TRANSIENT ANALYSIS OF SPATIALLY DISTRIBUTED MICROWAVE CIRCUITS USING CONVOLUTION AND STATE VARIABLES

OZKAR, METE. Transient Analysis of Spatially Distributed Microwave Circuits Using Convolution and State Variables. (Under the direction of Michael B. Steer.) A convolution-based transient analysis is developed. The implementation uses state variables and the separation of the circuit into linear and nonlinear subcircuits. The linear part is formulated in the frequency domain according to the modified nodal admittance matrix formulation. This frequency domain matrix representation is then transformed into a time domain impedance matrix through the inverse Fourier Transform technique. Some methods such as augmentation and phase-shifting to bandlimit the frequency response are presented. The nonlinear equation is solved in the time domain by using a nonlinear equation solver and discrete convolution techniques. The analysis is used to model a soliton line circuit.

[1]  M. A. Tan,et al.  Piecewise linear asymptotic waveform evaluation for transient simulation of electronic circuits , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

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

[3]  Thomas J. Brazil,et al.  Causal-convolution-a new method for the transient analysis of linear systems at microwave frequencies , 1995 .

[4]  Michael B. Steer,et al.  STATE VARIABLE HARMONIC BALANCE SIMULATION OF A QUASI-OPTICAL POWER COMBINING SYSTEM , 1999 .

[5]  Santa Barbara.  Nonlinear Transmission Lines for Picosecond Pulse, Impulse and Millimeter-Wave Harmonic Generation , 1993 .

[6]  Lawrence T. Pileggi,et al.  RICE: rapid interconnect circuit evaluation using AWE , 1994, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  T. Nuteson.  ELECTROMAGNETIC MODELING OF QUASI-OPTICAL POWER COMBINERS , 1996 .

[8]  B. Friedland,et al.  Routh approximations for reducing order of linear, time-invariant systems , 1975 .

[9]  Jiri Vlach,et al.  A piecewise harmonic balance technique for determination of periodic response of nonlinear systems , 1976 .

[10]  R. A. Rohrer,et al.  AWEswit: A switched capacitor circuit simulator , 1993, Proceedings of IEEE Custom Integrated Circuits Conference - CICC '93.

[11]  Andreas Griewank,et al.  Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++ , 1996, TOMS.

[12]  Y. Shamash.  Stable reduced-order models using Padé-type approximations , 1974 .

[13]  RECENT PROGRESS IN LINEAR SYSTEM MODEL-REDUCTION VIA HANKEL MATRIX APPROXIMATION. , 1981 .

[14]  R. A. Rohrer,et al.  AWE macromodels for nonlinear circuits , 1993, Proceedings of 36th Midwest Symposium on Circuits and Systems.

[15]  W. C. Elmore.  The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers , 1948 .

[16]  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.

[17]  Michel Nakhla,et al.  Fast nonlinear waveform estimation for large distributed networks , 1992, 1992 IEEE Microwave Symposium Digest MTT-S.

[18]  Colin Gordon.  Time-domain simulation of multiconductor transmission lines with frequency-dependent losses , 1992, Proceedings 1992 IEEE International Conference on Computer Design: VLSI in Computers & Processors.

[19]  Angelo Brambilla,et al.  The simulation errors introduced by the SPICE transient analysis , 1993 .

[20]  C.E. Christoffersen,et al.  Harmonic balance analysis for systems with circuit-field iterations , 1998, 1998 IEEE MTT-S International Microwave Symposium Digest (Cat. No.98CH36192).

[21]  Neville C. Luhmann,et al.  A monolithic nonlinear transmission line system for the experimental study of lattice solitons , 1995 .

[22]  J. W. Brown,et al.  Complex Variables and Applications , 1985 .

[23]  C. F. Chen,et al.  A novel approach to linear model simplification , 1968 .

[24]  F. P. Lees,et al.  A survey of simple transfer-function derivations from high-order state-variable models , 1972 .

[25]  Michael B. Steer,et al.  Simulation of nonlinear microwave circuits-an historical perspective and comparisons , 1991, 1991 IEEE MTT-S International Microwave Symposium Digest.

[26]  R. F. Brown,et al.  Model stability in use of moments to estimate pulse transfer functions , 1971 .

[27]  Abdullah Atalar,et al.  Pole-zero computation in microwave circuits using multipoint Pade approximation , 1995 .