Advance Interconnect Circuit Modeling Design Using Fractional-Order Elements
Advance Interconnect Circuit Modeling Design Using Fractional-Order Elements
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DOI：
10.1109/tcad.2019.2962779
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发表时间：
2020-10
影响因子：
2.9
通讯作者：
Mohammed Al-daloo;A. Soltan;A. Yakovlev
中科院分区：
文献类型：
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作者：
Mohammed Al-daloo;A. Soltan;A. Yakovlev
目前，互连电路的导通性能对整个系统的性能起着至关重要的作用，尤其是与纳米技术相关的系统。对这样一个有影响力的成分的影响进行建模已经从许多角度得到了广泛的研究。本文利用分数阶元素法，提出了一种新的适用于CMOS工艺中的$RLC$互连电路模型的通用公式。该研究基于将具有非整数分布的$RLC$负载的CMOS电路的无限传递函数近似到有限个极点。由于添加分数阶变量的影响，它是准确的，并且由于这些变量被用于调整模型以匹配设计，而不考虑其复杂性。因此，使用我们的分析模型的延迟计算在COMSOL计算的一系列互连长度上的延迟的绝对误差在0.4以内。此外，虽然模型包含了互连的电阻$R$、电感$L$和电容$C$，但却默认地考虑了互连电导率的影响。在设计的不同层面上进行了一些分析，以评估有效性。首先，通过对传输线在一定频率范围内的分数阶阻抗和传播常数的研究，论证了泛化参数的显著影响。其次，我们利用MatLab对所提出的近似模型的潜力进行了评估，除了精确模型之外，还显示了系统的基本特征的相似性，如稳定性和共振。第三，所提出的方法表明，只需很小的调整量即可达到0.01的泛化参数，模型精度可提高15%。
Nowadays, the interconnect circuits’ conduct plays a crucial role in determining the performance of the CMOS systems, especially those related to nano-scale technology. Modeling the effect of such an influential component has been widely studied from many perspectives. In this article, we propose a new general formula for $RLC$ interconnect circuit model in CMOS technology using the fractional-order elements approach. The study is based on approximating an infinite transfer function of the CMOS circuit with a noninteger distributed $RLC$ load to a finite number of poles. It is accurate due to the effect of adding fractional-order variables and since these variables are utilized for tuning the model to match the design regardless of its complexity. As such, delay calculations employing our analytical model are within 0.4 absolute error of COMSOL-computed delay across a range of interconnect lengths. Furthermore, the effect of the interconnect conductivity $G$ has been taken into account tacitly although the model included the resistance $R$ , inductance $L$ , and capacitance $C$ of the interconnect. A number of analyses were set up at different levels of the design to evaluate the effectiveness. First, demonstrating the significant effects of generalizing parameters was gained by studying the fractional-order impedance and propagation constant of the transmission line for a range of frequencies. Second, using MATLAB we assessed the potential of the proposed approximated model besides the exact one, which shows similarity in the fundamental features of the system, such as stability and resonance. Third, the proposed approach showed that with a very small tuning reach 0.01 of the generalizing parameters can achieve up to 15% improvement in the model accuracy.