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Sensitivity of third‐ and higher‐order filters
Author(s) -
Roy S. C. Dutta,
Bhargava D. K.
Publication year - 1977
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.4490050304
Subject(s) - sensitivity (control systems) , realization (probability) , root (linguistics) , mathematics , simple (philosophy) , zero (linguistics) , function (biology) , third order , order (exchange) , pole–zero plot , transfer function , algorithm , mathematical analysis , statistics , electronic engineering , engineering , linguistics , philosophy , theology , epistemology , finance , evolutionary biology , economics , biology , electrical engineering
For any realization of a network function F ( s ) = N ( s )/ D ( s ), the sensitivities that can be most readily calculated are those of the coefficients in N ( s ) and D ( s ). A simple relationship is derived that enables one to calculate the root (pole and zero) sensitivities of F ( s ) in terms of the coefficient sensitivities. The root sensitivities, in turn, enable one to calculate the root pair Q and root frequency sensitivities, which can be used to characterize and compare different realizations of F ( s ). Application to 3rd‐ and 4th‐order filters reveals formulations that are more elegant than those already known in the literature.