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Poles and zeros of bandpass filters for high‐performance sigma‐delta modulators
Author(s) -
Bellanger M.,
Vouillemont A.,
Azrouf S.,
Gourgue F.
Publication year - 1995
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.4490230502
Subject(s) - delta sigma modulation , band pass filter , realization (probability) , pole–zero plot , stability (learning theory) , digital filter , electronic engineering , control theory (sociology) , inverse , computer science , filter (signal processing) , topology (electrical circuits) , engineering , mathematics , transfer function , electrical engineering , cmos , artificial intelligence , statistics , geometry , control (management) , machine learning
High‐performance bandpass sigma‐delta modulators find applications in digital mobile radio for accurate analogue‐to‐digital conversion in receivers. An approach based on the positioning of the poles and zeros is proposed for the digital design of the high‐order loop filters which are required. Inverse notch filter sections are cascaded in a first step and then poles and zeros are moved to meet the performance objectives and achieve system stability. A distinct feature of the analysis and design technique presented is that it takes stability into account explicitly. Examples illustrate the practicality of the method as well as the level of performance which can be achieved in theory. the integrated circuit realization still has to be investigated to confirm the potential of the proposed design approach.