Open AccessButterworth transfer function with the equalised group delay response in the maximally flat sense
Author(s) -
Stojanović N.,
Krstić I.,
Stamenković N.,
Perenić G.
Publication year - 2018
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2018.5104
Subject(s) - transfer function , control theory (sociology) , filter (signal processing) , butterworth filter , group delay and phase delay , low pass filter , sense (electronics) , cascade , mathematics , constant (computer programming) , group (periodic table) , connection (principal bundle) , function (biology) , topology (electrical circuits) , high pass filter , computer science , engineering , physics , combinatorics , geometry , control (management) , quantum mechanics , artificial intelligence , evolutionary biology , electrical engineering , biology , chemical engineering , computer vision , programming language
An effective method for the design of the continuous‐time all‐pass network for the low‐pass filter group delay response equalisation is presented in this Letter. Since the method is derived from the maximally flat conditions at the origin of the group delay response's rational function, the cascade connection of the designed all‐pass network and low‐pass filter exhibits a constant group delay response at the origin in the flat sense. Illustrative examples regarding group delay equalisation of the Butterworth filters are given.