Prof. D. Zhou UT Dallas Analog Circuits Design Automation 1

Mathematical equations of a circuit  Use KCL (or KVL) to establish the currents relationship among the branches associated to each node  Use device (circuit element) I-V relationship to obtain a set of equations in which node voltages are the variables  The number of equations equals the number of variables  The analysis based on this method is called node analysis  If there is a voltage source between two nodes, the current through this voltage source is unknown and it should be considered as a new variable.  In this case the voltages across the corresponding nodes provides an extra relation to be used, which gives an additional equation. Analog Circuits Design Automation 2

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 A linear system usually will be used as an approximation of the real system.  The case of small signal situation  Basically it is a first order approximation of Taylor expansion series.  Only for a linear system Laplace transform can be used.  Only for a linear system a transfer function is defined Analog Circuits Design Automation 5

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Kharitonov Theorem Read the paper “Performance Robustness Analysis of VLSI Circuits with Process Variations Based on Kharitonov’s Theorem”. Analog Circuits Design Automation 8