In this paper, novel z-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 for z-domain orthogonal vector fitting algorithm. Necessary theoretical foundations and validating examples are presented.

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Keywords High-speed interconnects, Macromodeling, Orthonormal rational functions, Physical system identification, Signal integrity, Tabulated data, Vector fitting
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Journal IEEE Transactions on Advanced Packaging
Nouri, B. (Behzad), Achar, R, & Nakhla, M.S. (2010). Z-domain orthonormal basis functions for physical system identifications. IEEE Transactions on Advanced Packaging, 33(1), 293–307. doi:10.1109/TADVP.2009.2019965