Hierarchical statistical analysis of complex analog and mixed-signal systems

Abstract

With increasing process parameter variations in nanometre regime, circuits and systems encounter significant performance variations and therefore statistical analysis has become increasingly important. For complex analog and mixed-signal circuits and systems, efficient yet accurate statistical analysis has been a challenge mainly due to significant simulation and modelling time. In the past years, there have been various approaches proposed for statistical analysis of analog and mixed-signal circuits. A recent work is reported to address statistical analysis for continuous-time Delta-Sigma modulators. In this article, we generalise that method and present a hierarchical method for efficient statistical analysis of complex analog and mixed-signal circuits while maintaining reasonable accuracy. At circuit level, we use the response surface modelling method to extract quadratic models of circuit-level performance parameters in terms of process parameters. Then at system level, we use behavioural models and apply the Monte-Carlo method for statistical evaluation of system performance parameters. We illustrate and validate the method on a continuous-time Delta-Sigma modulator and an analog filter.

Graph-Based Symbolic Technique and Its Application in the Frequency Response Bound Analysis of Analog Integrated Circuits

“…With the downscaling of the integrated circuit (IC) technology, nanometer circuit designs become more and more sensitive to process variations [ 1 , 2 ], which are produced by fluctuations at the moment of manufacturing, and have been continuously increasing in relative magnitude as IC technology continues to scale to 45 nm and below. On the one hand, IC designers usually perform repeated Monte Carlo (MC) simulations to predict variations, leading to an expensive computational cost, while the main goal is computing the bounds of a given performance by varying the value of some parameters under certain percentage.…”

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