高速MCM中互连线时域宏模型的递归算法

提出一种求解高速ＭＣＭ 中有耗互连线两端瞬态响应递归形式的时域宏模型,利用频域内的泰勒近似,通过逆拉氏变换得到一组时域内的递归公式,递归公式只涉及传输线两端的电流和电压,因而具有较高的计算效率,数值实验结果表明,本方法可以达到相当高的精度。     

有耗互连线瞬态模拟的稳定递归算法

本文提出了一种用于求解高速VLSI和多芯片组件(MCM)中有耗互连线瞬态响应的稳定递归算法。在频域内,均匀传输线两端的电压电流满足一组简单公式,将这组公式利用Taylor级数进行近似,通过逆拉氏变换得到一组时域内的递归公式。递归公式只涉及到传输线两端的电流和电压,瞬态响应可以步进求解。递归公式中的卷积只与已经计算出的数值有关,不涉及任何未知量。本方法避免了有理逼近所导致的不稳定性,是绝对收敛的。数值实验结果表明,本方法可以达到相当高的精度。     

有耗互连线瞬态模拟的稳定递归算法

本语文提出了一种用于求解高速ＶＬＳＩ和多芯片组件（ＭＣＭ）中有耗互连线瞬态响应的稳定递归算法。在频域内,均匀传输线两端的电压电流以满足一针这组公式利用Ｔａｙｌｏｒ级数进行近似,通过逆拉氏变摸得到一组时域内的递归公式。递归公式只涉及到传输线两端的电流和电压,瞬态响应可以步进求解。递归公式中的卷积只与已经计算出的数值有关,不涉及任何未知量。本方法避免了有理逼近所导致的不稳定性,是绝对收敛的。数值实验结     

多芯片组件互连瞬态响应的递归卷积法分析

根据ＭＣＭ互连线的特点,用一种简洁高效的技术对耦合有耗传输线去耦。在单根传输线的研究中,利用系统匹配法及递归法,方便有效地求得了特征导纳函数、特征指数函数的麦克荣林展式,然后用指数衰减多项式法求得其对应的时域函数。最后,利用多重极点递归卷积法求得了任意端接负载的时域响应。     

工艺参数随机扰动下的传输线建模与分析新方法

本文考虑集成电路制造过程中传输线制造工艺参数随机扰动对传输线传输性能的影响,建立了传输线的随机模型.结合精细积分算法与蒙特卡洛方法分析了该传输线随机模型的瞬态响应,通过对模型输出的正态性进行偏度-峰度检验给出了最差情况估计.对于正弦激励情况推导了无耗传输线相应随机微分方程解的一阶矩的解析形式,给出了二阶矩的数值计算方法,最后估计出输出信号振幅与相移的上下界.实验结果表明本文提出的传输线随机模型及其分析方法可以对传输线的性能进行有效的评估.     

传输线网络瞬态响应灵敏度分析

在传输线网络瞬态响应灵敏度分析之中,提出了一种基于NILT的新的分析方法。该方法将传输线及其效应连同电子元器件及单元电路作为一个整体,根据传输线在电路中的拓扑关系,将传输线网络瞬态响应灵敏度分析问题转化为求解传输线网络瞬态响应问题,以及传输线ABCD矩阵对电路参数的偏导数问题。通过将ABCD矩阵进行级数展开,极大地简化了ABCD矩阵对电路参数偏导数的计算以及传输线网络瞬态响应灵敏度的分析。本文方法不需要对耦合传输线进行解耦,具有简单、精确、高效等特点,算例结果表明了本文方法的有效性。     

传输线的随机建模及瞬态响应数值实验分析

该文考虑集成电路制造过程中传输线制造工艺参数随机扰动对传输线传输性能的影响,建立了传输线的随机模型,针对该模型提出了基于蒙特卡洛法的传输线瞬态响应统计分析方法。统计分析中采用精细积分算法求解传输线样本瞬态响应,并对模型输出的正态性进行偏度-峰度检验,给出了最差情况估计。试验结果表明该文提出的传输线随机模型及统计分析方法可以对传输线的传输性能进行有效的评估,对于传输线制造过程的控制及优化有着重要意义。     

基于矩阵束方法的传输线系统瞬态响应分析

带有频变负载的传输线系统的瞬态响应分析是电磁兼容领域的一个重要内容,特别是对于频变负载网络较为复杂或内部结构不清晰的情况,其瞬态响应的分析较为困难。本文首先在采样频率点处对频变负载端口导纳进行测量或计算得到相应的采样导纳,并采用有理函数逼近的方式对端口导纳进行等效;之后采用矩阵束(MPM)方法求解出有理逼近函数所需的极点和留数,并将其代入到分段线性递归卷积(PLRC)技术中,实现传输线和频变负载连接点处电压的分段线性递归卷积表达;最后,结合传输线方程实现带有频变负载的传输线系统的瞬态响应分析,并通过2个算例对所提方法的性能进行验证。结果表明,所提方法在计算精确度上具有明显的优势。     

基于高阶时域有限差分法与改进节点分析法混合求解复杂传输线网络瞬态响应

该文提出一种用于求解复杂传输线网络瞬态响应的新型混合算法.通过构建混合单端口网络模型将传输线分布参数系统与集总电路分开,分别采用高阶FDTD(2,4)与改进节点电压分析法(MNA)分析传输线与端口电路瞬态响应.与以往暂态分析方法相比,高阶FDTD(2,4)的低数值色散特性,使得求解传输线时可采用粗网格离散,能方便处理电长度较长的传输线.同时直接采用电路分析方法求解端口电路,能够获取电路中各节点的电压电流波过程.通过几组数值实例验证了该方法的有效性及准确性.     

高速数字集成传输线终端非线性的暂态分析＊

本文给出了特征线法和波形松弛迭代法相结合计算有耗耦合传输线的时域算法.分析研究了具有非线性终端的传输线的暂态响应。理论分析和模拟结果表明:这种方法分析简单,节省了机时和内存,是一种有效的方法。     

Time-domain modeling of high-speed interconnects by modified methodof characteristics

In this paper, a new model of lossy transmission lines is presented for the time-domain simulation of high-speed interconnects. This model is based on the modified method of characteristics (MMC). The characteristic functions are first approximated by applying lower order Taylor series in the frequency domain, and then a set of simple recursive formulas are obtained in the time domain. The formulas, which involve tracking performances between two ends of a transmission line, are similar to those derived by the method of characteristics for lossless and undistorted lossy transmission lines. The algorithm, based on the proposed MMC model, can efficiently evaluate transient responses of high-speed interconnects. It only uses the quantities at two ends of the lines, requiring less computation time and less memory space than required by other methods. Examples indicate that the new method has high accuracy and is very efficient for the time-domain simulation of interconnects in high-speed integrated circuits     

一种提取多导体互连线等效电路频变分布参数的时域全波方法

本文给出了一种基于时域有限差分（ＦＤＴＤ）法，提取多导体互连线等效电路频变分布参数的时域全波方法．提取出的频率分布参数可用来研究含有多种导体互连线的高速集成电路（ＶＬＳＩ）系统的时域响应．由于在全波分析中电压和电流没有唯一的定义，本文还给出了基于不同电压、电流定义而得到的电路参数之间的转换关系．计算结果表明：这种方法是可靠的．     

Stability of the FDTD scheme containing macromodels

Stability analysis of the finite difference time domain scheme containing macromodels is presented. It is shown that for a stable macromodel, the stability of the combined scheme depends on the field interpolation at the macromodel boundary. The maximal allowable time step is shown to be much larger than for subgridding.     

高速集成电路芯片内互连线的计算机辅助分析

分析了高速集成电路芯片内互连线的时域特性。首先运用全波方法提取互连线的频变等效电路参数。在此基础上运用数值反拉普拉斯变换 ( NILT)法分析互连电路的时域响应。在分析过程中 ,提出或运用了一些提高精度或效率的技术和方法。分析结果表明 ,该方法很适合高速集成电路芯片内互连线的计算机辅助分析。     

A resetting algorithm for transient analysis of coupledtransmission line circuits

The numerical inversion of the Laplace transform has been used as an important tool for time domain analysis of high speed VLSI interconnects modeled by transmission line networks. In this paper, a resetting algorithm based on the numerical inversion of Laplace transform with Pade approximation is described. The initial conditions of coupled transmission lines required by the resetting algorithm are also derived. The new method results in substantial improvement of the accuracy of the numerical inversion of Laplace transform for solving transmission line networks with long transients. The new method also bridges the gap between two types of circuit simulation techniques, i.e., the numerical inversion of Laplace transform and the numerical integration     

Improved global rational approximation macromodeling algorithm fornetworks characterized by frequency-sampled data

Recently, the demand for high-performance wireless designs has been increasing while simultaneously the speed of high-end digital designs have crossed over the gigahertz range. New simulation tools which accurately characterize high-frequency interconnects are needed. This paper presents improvements to a new macromodeling algorithm. The algorithm employs curve-fitting techniques to achieve a pole-residue approximation of the frequency-sampled network. The frequency sampled S-parameters or Y-parameters can be obtained from measurement or full-wave simulation to characterize the frequency-dependent interconnects behavior. The improvements extend the approach to lossless structures, increase its accuracy with pole-clustering, and ensure its validity with a passivity test. This paper addresses some of the special considerations that must be made to the method so it can efficiently and accurately be applied to lossless circuits and structures. The resulting algorithm is now capable of accurately extracting a wide-band frequency domain macromodel from frequency-sampled data for either LC circuit (lossless) or RLC circuits (lossy). The frequency-domain macromodel can be linked to a SPICE circuit simulator for mixed signal circuit analysis using RF, analog, and digital circuits. The circuit can be simulated in the time domain using recursive convolution     

Simplified Macromodel of MTLs With Incident Fields (SiMMIF)

Electromagnetic compatibility (EMC) analysis of high-speed designs has become imperative due to rapidly increasing radio-frequency interference and emerging technological trends such as higher operating frequencies, denser layouts, and multifunction convergent products. In this paper, a simplified macromodel of multiconductor transmission lines (MTLs) exposed to incident fields is presented. The proposed formulation can also handle frequency dependence of resistance, capacitance, conductance, and inductance (RLGC) line parameters. The method employs the recently developed delay-extraction-based compact and passive MTL macromodel, while developing closed-form expressions for incident field analysis. An error bound for the proposed macromodel is also presented. The macromodel is simulation program with integrated circuit emphasis (SPICE) compatible and overcomes the mixed frequency/time simulation difficulties usually encountered during transient analysis, while guaranteeing the stability of the global transient simulation. The algorithm provides higher accuracy as well as significant speed gains for EMC analysis of transmission line networks as compared to the existing techniques.     

FDTD法分析高速集成电路芯片内互连线

本文首次利用时域有限差分(FDTD)法分析了高速集成电路芯片内半导体基片上的有耗互连传输线的电特性.文中提出了有耗吸收边界条件,推导了不同媒质交界面上的边界条件通用格式.在FDTD分析的基础上,得到传输线各种参数的频变特性,为芯片内电路模拟提供了可靠的参数.