An effective and globally convergent newton fixed-point homotopy method for MOS transistor circuits

Dan Niu, Xiao Wu, Zhou Jin, Yasuaki Inoue

    研究成果査読

    3 被引用数 (Scopus)

    抄録

    Finding DC operating points of nonlinear circuits is an important and difficult task. The Newton-Raphson method adopted in the SPICE-like simulators often fails to converge to a solution. To overcome this convergence problem, homotopy methods have been studied from various viewpoints. However, the previous studies are mainly focused on the bipolar transistor circuits. Also the efficiencies of the previous homotopy methods for MOS transistor circuits are not satisfactory. Therefore, finding a more efficient homotopy method for MOS transistor circuits becomes necessary and important. This paper proposes a Newton fixed-point homotopy method for MOS transistor circuits and proposes an embedding algorithm in the implementation as well. Moreover, the global convergence theorems of the proposed Newton fixed-point homotopy method for MOS transistor circuits are also proved. Numerical examples show that the efficiencies for finding DC operating points of MOS transistor circuits by the proposed MOS Newton fixed-point homotopy method with the two embedding types can be largely enhanced (can larger than 50%) comparing with the conventional MOS homotopy methods, especially for some large-scale MOS transistor circuits which can not be easily solved by the SPICE3 and HSPICE simulators.

    本文言語English
    ページ(範囲)1848-1856
    ページ数9
    ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
    E96-A
    9
    DOI
    出版ステータスPublished - 2013 9

    ASJC Scopus subject areas

    • 電子工学および電気工学
    • コンピュータ グラフィックスおよびコンピュータ支援設計
    • 応用数学
    • 信号処理

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