发表机构
University of Applied Sciences of Upper Austria（奥地利上奥应用科学大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对射频电路仿真中多速率PDE技术的局限，提出用于积分微分方程描述电路的多速率瞬态仿真新方法，以应对混合器件和脉冲波形挑战。
AI 中文摘要
多速率偏微分方程（PDE）技术被认为是射频（RF）电路仿真中最强大的方法之一。该方法通过偏微分方程重新表述底层常微分代数方程（DAE）。DAE的解沿PDE的特征曲线获得。数值求解技术包括（包络调制）谐波平衡（HB）、多步有限差分（FD）和样条/小波技术。当出现混合集总/分布器件且波形呈现脉冲形状行为时，所有技术都有缺点。此外，通信系统通过等效复基带（ECB）方法进行建模和仿真。信号和冲激响应通过其基带对应物描述，采用希尔伯特变换。因此，耦合系统/电路仿真需要新的数值技术来求解积分微分方程。
英文摘要
The multirate partial differential equation (PDE) technique is considered as one of the most powerful methods for the simulation of radio frequency (RF) circuits. The method reformulates the underlying ordinary differential algebraic equation (DAE) by a PDE. The DAE solution is obtained along a characteristic curve of the PDE. Numerical solution techniques comprise (envelope modulated) Harmonic Balance (HB), multistep finite difference (FD) and spline/wavelet techniques. All techniques have disadvantages when mixed lumped/distributed devices occur and the waveforms exhibit pulse shaped behavior. Furthermore, communication systems are modeled and simulated by the Equivalent Complex Baseband (ECB) approach. Signals and impulse responses are described by their baseband counterparts, employing the Hilbert transformation. A coupled system/circuit simulation requires therefore novel numerical techniques for the solution of integro-differential equations.
CommentsKeywords: RF circuit simulation, Multirate PDE technique, integro-differential equations, convolution integral, Harmonic Balance, Equivalent Complex Baseband
