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We investigate appropriate regimes for transmission line propagation of signals on digital integrated circuits. We start from exact solutions to the transmission line equations proposed by Davis and Meindl. We make appropriate modifications due to finite rise time. They affect the delay calculation and hypothesis pertaining the constancy of the… (More)

—We propose an efficient method to accurately compute the frequency-dependent impedance of VLSI interconnects in the presence of multilayer conductive substrates. The resulting accuracy (errors less than 3%) and CPU time reduction (more than an order of magnitude) emerge from three different ingredients: a 2-D Green's function approach with the correct… (More)

We present an efficient and scalable framework for the generation of guaranteed passive compact dynamical models for multiport structures. The proposed algorithm enforces passivity using frequency independent linear matrix inequalities, as opposed to the existing optimization based algorithms which enforce passivity using computationally expensive frequency… (More)

We propose a computationally efficient method to calculate, with high accuracy, the mutual impedance between two wires in the presence of multilayer substrates, as needed for high frequency CAD applications. The resulting accuracy (errors smaller than 2%) and CPU time reduction (factors of seven) emerge from three different ingredients: a two dimensional… (More)

We present an efficient and highly accurate approach to high-frequency impedance extraction for VLSI interconnects and intentional on-chip inductors. The approach is based on a three-dimensional (3D) loop formalism that uses discrete complex images approximations applied to a quasi-magnetostatic treatment of the vector potential, resulting in closed-form… (More)

In our paper [1], there was an error in (17). The expression for the term q(λ) should be q(λ)= (m 1 +m 2)(m 2 −m 3)+(m 1 − m 2)(m 2 + m 3)e 2m 2 z 2 (m 1 − m 2)(m 2 − m 3) + (m 1 + m 2)(m 2 + m 3)e 2m 2 z 2. (1) This affects the evaluation of the term g N (λ) for a 3-layer substrate (N = 3). For the experiments shown in this paper, we have chosen the… (More)