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Multiple real‐pole equal‐ripple rational (MRPER) approximation for lowpass RC‐active filters
Author(s) -
Biey Mario,
Premoli Amedeo
Publication year - 1980
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.4490080304
Subject(s) - stopband , passband , ripple , control theory (sociology) , mathematics , attenuation , transfer function , low pass filter , realization (probability) , active filter , topology (electrical circuits) , filter (signal processing) , computer science , band pass filter , electronic engineering , power (physics) , engineering , physics , electrical engineering , statistics , control (management) , optics , quantum mechanics , artificial intelligence , combinatorics , computer vision , voltage
A new class of lowpass rational transfer functions is defined, with equal‐ripple behaviour both in the passband and in the stopband. The proposed functions have a multiple real pole, which allows the realization of lowpass RC‐active filters by cascading more (than one) 3rd‐order blocks. These new functions, called multiple real‐pole equal‐ripple rational (MRPER), improve the attenuation performance with respect to a classical solution employing the same number of 2nd‐order blocks and hence may allow a reduction in the required number of active elements and, eventually, in power consumption and in noise‐to‐signal ratio. However, even if the number of active blocks cannot be reduced, the better attenuation performance, which results, allows component tolerances to relax.