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A Design Approach to Linear‐Phase FIR Filters with Odd‐Symmetric Transition Bands Using Piecewise Exponential Functions
Author(s) -
SAITO HIROTO
Publication year - 2016
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.11774
Subject(s) - transition band , mathematics , finite impulse response , exponential function , digital filter , linear phase , piecewise linear function , frequency domain , filter (signal processing) , phase transition , piecewise , impulse response , control theory (sociology) , linear filter , network synthesis filters , mathematical analysis , prototype filter , topology (electrical circuits) , filter design , algorithm , electronic engineering , computer science , physics , engineering , control (management) , quantum mechanics , combinatorics , artificial intelligence , computer vision
SUMMARY This paper proposes a novel method for designing linear‐phase finite‐impulse response digital filters with an asymmetric transition band. The proposed filters use a form of piecewise exponential functions in the frequency domain where transition characteristics are determined by giving only two fixed feature points. The design method was evaluated in two ways. First, we evaluated a designed asymmetric transition band filter, and the results revealed that evaluated errors in the proposed filters were equivalent to well‐known existing filters. Then, it was shown that a three‐channel filter bank with an asymmetric transition band and linear‐phase property could be implemented.