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A Statistical Method for Characterizing CMOS Process Fluctuations in Subthreshold Current Mirrors 被引量:2
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作者 张雷 余志平 贺祥庆 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第1期82-87,共6页
A novel method to characterize CMOS process fluctuations in subthreshold current mirrors (SCM) is reported. The proposed model is succinct in methodology and calculation complexity compared with previous statistical... A novel method to characterize CMOS process fluctuations in subthreshold current mirrors (SCM) is reported. The proposed model is succinct in methodology and calculation complexity compared with previous statistical models. However,it provides favorable estimations of CMOS process fluctuations on the SCM circuit, which makes it promising for engineering applications. The model statistically abstracts physical parameters, which depend on the IC process, into random variables with certain mean values and standard deviations, while aggregating all the random impacts into a discrete martingale. The correctness of the proposed method is experimentally verified on an SCM circuit implemented in an SMIC 0.18μm CMOS 1P6M mixed signal process with a conversion factor of 100 in an input range from 100pA to lμA. The pro- posed theory successfully predicts - 10% of die-to-die fluctuation measured in the experiment, and also suggests the -lmV of threshold voltage standard deviation over a single die,which meets the process parameters suggested by the design kit from the foundry. The deviations between calculated probabilities and measured data are less than 8%. Meanwhile, pertinent suggestions concerning high fluctuation tolerance subthreshold analog circuit design are also made and discussed. 展开更多
关键词 CMOS process fluctuations subthreshold current mirror random variable PROBABILITY discrete martingale
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双齿辊破碎机破碎力及相位前移研究
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作者 常锡振 姚红良 +1 位作者 纪盛青 王刚 《机械设计与制造》 北大核心 2018年第5期144-147,共4页
首先,将前苏联专家总结的采煤机截割阻力公式引入到双齿辊破碎机中,并得出了物料颗粒在瞬态稳定支承条件下的截割力与支承反力相平衡的关系,推导出了具有物料颗粒随机离散特性的广义破碎力表达式;然后,讨论了基于生产能力的物料颗粒随... 首先,将前苏联专家总结的采煤机截割阻力公式引入到双齿辊破碎机中,并得出了物料颗粒在瞬态稳定支承条件下的截割力与支承反力相平衡的关系,推导出了具有物料颗粒随机离散特性的广义破碎力表达式;然后,讨论了基于生产能力的物料颗粒随机离散特性,给出了满足D3分布的颗粒容重递推公式及区间颗粒数表达式;其次,分析了截割颗粒物料的时间脉冲载荷概率系数,着重讨论了在瞬时稳定支承及双弓厚截割条件下的细颗粒物料破碎的相位前移,以及与生产能力和功耗的关系;最后,给出了具有颗粒物料随机离散特性的脉冲载荷的矩阵表达式。对研究开发细颗粒物料破碎机具有重要理论意义和实际应用价值。 展开更多
关键词 截割阻力 随机离散概率 脉冲载荷 相位前移
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