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Measuring volterra kernels III: How to estimate the highest significant order
Author(s) -
Chua Leon O.,
Liao Youlin
Publication year - 1991
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.4490190206
Subject(s) - volterra series , representation (politics) , transfer function , mathematics , order (exchange) , frequency domain , series (stratigraphy) , linear system , algorithm , nonlinear system , computer science , mathematical analysis , engineering , paleontology , physics , electrical engineering , finance , quantum mechanics , politics , political science , law , economics , biology
Efficient methods were previously given for measuring the frequency‐domain transfer functions, namely Volterra kernels of weakly non‐linear systems. the success of these methods depends crucially on the assumption that the highest significant order of the system under test is known. Practical algorithms for determining the highest significant order of non‐linear systems are presented in this paper. Our algorithm can be used not only to validate the measurement results obtained by the methods presented earlier but is also capable of determining whether a Volterra series representation actually exists for the system under test.