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This paper presents a parameterization theory of balanced truncation method (BTM) for any evenly distributed RC interconnect and transmission lines and their BTM reduction models. The parameterization theory shows that any evenly distributed RC line circuits of the same order have the same balanced gramian, BTM error upper bound, and BTM approximation error, which are independent of their RC parameters...
This paper presents an example of using the balanced truncation method (BTM) for a distributed RLC interconnect model reduction. The example shows a surprising result and some possible hidden phenomenon in model reduction methods. We find that a high order BTM model has much worse performance than a low order BTM model, in view of the original model and their step responses in the time domain. This...
This paper presents a parameterization theory of balanced truncation method (BTM) for any evenly distributed RC interconnect (or transmission) lines and their BTM reduction models. The parameterization theory shows that any evenly distributed RC interconnect line circuits of a same order have the same balanced gramian, BTM error upper-bound, and BTM approximation error, which are independent of their...
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