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Monte Carlo Analysis<br />

Model-Based Monte Carlo Simulation<br />

• The SSD approach is best suited to circuits where the CPU-time is a strong constraint for<br />

the designer and specifically for applications with a very limited budget of simulations.<br />

A typical sample size ranges from a few tens to hundreds of simulations. The linear<br />

approximation used within the SSD algorithm assumes that the regression function is<br />

linear in the inputs. Augmenting the number of runs does not automatically improve the<br />

accuracy of the model. However, for prediction purposes, it can sometimes outperform<br />

more complex non-linear models, especially in situations with small numbers of training<br />

cases.<br />

• You should first validate the SSD results against a standard Monte Carlo simulation<br />

before applying the SSD method full-scale across a set of circuit variants.<br />

• A non-linear model better takes into account the potential non-linearity of the circuit<br />

responses. This compensates the rigid form of the linear models, and produce more<br />

accurate models, leading to more accurate variability estimates. You should not expect<br />

an accurate estimation of the output response in the tails. The SSD sampling plan is<br />

designed to capture the so-called “normal events.”<br />

• When the simulation budget ranges from a few hundreds or thousands of runs, the SSD<br />

approach should not be considered as an alternative to the standard Monte Carlo.<br />

Related Topics<br />

Sampling Plan Methods<br />

Model-Based Approximations Example<br />

462<br />

Eldo® User's Manual, 15.3

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