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Optimal design of lattice wave digital fractional‐order Butterworth filter
Author(s) -
Mahata Shibendu,
Kar Rajib,
Mandal Durbadal
Publication year - 2021
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2902
Subject(s) - butterworth filter , digital filter , mathematics , lattice (music) , network synthesis filters , filter (signal processing) , filter design , control theory (sociology) , chebyshev filter , prototype filter , electronic engineering , computer science , mathematical analysis , physics , engineering , electrical engineering , acoustics , control (management) , artificial intelligence
Summary This letter presents the design of digital fractional‐order Butterworth filter (DFOBF) of order ( n + α ) , where n is an integer, and α ∈ (0,1) , from the perspective of optimal realization. The magnitude–frequency characteristic of the DFOBF is optimally modeled using the computationally efficient lattice wave digital filters (LWDFs). Design examples for the third‐ and fifth‐order LWDF‐DFOBFs with various values of n , α , and cut‐off frequencies are presented.