An Immitance Based Tool for Modelling Passive One-Port Devices by Means of Darlington Equivalents

Summary An immitance-based method is presented to model measured orcomputed data, obtained from a “passive one-port physical device” by means of its Darlington equivalent. In other words, the given data ismodelled as a lossless two port terminated in a unit resistor. The basis of the new modelling tool rests on the numerical decomposition of the given immitance data into its Foster and minimum parts. Therefore, the proposed technique does not require any choice for the circuit topology to build the model. Rather, the optimum circuit topology that characterises thegiven data is the natural consequence of the modelling process proposed in this paper. A main algorithm is presented to construct the model from the given data. It is expected that the proposed modelling tool will findpractical applications in the behaviour characterisation, simulation, and design of high speed/high frequency analog/digital mobile communication sub-systems manufactured on VLSI chips. An antenna-modelling example is included to systematically exhibit the implementation of the modelling technique.

[1]  H. Carlin.  A new approach to gain-bandwidth problems , 1977 .

[2]  O. Wing,et al.  A circuit model of a system of VLSI interconnects for time response computation , 1991 .

[3]  Fung-Yuel Chang.  Waveform relaxation analysis of RLCG transmission lines , 1990 .

[4]  Kamlesh Rath,et al.  Broadband Networks , 2000, IEEE Multim..

[5]  Ernest S. Kuh,et al.  Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks , 1999 .

[6]  J. R. Long,et al.  Modeling, characterization and design of monolithic inductors for silicon RFICs , 1996, Proceedings of Custom Integrated Circuits Conference.

[7]  Lawrence T. Pileggi,et al.  Asymptotic waveform evaluation for timing analysis , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[8]  Franco Maloberti.  Design of high speed analog circuits for mobile communications , 1997, 1997 21st International Conference on Microelectronics. Proceedings.

[9]  S. Sercu,et al.  High-frequency circuit modeling of large pin count packages , 1997 .

[10]  Binboga Siddik Yarman,et al.  An integrated design tool to construct lossless matching networks with mixed lumped and distributed elements , 1992 .

[11]  Krishna Shenai,et al.  One-chip wonders , 1998 .

[12]  Binboga Siddik Yarman,et al.  The double matching problem: Analytic and real frequency solutions , 1983 .

[13]  Bedri A. Cetiner,et al.  Smith chart formulation of performance characterisation for a microwave transistor , 1998 .

[14]  Michel S. Nakhla,et al.  Delay and crosstalk simulation of high-speed VLSI interconnects with nonlinear terminations , 1993, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..