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Modified rational function modeling for multi-port high-speed differential circuits

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1 Author(s)
Zeng, R.X. ; Math Works, Inc., Natick, MA

This paper presents a modified rational function modeling technique for multi-port high-speed differential circuit simulations. It models the differential channel and multi- aggressor crosstalk with modified rational functions extracted from the single-ended multi-port S-parameters of the circuit. The multi-port S-parameters of a high-speed circuit can be directly measured or simulated using electromagnetic simulators, and the poles and residues of the modified rational functions are determined by a vector fitting algorithm. Compared to the traditional rational function modeling, far fewer poles are needed to model a channel and crosstalk. With the modified rational function modeling technique, the output signals of the differential channel and crosstalk can be expressed in closed forms, providing a simple way to do quasi-analytic time-domain analysis of multi-port differential structures. The presented modeling technique is demonstrated for a 16-port high-speed electrical backplane.

Published in:

Microwave and Millimeter Wave Technology, 2008. ICMMT 2008. International Conference on  (Volume:2 )

Date of Conference:

21-24 April 2008