Identification of Linear Systems with Nonlinear Distortions
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Cites background from "Identification of Linear Systems wi..."
...Hence, a lower uncertainty is achieved for the BLA [64]....
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References
47,133 citations
"Identification of Linear Systems wi..." refers methods in this paper
...There exist a number of tools like the AIC and MDL criteria that are used to choose between different models (Akaike, 1974; Rissanen, 1978)....
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20,436 citations
"Identification of Linear Systems wi..." refers background or methods in this paper
...…in agreement with the classical result, showing that the output of a nonlinear system can be split in two parts (Bendat, 1990 and 1998; Forsell and Ljung, 1999): a first part that is linearly related with the input (in our case leading to ), and a second part that is uncorrelated with the input…...
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...For such a well selected model order and under the classical identifiability assumptions (Ljung, 1999), the following result is obtained: Theorem 5: Consider a system belonging to the set , excited with an excitation ....
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...The first one is the classical prediction error approach (Söderström and Stoica, 1989; Ljung, 1999) where a parametric plant and noise model are simultaneously estimated....
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...For the standard identification methods this is done implicitly during the estimation of the noise variance starting from the residuals (Söderström and Stoica, 1989; Ljung, 1999)....
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...INTRODUCTION 1 Identification of linear systems became a mature scientific discipline over the last decades (Ljung, 1999; Söderström and Stoica, 1989; Pintelon and Schoukens, 2001)....
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6,254 citations
"Identification of Linear Systems wi..." refers methods in this paper
...There exist a number of tools like the AIC and MDL criteria that are used to choose between different models (Akaike, 1974; Rissanen, 1978)....
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2,447 citations
"Identification of Linear Systems wi..." refers background in this paper
...(9) Note that this is the classical result for FRF measurements of linear systems (Bendat and Piersol, 1980)....
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2,031 citations
"Identification of Linear Systems wi..." refers methods in this paper
...A large number of proposed identification methods is based on this idea (Baumgartner and Rugh, 1975; Bendat, 1990; Bendat, 1998; Billings and Fakhouri, 1980; Billings and Fakhouri, 1982; Chen, 1995; Korenberh and Hunter, 1986; Korenberg, 1991; Sjöberg et al., 1995; Tan and Godfrey, 2002; Wysocki and Rugh, 1976; Wysocki and Wilson, 1979; Weiss et al., 1998)....
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...Also neural network and wavelet modelling can be fitted in this framework (Sjöberg et al., 1995; Juditsky et al., 1995; Nelles, 2001)....
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...…this idea (Baumgartner and Rugh, 1975; Bendat, 1990; Bendat, 1998; Billings and Fakhouri, 1980; Billings and Fakhouri, 1982; Chen, 1995; Korenberh and Hunter, 1986; Korenberg, 1991; Sjöberg et al., 1995; Tan and Godfrey, 2002; Wysocki and Rugh, 1976; Wysocki and Wilson, 1979; Weiss et al., 1998)....
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