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This paper presents state space closed forms and transfer function recursive algorithms for evenly distributed RC interconnect models and their even length-order (ELO) model reduction. The closed-forms have a computation complexity O(1). The characteristics of the ELO model simplification to its original model are revealed. It is shown that extremely high-order RC interconnects can be accurately approximated only by a tenth or higher order ELO model. The order may be reduced further when external ports are included and dominated. The results are useful to VLSI interconnect model reduction and design, and to control systems with a distributed transmission line.

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