By Helmut E. Graeb

ISBN-10: 1402060033

ISBN-13: 9781402060038

ISBN-10: 1402060041

ISBN-13: 9781402060045

What you’ll locate here's a interesting compendium of primary challenge formulations of analog layout centering and sizing. This crucial paintings offers a differentiated wisdom in regards to the initiatives of analog layout centering and sizing. specifically, worst-case situations are formulated and analyzed. This paintings is correct on the crossing element among approach and layout expertise, and is either reference paintings and textbook for realizing CAD tools in analog sizing.

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Extra resources for Analog Design Centering and Sizing

Example text

In the rest of this book, three-dimensional terms like “ellipsoid” will be used regardless of the dimension. Figure 22 illustrates different shapes of the equidensity curves of a normal probability density function in dependence of variances and correlations. Each equidensity curve is determined by the respective value of β in (24). For β = 0, the maximum value of pdfN , given by √2π nxs1·√det C , is obtained at the mean value xs,0 . Increasing values β > 0 determine concentric ellipsoids centered around the mean value xs,0 with increasing value of β and decreasing corresponding value of pdfN .

These dynamic variations during operation may also be larger or smaller, depending on the quality of the actual IC. Operating conditions are usually modeled as intervals of range parameters. Manufacturing fluctuations are modeled as statistical parameter distributions on the regarded design level. The calculation of the statistical parameter distribution is a difficult task that requires specific optimization algorithms and the consistent combination of measurements that belong to different design levels and design views [40, 29, 109, 87, 98].

Loc,nloc ) (61) Note that the actual transistor parameter at the interface to the circuit simulator may be a sum of a deterministic design parameter component xd,k , of a global statistical parameter component xs,glob,l , and of a local statistical parameter component xs,loc,m . 10 Performance Features Corresponding to the definition of parameters, performance features shall be used specifically for those quantities that are output of the numerical simulation. Definition: Performance Features are variable quantities of an analog system or an analog component that are output quantities of numerical simulation.

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Analog Design Centering and Sizing by Helmut E. Graeb

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