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On the sensitivity analysis of digital filters
Author(s) -
Liberatore A.,
Manetti S.
Publication year - 1980
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.4490080208
Subject(s) - sensitivity (control systems) , unitary state , set (abstract data type) , digital filter , computer science , function (biology) , filter (signal processing) , control theory (sociology) , algorithm , index (typography) , mathematics , topology (electrical circuits) , electronic engineering , engineering , artificial intelligence , control (management) , combinatorics , evolutionary biology , world wide web , political science , law , computer vision , biology , programming language
Abstract A very quick and simple algorithm for the overall evaluation of the sensitivity performance of a digital filter is introduced. To this end, it is shown that the sensitivity of the system function with respect to a given coefficient comes out equal to the output of a special digital network with unitary input. Having defined, then, an ‘overall sensitivity index’ as the sum of the various network sensitivities, it is shown that such an index can still be considered as the output of a digital network with unitary input. This network is composed of two subnetworks, identical to the original circuit, connected by a special set of branches.