Numerous algorithms to macromodel a linear time-invariant (LTI) system from its frequency-domain sampling data have been proposed in recent years [1, 2, 3, 4, 5, 6, 7, 8], among which Loewner matrix-based tangential interpolation proves to be especially suitable for modeling massive-port systems [6, 7, 8]. However, the existing Loewner matrix-based method follows vector-format tangential interpolation (VFTI), which fails to explore all the information contained in the frequency samples. In this paper, a novel matrix-format tangential interpolation (MFTI) is proposed, which requires much fewer samples to recover the system and yields better accuracy when handling under-sampled, noisy and/or ill-conditioned data. A recursive version of MFTI is proposed to further reduce the computational complexity. Numerical examples then confirm the superiority of MFTI over VFTI.
['Yuanzhe Wang', 'Chi-Un Lei', 'Grantham K. H. Pang', 'Ngai Wong']
MFTI: matrix-format tangential interpolation for modeling multi-port systems