Jm. Wojciechowski et J. Vlach, ELLIPSOIDAL METHOD FOR DESIGN CENTERING AND YIELD ESTIMATION, IEEE transactions on computer-aided design of integrated circuits and systems, 12(10), 1993, pp. 1570-1579
A method for constraint region approximation, design centering and yie
ld estimation is introduced. Extreme points of the constraint region a
re identified by inscribing into it the largest possible ellipsoid. El
lipsoid center is the point that centers the design. Ellipsoidal, poly
tope and second order Taylor series approximation schemes to the const
raint region are discussed. Accuracy and implementation of the method
are outlined. Two examples testing the method are included and applica
tions to centering, tolerancing and yield estimation are shown.