Order reducing method for non-linear circuit model based on direct progection and variation analysis

Abstract

The model order reducing technology is one very useful technology for raising circuit simulating and verifying speed in improving circuit design scheme. The present invention establishes one kind of directly projecting method of reducing order of non-linear circuit model, and features the combination of direct projection and variation analysis in control theory. The sub-system obtained through variation analysis is used in constituting son projection matrix V1, V2, ..., Vn; and the relation between the original system and the son system is then used in constituting united projection matrix V. The projection matrix V is finally used in realizing direct projection of one approximate non-linear system on the original non-linear system. Compared with the order reducing the sub-system method, the present invention has greatly raised order reducing precision and efficiency.

Description

technical field [0001] The invention belongs to the field of electronic technology, and in particular relates to a model order reduction method for nonlinear circuits and systems. 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] At present, more and more SOC chips are digital-analog hybrid. In the design of analog integrated circuits and digital-analog hybrid circuits, because most of the analog circuits are nonlinear circuits, the time spent on transient, steady-state and spect...

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Problems solved by technology

Similarly, the reduced-order error of the low-level subsystem (2) (3) will also enter the high-level subsystem (4), causing the accumulation of errors, resulting in poor accuracy of the reduced-order system

[0032] 2. The exponential growth of the input dimension of the high-level subsystem prevents the original nonlinear system from being reduced to a lower dimension

Therefore, the number of input ports increased by the power power will be quite large, making it difficult to reduce the order of the original nonlinear system to a lower dimension by the perturbation analysis technology based on the order reduction of the subsystems, especially for the order reduction accuracy. application

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