CMOS Analog Circuit Design

Appendix A: Circuit Analysis for Analog Circuit Design

OVERVIEW

The objective of this appendix is to provide a systematic approach for analyzing analog circuits. Since much design is done by analysis, this approach will be very useful in the study of analog integrated-circuit design. We will begin with a brief introduction to modeling devices from a general viewpoint, followed by several network-analysis techniques useful in analyzing analog circuits. These techniques include mesh and nodal analysis, superposition, substitution of sources, network reduction, and Miller simplification. Although there are other techniques, these are the ones used most often in analog circuits analysis.

Modeling is an important part of both analog circuit analysis and design. Modeling is defined as the process by which an electronic component/device is characterized in a manner that will allow analysis by either mathematical or graphical methods. Most electronic devices have atleast three terminals and the voltage current relationships among terminals are nonlinear. As a consequence, models are generally categorised as large-signal and small-signal models.

Large-signal models represent the nonlinear behaviour of the electronic device. Small-signal models are characterized by having linear relationships between the terminal voltages and currents. Typically, a small-signal model is only valid for limited values of amplitude. In fact, the signal amplitude is decreased until the nonlinear relationships can adequately be approximated by linear relationships. However, the advantage of the small-signal model is that analysis is greatly simplified by the inherent linearity between the terminal voltages and currents. In either case, models are only representative of the actual device and may fail to...

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