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• W1569795641 abstract "This paper presents a framework to analyze rational orthononiial basis functions for modeling and identification of discrete time linear dynamical systems. By using properties of orthogonal all-pass filters and multi-linear mappings, the transformation analysis of Laguerre models is extended to general Orthononiial Basis Functions (OBF) models. The basic idea is to map the system into a new domain, so that the energy of the impulse response of the transformed system is concentrated to its initial phase. Hence, the transformed system can be well approximated by a low order finite impulse response model. This approximate model is then transformed back to the original domain. This leads to an OBF model, which has infinite impulse response and is linear in the unknown parameters. Hence, such a model can be used in linear regression least squares system identification. Powerful tools for analyzing the properties of the corresponding transfer function estimates are provided." @default.
• W1569795641 created "2016-06-24" @default.
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• W1569795641 date "1999-07-01" @default.
• W1569795641 modified "2023-10-03" @default.
• W1569795641 title "Orthonormal basis functions models: A transformation analysis" @default.
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• W1569795641 doi "https://doi.org/10.1016/s1474-6670(17)56703-8" @default.
• W1569795641 hasPublicationYear "1999" @default.
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