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Statistical multiparameter sensitivity measure of gain and phase functions
Author(s) -
Acar C.,
Ghausi M.
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.4490050104
Subject(s) - sensitivity (control systems) , transfer function , measure (data warehouse) , phase (matter) , simple (philosophy) , mathematics , function (biology) , variance (accounting) , control theory (sociology) , computer science , physics , electronic engineering , engineering , data mining , artificial intelligence , philosophy , electrical engineering , accounting , control (management) , epistemology , quantum mechanics , evolutionary biology , biology , business
Statistical multiparameter sensitivity proposed by Rosenblum and Ghausi, for transfer function of a linear system, has been studied with regard to gain and phase sensitivities. It is shown that for small element changes a very simple relationship exists between these quantities. The integrand of these sensitivities are furthermore equivalent to the variance of magnitude and phase variations. Finally general formulas are derived which would simplify calculations for gain, phase as well as the transfer function. These formulas are helpful in optimization and comparison of various low sensitivity networks.