Radio Frequency Numerical Simulation Techniques Based on Multirate Runge-Kutta Schemes

Electronic circuit simulation, especially for radio frequency (RF) and microwave telecommunications, is being challenged by increasingly complex applications presenting signals of very different nature and evolving on widely separated time scales. In this paper, we will briefly review some recently developed ways to address these challenges, by describing some advanced numerical simulation techniques based on multirate Runge-Kutta schemes, which operate in the one-dimensional time and also within multidimensional frameworks.

[1]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[2]  Paolo Maffezzoni,et al.  Envelope-following method to compute steady-state solutions of electrical circuits , 2003 .

[3]  J.F. Oliveira,et al.  A new time-domain simulation method for highly heterogeneous RF circuits , 2007, 2007 European Microwave Conference.

[4]  Jorge F. Oliveira,et al.  Advanced time-domain techniques for strongly nonlinear RF circuit simulation: Recent developments and remaining challenges , 2011, 2011 IEEE EUROCON - International Conference on Computer as a Tool.

[5]  Jose C. Pedro,et al.  Intermodulation Distortion in Microwave and Wireless Circuits , 2003 .

[6]  Jaijeet S. Roychowdhury,et al.  Robust, stable time-domain methods for solving MPDEs of fast/slow systems , 2004, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[7]  C.E. Christoffersen,et al.  An adaptive time step control algorithm for nonlinear time domain envelope transient , 2004, Canadian Conference on Electrical and Computer Engineering 2004 (IEEE Cat. No.04CH37513).

[8]  L. Shampine,et al.  A 3(2) pair of Runge - Kutta formulas , 1989 .

[9]  J. Lambert Numerical Methods for Ordinary Differential Systems: The Initial Value Problem , 1991 .

[10]  J.C. Pedro,et al.  An Efficient Time-Domain Simulation Method for Multirate RF Nonlinear Circuits , 2007, IEEE Transactions on Microwave Theory and Techniques.

[11]  Stephen A. Maas,et al.  Nonlinear Microwave and RF Circuits , 2003 .

[12]  Andreas Bartel,et al.  Multirate Methods in Electrical Circuit Simulation , 2002 .

[13]  Alberto L. Sangiovanni-Vincentelli,et al.  Steady-state methods for simulating analog and microwave circuits , 1990, The Kluwer international series in engineering and computer science.

[14]  P. Rentrop,et al.  Partitioning and Multirate Strategies in Latent Electric Circuits , 1994 .

[15]  Adérito Araújo,et al.  Envelope transient simulation of nonlinear electronic circuits using multi-rate Runge-Kutta algorithms , 2006 .

[16]  E. Ngoya,et al.  Envelop transient analysis: a new method for the transient and steady state analysis of microwave communication circuits and systems , 1996, 1996 IEEE MTT-S International Microwave Symposium Digest.

[17]  P. Rentrop,et al.  Multirate ROW methods and latency of electric circuits , 1993 .

[18]  Paulo Jose Cunha Rodrigues,et al.  Computer-Aided Analysis of Nonlinear Microwave Circuits , 1997 .

[19]  J.C. Pedro,et al.  A Multiple-Line Double Multirate Shooting Technique for the Simulation of Heterogeneous RF Circuits , 2009, IEEE Transactions on Microwave Theory and Techniques.

[20]  E. Wagner International Series of Numerical Mathematics , 1963 .

[21]  P. Rentrop,et al.  Multirate Partitioned Runge-Kutta Methods , 2001 .

[22]  J. Roychowdhury Analyzing circuits with widely separated time scales using numerical PDE methods , 2001 .

[23]  J.C. Pedro,et al.  An Innovative Time-Domain Simulation Technique for Strongly Nonlinear Heterogeneous RF Circuits Operating in Diverse Time-Scales , 2008, 2008 European Microwave Integrated Circuit Conference.