Premium
Roundoff noise properties of second‐order digital notch filters
Author(s) -
Roy S. C. Dutta,
Patney R. K.
Publication year - 1978
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.4490060209
Subject(s) - transfer function , pole–zero plot , noise (video) , unit circle , mathematics , control theory (sociology) , digital filter , band stop filter , gradient noise , mathematical analysis , filter (signal processing) , noise measurement , noise floor , low pass filter , acoustics , computer science , noise reduction , physics , engineering , electrical engineering , control (management) , artificial intelligence , image (mathematics)
With regard to their roundoff noise properties, canonical second‐order recursive digital notch filters, with zeros on the unit circle and poles near them, are shown to fall in three distinct groups depending upon the zeros of their noise transfer functions (NTF's). One of the groups, having all‐pole NTF'S, shows large noise magnitudes but the noise behaviour is well defined. The second group shows low noise magnitudes that heavily depend upon the location of the zeros of their NTF's; these zeros are related to the transfer function coefficients in a particularly simple manner. When this dependence gets complicated, as for the third group, the noise properties are ill behaved.