Premium
Designing monotonic low‐pass filters—comparison of some methods and criteria
Author(s) -
Rakovich Branko D.
Publication year - 1974
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.4490020302
Subject(s) - passband , stopband , monotonic function , mathematics , attenuation , legendre polynomials , chebyshev filter , legendre transformation , control theory (sociology) , mathematical analysis , computer science , band pass filter , physics , electronic engineering , engineering , optics , control (management) , artificial intelligence
A New Approach Has Been Presented To Find Characteristic Functions Of A Certain Class Of Monotonic Low‐Pass Filters Of Non‐Maximally Flat Type. The Well‐Known Legendre Filters, And The More Recently Introduced Class H Filters, Both Belonging To This Class, Are Derived As Special Cases Of The Application Of Least‐Squares Approximation Technique By Optimizing The Asymptotic Loss. It Is Shown That Class H Filters Provide Higher Stopband Attenuation Than The Legendre Filters But Have Less Favourable Passband Magnitude Response. On The Other Hand, If The Minimization Of The Passband Loss Is At A Premium Then The Unconstrained Least‐Squares Monotonic Approximants, Referred To As Lsm Filters, Yield The Best Results. Therefore, Among All Filters With Monotonic Magnitude Response, The Legendre Filters Have Neither Optimum Passband, Nor Optimum Stopband Performance, Though They Are Suitable For Some Applications.