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On pole distribution in digital filters
Author(s) -
Rahman M. H.,
Fahmy M. M.
Publication year - 1975
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.4490030110
Subject(s) - transfer function , mathematics , pole–zero plot , electronic circuit , digital filter , filter (signal processing) , control theory (sociology) , topology (electrical circuits) , computer science , engineering , electrical engineering , combinatorics , control (management) , artificial intelligence , computer vision
Due to the discrete nature of the coefficients the poles and zeros of a digital filter transfer function cannot, in general, be realized exactly. This paper introduces a new concept ‘pole sparsity factor’ as a measure of the maximum possible pole deviation after tuning, for the case of second order circuits. A new second order circuit that exhibits lower pole sparsity factor compared to presently available circuits with the same number of multipliers is presented.