method which uses the Parks-McClellan algorithm.
Keywords
Chebyshev polynomials; digital filter design; FIR filter; multi-rate filters; Nth-band filters;
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