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A modified sensitivity measure for linear digital systems
Author(s) -
Xiao Chengshan
Publication year - 1995
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.4490230505
Subject(s) - measure (data warehouse) , sensitivity (control systems) , constraint (computer aided design) , noise (video) , mathematics , state space , space (punctuation) , state (computer science) , algorithm , computer science , geometry , electronic engineering , engineering , statistics , database , artificial intelligence , image (mathematics) , operating system
In this paper a new sensitivity measure for state space systems is proposed. This new measure is a modified form of Tavsanoglu and Thiele's measure but has three advantages: (1) it is more precise than Tavsanoglu and Thiele's measure when the parameters of the state space realizations contain 0 and ±1; (2) it can be used to explain why the sparse Schur and Hessenberg realizations can give better actual sensitivity performance than the corresponding fully parametrized optimal realizations; (3) it is identical with the global round‐off noise gain G = tr( QW ) + y obtained by Hwang under a dynamic constraint.