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PARAMETRIC MODELING OF ELECTROMAGNETIC WAVEFORMS
"... The problem of modeling and approximating a waveform by a linear combination of basis functions containing a variable parameter is considered. It is shown that the Kalman equation error concept of linear system identification theory can, in a modified form, be applied to a large class of modeling pr ..."
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The problem of modeling and approximating a waveform by a linear combination of basis functions containing a variable parameter is considered. It is shown that the Kalman equation error concept of linear system identification theory can, in a modified form, be applied to a large class of modeling problems, provided the chosen basis function is a solution of a linear functional equation in Hilbert space. This class includes rational and Tauberian modeling problems, known to be of relevance for electromagnetic transient response and wide bandwidth radar return signature identification respectively. 1