Passive Synthesis of Compact Frequency-Dependent Interconnect Models via Quadrature Spectral Rules

In this paper, we present a reduced order inodeling methodology, based on the utilization of optimal non-uniform grids generated by Gaussian spectral rules, for the direct passive synthesis of SPICE-compatible modeling of multi-conductor interconnect structures. The algorithm is based on a PadC-Chebyshev approximation of the frequency-dependent input impedance matrix of the passive interconnect system The synthesized circuit is represented as the concatenation of a number of non-uniform sections of passive lumped coupled circuits. However, contrary to the popular uniform segmentation-based distributed circuit models for interconnects, where 10 to 15 segments per minimum wavelength are needed for multi-GHz accuracy, the proposed model is “optimal” in the sense that highly-accurate responses can be obtained with a number of segments per minimum wavelength barely exceeding the Nyquist limit of 2. This high accuracy stems from the super-exponential convergence of the Pade-Chebyshev ap...

• Type: Conference
• Year: 2003
• Where: ICCAD
• Authors: Traianos Yioultsis, Anne Woo, Andreas C. Cangellaris
• Keywords: Hardware, ICCAD 2003, Optimal Non-uniform Grids, Passive Equivalent Circuits, Passive Interconnect