Statistical Compact Model Parameter Extraction by Direct Fitting to Variations

In this paper, a new method of statistical compact model parameter extraction is proposed and described in detail. The method is characterized in that the target of fitting is not the individual transistor, but statistically analyzed results (more specifically, principal components) of measured data. Variations of transistor characteristics can be translated into equivalent variations of compact model parameters by only one fitting step without repeating the parameter extraction procedure multiple times. Since the fitting is based on the response of a compact model to parameters, detailed information of the model is not necessary. The method has been applied to modeling the variations of metal-oxide-semiconductor field-effect transistor current versus voltage characteristics, and its validity has been confirmed.