Design Methodology for Yield Enhancement of Switched-Capacitor Analog Integrated Circuits

PACES: A Partition-Centering-Based Symmetry Placement for Binary-Weighted Unit Capacitor Arrays

“…However, in many applications, multiple capacitors are taking into account to the placement. Considering that the capacitor set CS={C 0 , C 1 , ..., C } contains N group of capacitors, the overall correlation coefficient L [12,13] is defined as follows.…”

“…The placements are used to evaluate the ratio mismatch M and overall correlation coefficient L simultaneously [13][14][15][16]. In fact, the success of resulting in better ratio mismatch was attributed to place both C0 and C1 at the central entries of the array [22].…”

“…To alleviate the influence of random mismatch on given placement, the overall correlation coefficient L has been targeted for maximization [12][13][14][15][16]. However, it had been shown that the placement with larger overall correlation coefficient L is not a sufficient criteria [21,22] and thus the Monte-Carlo simulation [23] is conducted to evaluate the random mismatch for simulating the statistical fluctuation.…”

“…Capacitor mismatches can generally be classified as systematic or random mismatches. Numerous studies have applied techniques to unit capacitor placement such as common-centroid placement to alleviate systematic and random mismatches [4][5][6][7][8][9][10][11][12][13][14][15][16] and routing techniques such as length matching to reduce the effect of a parasitic mismatch [17][18][19].…”

“…Luo [11,12] showed that the capacitor array placement with a higher correlation coefficient of capacitor pairs can achieve higher dispersion and reduce the effect of random mismatch on the capacitor pairs. The heuristic search approach [12,13] was introduced to maximize the overall PACES: A Partition-Centering-Based Symmetry Placement for Binary-Weighted Unit Capacitor Arrays Chien-Chih Huang, Jwu-E Chen, Member, IEEE, and Chin-Long Wey, Fellow, IEEE P correlation coefficient L, which is the sum of the correlation coefficients of each nonrepetitive capacitor pair in CS. Although the placement obtained by this approach exhibits a high degree of dispersion, it does not consider symmetry and coincidence.…”