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In this paper, novelz-domain orthonormal basis functions are presented for physical systems identification. The new basis functions yield guaranteed real-valued time-domain responses for physical systems containing both real and complex-conjugate poles. Also, application of the new basis functions is demonstrated by adopting them forz-domain orthogonal vector fitting algorithm. Necessary theoretical foundations and validating examples are presented.
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Nouri et al. (2009) studied this question.
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