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     

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。     

传输线瞬态响应的一种时域分析方法

提出一种传输线瞬态响应的时域分析方法。该方法对电报方程在时域内差分离散,在建立对空间的一阶微分方程组后,采用精细积分法,可获得传输线瞬态响应。这是一种时域内的半解析数值计算方法,具有方法简单、计算精度高等优点,能够有效地分析具有非线性负载的有损耦合传输线瞬态响应问题,也可以用于输电线路的瞬态分析及故障测距。     

端接非线性负载的不等长传输线瞬态分析

对时域有限差分(FDTD)法应用于不等长多导体传输线端接非线性负载的情况进行了介绍.首先给出了多导体传输线电报方程和差分公式;然后介绍了不等长传输线的仿真模型;在此基础上,最后通过建立端接非线性负载的不等长多导体传输线模型,对该情况下传输线两端的电压响应进行了分析.数值仿真结果说明了FDTD法解决此类问题的正确性和有效性,为不等长传输线瞬态分析的进一步研究打下了基础.     

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.     

用修正特征法模型求解高速VLSI中有耗互连线的瞬态响应

本文提出了用于高速集成电路系统中有耗互连线瞬态响应求解的一个计算模型及其相应的算法。传统的特征法在用于求解无耗传输线或满足ＬＧ＝ＲＣ的有耗传输线时具有简单的递归形式和较高的计算效率,但不能用于一般的有耗传输线。本文在特征法的基础上,通过适当的参数修正,建立了一般有耗传输线瞬态响应的近似特征模型,导出了其对时间变量递归形式的计算公式。     

一种用于分析高速VLSI中频变互连线 瞬态响应的精细积分算法

本文利用精细积分法求解高速VLSI中频变参数互连线的瞬态响应.首先,从频域传输线方程出发,利用反拉氏变换将其转化为含有卷积项的时域方程,经过空间坐标离散后,再采用精细积分法进行求解.与以往的空间离散方法相比较,提出采用电压和电流空间间隔取点的方法,减小了截断误差.在计算常微分方程组中的非齐次项时,采用递归计算代替传统数值卷积大大提高了计算的效率.该方法对于耦合传输线无须进行解耦,在处理非均匀频变传输线时也非常方便.数值实验结果表明,该算法稳定性好,计算精度高.     

多导体传输线瞬态响应研究

针对多导体传输线瞬态响应的无源性问题,提出了基于集总等效源模型的多导体传输线瞬态响应模型. 从外场激励下的多导体传输线的频域电报方程解出发,将外场在传输线上激励的分布电压源和电流源与传输线指数矩阵解耦,建立了集总等效电压源和电流源模型. 为避免复杂的傅里叶反变换及卷积运算,推导了集总源模型的时域递推方程. 在此基础上,采用时域有限差分法建立了端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应离散递推方程. 通过对无损传输线的仿真对比,验证了方法的有效性. 最后,对端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应进行了试验和仿真分析.       

多导体传输线瞬态响应研究

针对多导体传输线瞬态响应的无源性问题,提出了基于集总等效源模型的多导体传输线瞬态响应模型. 从外场激励下的多导体传输线的频域电报方程解出发,将外场在传输线上激励的分布电压源和电流源与传输线指数矩阵解耦,建立了集总等效电压源和电流源模型. 为避免复杂的傅里叶反变换及卷积运算,推导了集总源模型的时域递推方程. 在此基础上,采用时域有限差分法建立了端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应离散递推方程. 通过对无损传输线的仿真对比,验证了方法的有效性. 最后,对端接线性负载、非线性负载和外场激励下的不等长多导体传输线瞬态响应进行了试验和仿真分析.     

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。     

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     

Application of recursive convolution to transient simulation of interconnects using a hybrid phase-pole macromodel

A hybrid phase-pole macromodel (HPPM), which explicitly includes phase shifts (time delays) in addition to the system poles, was recently developed for modeling interconnects. In this paper, the HPPM is applied to the transient simulation of interconnects. First, the time-domain source waveform is expanded in terms of triangular expansion functions. Knowledge of the triangle impulse response (TIR) for an interconnect, which is represented in the form of an HPPM, then allows for the time domain simulation of the interconnect. A recursive convolution algorithm is adopted to carry out the required convolutions efficiently in the transient simulator. Combining this transient simulator with an HPPM extractor yields a transient interconnect signal analysis tool.     

A fast algorithm and practical considerations for passive macromodeling of measured/simulated data

Passive macromodeling of high-speed package and interconnect modules characterized by measured/simulated data has generated immense interest during the recent years. This paper presents an efficient algorithm for transient simulation of interconnect networks characterized by measured/simulated data in the presence of other linear and nonlinear devices. A new set of linear constraints are proposed, which help in preserving the passivity of resulting macromodels. Examples are presented to demonstrate the validity and efficiency of the proposed algorithm.     

Compact distributed RLC interconnect models. I. Single linetransient, time delay, and overshoot expressions

Novel compact expressions that describe the transient response of a high-speed distributed resistance, inductance, and capacitance (RLC) interconnect are rigorously derived with on-chip global interconnect boundary conditions. Simplified expressions enable physical insight and accurate estimation of transient response, time delay, and overshoot for high-speed global interconnects with the inclusion of inductance     

Pipelined recursive modified Euclidean algorithm block for low-complexity, high-speed Reed-Solomon decoder

A novel pipelined recursive modified Euclidean (ME) algorithm block for the low-complexity, high-speed Reed-Solomon (RS) decoder is presented. The deeply pipelined recursive structure enables implementation of a significantly low-complexity ME algorithm block with much improved clock frequency. The low-complexity, high-speed RS decoder using the pipelined recursive ME algorithm block has been implemented in 0.13 /spl mu/m CMOS technology with a supply voltage of 1.1 V. The results show that it has significantly low hardware complexity and a high data processing rate of 6.16 Gbit/s.     

基于偏心Preissmann格式的高速互连线分析

 将偏心Preissmann格式应用于高速电路互连线分析,导出一种互连线离散模型.通过调整偏心参数,可以获得二阶精度的差分格式.数值仿真表明,该方法能够应用于一般互连线的瞬态分析,改善间断之后的数值扰动现象,并与特征法进行了比较,说明了方法的有效性.     

DEPACT: delay extraction-based passive compact transmission-line macromodeling algorithm

With the continually increasing operating frequencies, signal integrity and interconnect analysis in high-speed designs is becoming increasingly important. Recently, several algorithms were proposed for macromodeling and transient analysis of distributed transmission line interconnect networks. The techniques such as method-of-characteristics (MoC) yield fast transient results for long delay lines. However, they do not guarantee the passivity of the macromodel. It has been demonstrated that preserving passivity of the macromodel is essential to guarantee a stable global transient simulation. On the other hand, methods such as matrix rational approximation (MRA) provide efficient macromodels for lossy coupled lines, while preserving the passivity. However, for long lossy delay lines this may require higher order approximations, making the macromodel inefficient. To address the above difficulties, this paper presents a new algorithm for passive and compact macromodeling of distributed transmission lines. The proposed method employs delay extraction prior to approximating the exponential stamp to generate compact macromodels, while ensuring the passivity. Validity and efficiency of the proposed algorithm is demonstrated using several benchmark examples     

Characteristic analysis of coupled HTS interconnects withtwo-dimensional FDTD

In this work, the frequency-dependent RLGC parameters of high-speed coupled high T_c superconductor (HTS) interconnects are extracted with a two-dimensional (2-D) FDTD algorithm. The response signals of an HTS interconnect circuit and a normal Al interconnect circuit are simulated and compared, showing that not only the signal dispersion, delay, and magnitude decay of HTS interconnects are smaller than that of Al interconnects, the crosstalk of HTS interconnects is much smaller, too