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. Dedication This thesis is dedicated to my parents and to my sister whose endless patience and understanding gave me motivati...

OF THE MASTER'S THESIS Author: Janne Roos Name of the thesis: Frequency-domain analysis of nonlinear circuits using Chebyshev polynomials Date: February 22, 1994 Number of pages: 64 Faculty: Electrical Engineering Professorship: Circuit Theory Supervisor: Prof. Martti Valtonen A new frequency-domain method is implemented in APLAC (an ObjectOriented Analog Circuit Simulator and Design Tool). The method can be used for the numerical steady-state analysis of nonlinear circuits. Nonlinear components are described with one-, two-, or three-dimensional Chebyshev expansions, depending on the number of controlling voltages.

LUNSFORD II, PHILIP J. The Frequency Domain Behavioral Modeling and Simulation of Nonlinear Analog Circuits and Systems. (Under the direction of Michael B. Steer.) A new technique for the frequency-domain behavioral modeling and simulation of nonautonomous nonlinear analog subsystems is presented. This technique extracts values of the Volterra nonlinear transfer functions and stores these values in binary files. Using these files, the modeled substem can be simulated for an arbitrary periodic input expressed as a finite sum of sines and cosines. Furthermore, the extraction can be based on any circuit simulator that is capable of steady state simulation. Thus a large system can be divided into smaller subsystems, each of which is characterized by circuit level simulations or lab measurements. The total system can then be simulated using the subsystem characterization stored as tables in binary files.