Cost reducing method for RCS interconnected circuit with multi-output and multi-input

Abstract

An order reducing method includes setting up second order system equation to describe the interconnected circuit, carrying out frequency shift and linearization for the secondary system, using second order block Arnoldi algorithm to obtain a set of orthogonal standard base, obtaining order reduced secondary system by orthogonal projection, linearizaing the secondary system to be primary circuit equation with block structure in original secondary equation for obtaining small size RCS equivalent circuit.

Description

technical field [0001] The invention belongs to the field of model reduction of linear circuits, and in particular relates to a method for reducing the order of a multi-input multi-output RCS interconnection circuit. technical background [0002] Integrated circuits have been developed to the point where electronic systems containing more than 1 billion devices can be integrated on a single chip, that is, System on One Chip (SOC). For millions of large-scale circuits, how to quickly and accurately simulate and verify the correctness of its design within a reasonable time has become a bottleneck in the design of system-on-chip (SOC). According to statistics, the time for SOC chip simulation verification has accounted for 70% of the entire design time. [0003] In the ultra-high-speed ultra-deep sub-micron SOC design, the performance of interconnect lines greatly affects the performance of the entire chip. Crosstalk and delay problems when signals propagate on interconnect l...

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Problems solved by technology

However, when directly applied to the first-order system representation of RCS interconnection circuits, PRIMA cannot guarantee the passive properties of the reduced-order system

In the second-order system model reduction technology, the ENOR[5] and SMOR[4] algorithms have the problems of numerical instability and limited moment matching accuracy respectively. The SAPOR proposed in the literature [8] is a numerically stable binary The first-order system model algorithm can guarantee the passive characteristics of the system after order reduction, and at the same time ensure accurate moment matching, but SAPOR is only suitable for RCS interconnection circuits with single input and single output

[0036] (2) For the special circuit system of B=L, PRIMA cannot guarantee the passivity and 2k-order block-moment matching of the reduced-order system at the same time

Therefore, the reduced-order system obtained by SMOR cannot exactly match the moments of the original system, and the moment matching accuracy cannot be guaranteed

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