Uncertainty Quantification of a CMOS Oscillator using Stochastic Collocation Techniques

In recent years, stochastic techniques have emerged as computationally superior techniques for Uncertainty Quantification (UQ). This paper focuses on the application of different stochastic techniques based on Stochastic Collocation (SC) for UQ. Here, the performance of different SC approaches like interpolation, regression and pseudo-spectral projection is assessed for an illustrative example of a 2:4 GHz CMOS LC oscillator. The application of these approaches for the oscillator circuit is investigated by performing the UQ of its phase noise output. The approaches are further compared with the traditional Monte Carlo simulations. The advantages and disadvantages of each of the methods clearly emerge from our study that helps in choosing the appropriate technique for modeling the uncertainty for any given similar oscillator circuit.