By Helmut E. Graeb
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 concerning the initiatives of analog layout centering and sizing. specifically, worst-case eventualities are formulated and analyzed. This paintings is true on the crossing element among procedure and layout expertise, and is either reference paintings and textbook for figuring out CAD tools in analog sizing.
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Extra resources for Analog Design Centering and Sizing
Ellipses have decreasing line thickness. Had the standard deviations of R and C been equal, the level curves would have been circles. σC being larger than σR corresponds to a higher dilation of the level curves in the direction of C than in the direction of R. The distribution of the resistor values hence is less broad than that of the capacitor values. Figure 16 shows that parameter vectors exist that lead to a violation of the performance specification. The volume under the probability density function over the whole parameter space is 1, which corresponds to 100% of the manufactured circuits.
For the operating range in turn, reasonable finite ranges have to be negotiated between manufacturer and customer. The size of this range is related to the product price: an IC that works between −40◦ C and 125◦ C will be more expensive than the same IC designed to work between 0◦ C and 70◦ C. If the range parameters’ bounds are determined in a linear dependence of each other, the tolerance region will have the shape of a polytope according to (9), as illustrated in Figure 19(b). (9) describes a set of npoly inequalities of the form aTµ· · xr ≤ bpoly,µ , where aTµ· = [aµ,1 aµ,2 aµ,3 .
5/R. We can see that the region of acceptable parameter values is closed. The nominal parameter values R and C are also shown. Here we can graphically reproduce the nominal design process. 25/R that runs between the double-slashed curve and the triple-slashed curve. From all points on that curve, R and C is the one with the largest safety margin to the single-slashed line representing the upper bound on the area. A larger safety margin for the upper area bound could only be achieved at the cost of the safety margin for the lower bound on the time constant.
Analog Design Centering and Sizing by Helmut E. Graeb