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• W2243875135 abstract "Verification of electronic circuits is a process by which a circuit is shown to behave in a certain manner. For analog circuits, the only prevalent method of verification is simulation. Analog simulation is a lengthy and complex process. Simulating an analog circuit implies solving a complex system of Differential and Algebraic Equations (DAEs). It is a time consuming and arduous task to derive the solution of a system of DAEs. Simulators which solve an analog system do not provide appropriate error messages in cases of faults during simulations. However, certain important conclusions can be inferred about the matrix derived from the system of DAEs by using fundamental principles of linear algebra and matrix properties. These conclusions provide useful insight in identifying whether a given set of equations are solvable or not, which is equivalent to determining if a given circuit is simulatable or not. This principle of predicting simulation forms the core of this thesis. Prediction of linear system of equations and linear circuits is performed in this research and the results are verified. The application of prediction to non-linear circuits merits an experiment called matrix perturbations which helps in understanding the nature of non-linear circuits. Conclusive results from the matrix perturbation experiment indicate that the prediction of non-linear system of equations is possible, but only after the linearization step. A matrix which is positive definite at the first iterative step continues to remain so, with a probability of 33%. Also, a matrix which is singular at the first iterative step continues to remain so, with a probability of 22%. Application to nonlinear circuits produces results which show us that circuits which yield an initial matrix to be positive definite at the first iterative step, has a 44.68 % probability of remaining positive definite. Similarly, circuits which yield an initial matrix to be singular at the first iterative step, has a 60.18 % probability of remaining singular. Thus inclusion of prediction system as part of the analog simulation process is very helpful. But, keeping in mind the time overhead for the prediction of simulation, the results obtained from our research show that it is sufficient to conduct the prediction test at the first iteration of every simulation process." @default.
• W2243875135 created "2016-06-24" @default.
• W2243875135 creator A5002410186 @default.
• W2243875135 date "2007-01-01" @default.
• W2243875135 modified "2023-09-26" @default.
• W2243875135 title "AN INVESTIGATION OF THE SIMULATABILITY OF ITERATIVE METHODS FOR ANALYZING ANALOG CIRCUIT BEHAVIOR" @default.
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