李征帆
目前研究的重点为微波与高速电路理论、RF和高速电路的组件和芯片分析设计、高速电路的信号完整性分析、微波与高速电路中的电磁场理论及数值方法等。
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 姓名：李征帆
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博士生导师
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学科领域：
电子电路
 研究兴趣：目前研究的重点为微波与高速电路理论、RF和高速电路的组件和芯片分析设计、高速电路的信号完整性分析、微波与高速电路中的电磁场理论及数值方法等。
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【期刊论文】Fast Analysis of Bounces on Power/Ground Planes Using EvenOdd Partition
李征帆， Dedong Wang， ZhengFan Li， and Yi Cao
IEEE TRANSACTIONS ON ADVANCED PACKAGING, VOL. 26, NO.1, FEBRUARY 2003，0001，（）：
1年11月30日
A novel method for analyzing the bounces on structure of parallel power/ground planes by using the evenodd mode partition is presented in this paper. Based on the distributed RLCG circuit model derived from the two dimensional electromagnetic field equations of the power/ground planar structure, this method can speed up the circuit simulation of the bounces on power/ground planes by using evenodd mode partition. Furthermore, the method can be used to evaluate the effects of the terminated decoupling capacitors and the hole structures on power/ground plane. The numerical examples demonstrate that the method has both high efficiency and good precision.

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李征帆， ZhengYu Yuan， ZhengFan Li， and MinLiu Zou
IEEE TRANSACTIONS ON COMPUTERAIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, VOL. 19, NO.9, SEPTEMBER 2000，0001，（）：
1年11月30日
In this paper, we present some numerical techniques for the timedomain characterization of onchip interconnects near semiconductor substrate in highspeed very large scale integrated circuits. A timedomain fullwave method for the extraction of frequencydependent equivalent circuit parameters of these lines is described firstly. Then the method, based on numerical inversion of Laplace transform, is used for the transient simulation of interconnection lines with frequencydependent parameters. The frequencydependent effects over a very broad range of frequencies are included in the analysis. A numerical example for realistic geometry and material parameters demonstrates the effects of lossy substrate on the signal propagation, including delay, waveform distortion and crosstalk.
Frequencydependent onchip interconnects,， parameter extraction,， substrate effects,， transient simulation,， VLSI.，

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【期刊论文】Transient Analysis of Lossy Interconnects by Modified Method of Characteristics
李征帆， QinWei Xu， ZhengFan Li， Jun Wang， and JunFa Mao， Senior Member， IEEE
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—I: FUNDAMENTAL THEORY AND APPLICATIONS, VOL. 47, NO.3, MARCH 2000，0001，（）：
1年11月30日
In this paper, the modified method of characteristics (MMC) is presented to analyze lossy interconnects. The method applies lower order Taylor approximation to model the characteristic admittance, and further applies lower order Pade approximation to model propagation functions of a transmission line. However, different from the singlepoint or multipoint momentmatching approaches, this method does not generate reducedorder model of a transmission line prior to constructing the system matrix. Instead, it takes a special expansion and directly incorporates the coefficients of expansion into the modified nodal admittance (MNA) matrix. On the basis of the specific expansion, a set of timedomain recursive formulae is derived, which concerns only the quantities at the ends of transmission lines. The recursive formulae are similar to those of method of characteristics (MC), with some added modifications. Based on the formulae of MMC, an equivalent timedomain macromodel of uniform lossy transmission line is obtained. It can be easily implemented within the framework of an existing circuit simulator such as SPICE. The examples indicate that the method gives accurate timedomain simulation of interconnects in highspeed IC systems.
Lossy interconnects,， macromodel,， modified method of characteristics,， recursive formulae,， transient analysis.，

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李征帆， Yi Cao， ZhengFan Li， JiFeng Mao， and JunFa Mao， Senior Member， IEEE
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNOLOGY, VOL. 48, NO.2, FEBRUARY 2000，0001，（）：
1年11月30日
In this paper, a modified partialelement equivalentcircuit (PEEC) model, i.e., (Lp, A, R, Ef)PEEC, is introduced. In such a model, no equivalent circuit, but a set of state equations for the variables representing the function of circuit, are given to model a threedimensional structure. Unlike the original (Lp, A, R, Ef)PEEC model, the definition of vector potential with integral form and the Lorentz gauge are used in expanding the basic integral equation instead of the definition of the scalar potential with integral form. This can directly lead to the state equations, and the capacitance extraction can be replaced by the calculation of the divergence of, which is nalytical. For analysis of most interconnect and packaging problems, generally containing complex dielectric structures, the new model can save a large part of computing time. The validity of the new model is verified by the analysis in time and frequency domain with several examples of typical interconnect and packaging structures, and the results with this new method agree well with those of other papers.
Integrated circuit,， interconnect and packaging,， Lorentz gauge,， PEEC,， state equations.，

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李征帆， Ji Zheng， ZhengFan Li， and XiaoNing Qian
IEEE TRANSACTIONS ON ADVANCED PACKAGING, VOL.22, NO.1, FEBRUARY 1999，0001，（）：
1年11月30日
The comutation of the equivalent capacitances for threedimensional (3D) interconnects features large memory usage and long computing time. In this paper, a matrix sparsification approach based on multiresolution representation is applied with the method of moments (MoM) to calculate 3D capacitances of interconects in a layered media. Instead of direct expansion of the charge distribution by the orthogonal wavelet basis functions, the lare full matrix resulting from discretization of the integral equations is taken as a discrete image and sparsified by twoimensional(2D) multiresolution representations. The inverse of the obtained sparse matrix is efficiently implemented by Schultz's iterative apprach. Several numerical examples are given and the results obtained show that the proposed method significantly sparsify the matrix equation and the capacitance parameters computed by the matrix equation and the capacitance parameters computed by the matrix equation with high sparsity agree well with the results of other reports and those computed by an established capcitance extractor FASTCAP.
Capacitance extraction,， interconnects,， method of moments,， multiresolution representation,， wavelet.，

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李征帆， Ronghong Jin， YiCao， and Zhengfan Li
IEEE TRANSACTIONS ON COMPONENTS, PACKAGING, AND MANUFACTURING TECHNOLOGYPART B, VOL.20, NO.3, AUGUST 1997，0001，（）：
1年11月30日
Measured equation of invariance (MEI) has been successfully used in many applications. It has been illustrated that the MEI is specially suitable for the decrease of computation time and computer memory space. However, for multiconductor interconnects in multilayered dielectric media, the Green's function is complex and the integrals of Sommerfeld type are time consuming. In this paper, equivalent source and measured equation of invariance (ESMEI), a modification of the MEI, The node number is further decreased and the integrals of metron multiplied Green's function are avoided. It will be verified by several examples that the ESMEI is very suitable for fast parameter extraction for mlticonductor interconnects in multilayered dielectric media.

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李征帆， JunFa Mao and ZhengFan Li
IEEE TRANSATIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 45, NO.1, JANUARY 1997，0001，（）：
1年11月30日
A timedomain fullwave method for the extraction of frequencydependent equivalent cireuit parameters of multiconductor interconnection lines is presented in this paper. The circuit parameters extracted by this paper. The circuit parameters extracted by this method can be inserted into circuit simulation software to investigate timedomain responses of highspeed IC system with multiconductor interconnects. Because the definitions of the voltage and the current are not unique in fullwave analysis, transformation among circuit parameters according to diffrent definitions of the voltage and current is also presented. The method is based on the finitedifference timedomain (FDTD) method, and the reliability of this method is illustrated by its application to representative problems.

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李征帆， JunFa Mao and ZhengFan Li
IEEE FRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 40, NO.5, MAY 1992，0001，（）：
1年11月30日
In this paper nonuniform multiconductor transmission lines are considered to be equivalent to a cascaded chain of many multiport subnetworks which are made of short sections of uniform lines. The ABCD matrices of the subnetworks can be obtained by the matrix series expansions of their analytic expressions. As long as the number of the subnetworks is large enough to reflect the line nonuniformity fully, the expansions will converge so fast that a few of loworder series terms will be good approximations. After the overall ABCD matrix of the cascaded network chain is evaluated from that of each subnetwork, the time of response of transmission lines can be analyzed. The lines may have frequencydependent parameters and arbitrary nonlinear terminals. Furthermore, transmission systems with branches uniform and nonuniform transmission lines can be studied with this method conveniently. The analysis accuracy and efficiency are discussed in detail.

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李征帆， JunFa Mao and ZhengFan Li
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 40, NO.4, APRIL 1992，0001，（）：
1年11月30日
A new method for analysis of the time response of multiconductor transmission lines with frequencydependent losses is presented. This method can solve the time response of various kinds of transmission lines with arbitrary terminal networks. Particularly it can analyze nonuniform lines with frequencydependent losses, for which there is no existing effective method to analyze their time response so far. This method starts from the frequencydomain telegrapher's equations. After decoupling and inversely Fourier transforming, then a set of decoupled timedomain equations including convolutions are given. These equations can be solved with the characteristic method. The results obtained with this method are stable and accurate. Two examples are given to illustrate the application of this method to various multiconductor transmission lines.

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