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1. 发明授权

US08495544B2 Statistical delay and noise calculation considering cell and interconnect variations 有权
标题翻译：考虑细胞和互连变化的统计延迟和噪声计算
公开(公告)号：US08495544B2
公开(公告)日：2013-07-23
申请号：US12928833
申请日：2010-12-21
申请人： Mustafa Celik , Jiayong Le
发明人： Mustafa Celik , Jiayong Le
IPC分类号： G06F17/50
CPC分类号： G06F17/5031 , G06F2217/10
摘要： The electrical circuit timing method provides accurate nominal delay together with the delay sensitivities with respect to different circuit elements (e.g., cells, interconnects, etc.) and variational parameters (e.g., process variations; environmental variations). All the sensitivity computations are based on closed-form formulas; as a consequence, the method provides rapidly and at low cost high accuracy and high numerical stability.
摘要翻译：电路定时方法提供精确的标称延迟以及相对于不同电路元件（例如，单元，互连等）和变化参数（例如，工艺变化;环境变化）的延迟灵敏度。所有灵敏度计算均基于闭式公式; 因此，该方法快速且低成本地提供高精度和高数值稳定性。

2. 发明申请

US20120072880A1 Sensitivity-based complex statistical modeling for random on-chip variation 有权
标题翻译：基于敏感度的随机片上变化的复杂统计建模
公开(公告)号：US20120072880A1
公开(公告)日：2012-03-22
申请号：US13199222
申请日：2011-08-23
申请人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
发明人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
IPC分类号： G06F17/50
CPC分类号： G06F17/5045 , G06F17/5031 , G06F17/5068 , G06F2217/84
摘要： The invention provides a method for performing statistical static timing analysis using a novel on-chip variation model, referred to as Sensitivity-based Complex Statistical On-Chip Variation (SCS-OCV).SCS-OCV introduces complex variation concept to resolve the blocking technical issue of combining local random variations, enabling accurate calculation of statistical variations with correlations, such as common-path pessimism removal (CPPR).SCS-OCV proposes practical statistical min/max operations for random variations that can guarantee pessimism at nominal and targeted N-sigma corner, and extends the method to handle complex variations, enabling graph-based full arrival/required time propagation under variable compaction.SCS-OCV provides a statistical corner evaluation method for complex random variables that can transform vector-based parametric timing information to the single-value corner-based timing report, and based on the method derives equations to bridge POCV/SSTA with LOCV. This significantly reduces the learning curve and increases the usage of the technology, being more easily adopted by the industry.
摘要翻译：本发明提供一种用于使用称为基于灵敏度的复杂统计片上变化（SCS-OCV）的新颖的片上变化模型来执行统计静态时序分析的方法。 SCS-OCV引入了复杂的变异概念，以解决组合局部随机变量的阻塞技术问题，从而能够准确计算统计变异与相关性，如共路径悲观消除（CPPR）。 SCS-OCV为随机变化提供了实用的统计最小/最大运算，可以保证名义和目标N-Σ角的悲观，并扩展了处理复杂变化的方法，从而在可变压缩下实现了基于图形的完全到达/所需时间传播。 SCS-OCV为复杂的随机变量提供了统计角点评估方法，可以将基于矢量的参数定时信息转换为基于单值角的定时报告，并且基于该方法得出方程来将POCV / SSTA与LOCV桥接。这显着降低了学习曲线，增加了该技术的使用，更容易被行业所采纳。

3. 发明授权

US08407640B2 Sensitivity-based complex statistical modeling for random on-chip variation 有权
标题翻译：基于敏感度的随机片上变化的复杂统计建模
公开(公告)号：US08407640B2
公开(公告)日：2013-03-26
申请号：US13199222
申请日：2011-08-23
申请人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
发明人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
IPC分类号： G06F9/455 , G06F17/50
CPC分类号： G06F17/5045 , G06F17/5031 , G06F17/5068 , G06F2217/84
摘要： The invention provides a method for performing statistical static timing analysis using a novel on-chip variation model, referred to as Sensitivity-based Complex Statistical On-Chip Variation (SCS-OCV). SCS-OCV introduces complex variation concept to resolve the blocking technical issue of combining local random variations, enabling accurate calculation of statistical variations with correlations, such as common-path pessimism removal (CPPR). SCS-OCV proposes practical statistical min/max operations for random variations that can guarantee pessimism at nominal and targeted N-sigma corner, and extends the method to handle complex variations, enabling graph-based full arrival/required time propagation under variable compaction. SCS-OCV provides a statistical corner evaluation method for complex random variables that can transform vector-based parametric timing information to the single-value corner-based timing report, and based on the method derives equations to bridge POCV/SSTA with LOCV. This significantly reduces the learning curve and increases the usage of the technology, being more easily adopted by the industry.
摘要翻译：本发明提供一种用于使用称为基于灵敏度的复杂统计片上变化（SCS-OCV）的新颖的片上变化模型来执行统计静态时序分析的方法。 SCS-OCV引入了复杂的变异概念，以解决组合局部随机变量的阻塞技术问题，从而能够准确计算统计变异与相关性，如共路径悲观消除（CPPR）。 SCS-OCV为随机变量提供了实用的统计最小/最大运算，可以保证名义和目标N-σ角的悲观，并扩展了处理复杂变化的方法，从而在可变压缩下实现了基于图形的全到达/所需时间传播。 SCS-OCV为复杂的随机变量提供了统计角点评估方法，可以将基于矢量的参数定时信息转换为基于单值角的定时报告，并且基于该方法得出方程来将POCV / SSTA与LOCV桥接。这显着降低了学习曲线，增加了该技术的使用，更容易被行业所采纳。

4. 发明申请

US20110099531A1 Statistical delay and noise calculation considering cell and interconnect variations 有权
标题翻译：考虑细胞和互连变化的统计延迟和噪声计算
公开(公告)号：US20110099531A1
公开(公告)日：2011-04-28
申请号：US12928833
申请日：2010-12-21
申请人： Mustafa Celik , Jiayong Le
发明人： Mustafa Celik , Jiayong Le
IPC分类号： G06F17/50
CPC分类号： G06F17/5031 , G06F2217/10
摘要： The electrical circuit timing method provides accurate nominal delay together with the delay sensitivities with respect to different circuit elements (e.g., cells, interconnects, etc.) and variational parameters (e.g., process variations; environmental variations). All the sensitivity computations are based on closed-form formulas; as a consequence, the method provides rapidly and at low cost high accuracy and high numerical stability.
摘要翻译：电路定时方法提供精确的标称延迟以及相对于不同电路元件（例如，单元，互连等）和变化参数（例如，工艺变化;环境变化）的延迟灵敏度。所有灵敏度计算均基于闭式公式; 因此，该方法快速且低成本地提供高精度和高数值稳定性。

5. 发明申请

US20080072198A1 Defining Statistical Sensitivity for Timing Optimization of Logic Circuits with Large-Scale Process and Environmental Variations 有权
标题翻译：定义具有大规模过程和环境变化的逻辑电路的时序优化的统计灵敏度
公开(公告)号：US20080072198A1
公开(公告)日：2008-03-20
申请号：US11629445
申请日：2005-06-11
申请人： Mustafa Celik , Jiayong Le , Lawrence Pileggi , Xin Li
发明人： Mustafa Celik , Jiayong Le , Lawrence Pileggi , Xin Li
IPC分类号： G06F17/50
CPC分类号： G06F17/5031 , G06F2217/10
摘要： The large-scale process and environmental variations for today's nano-scale ICs are requiring statistical approaches for timing analysis and optimization (1). Significant research has been recently focused on developing new statistical timing analysis algorithms (2), but often without consideration for how one should interpret the statistical timing results for optimization. The invention provides a sensitivity-based metric (2) to assess the criticality of each path and/or arc in the statistical timing graph (4). The statistical sensitivities for both paths and arcs are defined. It is shown that path sensitivity is equivalent to the probability that a path is critical, and arc sensitivity is equivalent to the probability that an arc sits on the critical path. An efficient algorithm with incremental analysis capability (2) is described for fast sensitivity computation that has a linear runtime complexity in circuit size. The efficacy of the proposed sensitivity analysis is demonstrated on both standard benchmark circuits and large industry examples.
摘要翻译：目前的纳米尺度IC的大规模工艺和环境变化需要用于时序分析和优化的统计方法（1）。最近重点研究重点是开发新的统计时序分析算法（2），但往往不考虑如何解释统计时序结果进行优化。本发明提供了一种基于灵敏度的度量（2）来评估统计时序图（4）中每个路径和/或弧的关键性。定义了路径和弧线的统计灵敏度。显示路径灵敏度等于路径关键的概率，弧敏感度等于弧位于关键路径上的概率。描述了具有增量分析能力的有效算法（2），用于快速灵敏度计算，其电路尺寸具有线性运行时间复杂度。提出的灵敏度分析的功效在标准基准电路和大型行业实例中得到证明。

6. 发明授权

US08555222B2 Statistical corner evaluation for complex on chip variation model 有权
标题翻译：复杂的片上变异模型的统计角度评估
公开(公告)号：US08555222B2
公开(公告)日：2013-10-08
申请号：US13784701
申请日：2013-03-04
申请人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
发明人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
IPC分类号： G06F9/455 , G06F17/50
CPC分类号： G06F17/5045 , G06F17/5031 , G06F17/5068 , G06F2217/84
摘要： The invention provides a method for performing statistical static timing analysis using a novel on-chip variation model, referred to as Sensitivity-based Complex Statistical On-Chip Variation (SCS-OCV). SCS-OCV introduces complex variation concept to resolve the blocking technical issue of combining local random variations, enabling accurate calculation of statistical variations with correlations, such as common-path pessimism removal (CPPR). SCS-OCV proposes practical statistical min/max operations for random variations that can guarantee pessimism at nominal and targeted N-sigma corner, and extends the method to handle complex variations, enabling graph-based full arrival/required time propagation under variable compaction. SCS-OCV provides a statistical corner evaluation method for complex random variables that can transform vector-based parametric timing information to the single-value corner-based timing report, and based on the method derives equations to bridge POCV/SSTA with LOCV. This significantly reduces the learning curve and increases the usage of the technology, being more easily adopted by the industry.
摘要翻译：本发明提供一种用于使用称为基于灵敏度的复杂统计片上变化（SCS-OCV）的新颖的片上变化模型来执行统计静态时序分析的方法。 SCS-OCV引入了复杂的变异概念，以解决组合局部随机变量的阻塞技术问题，从而能够准确计算统计变异与相关性，如共路径悲观消除（CPPR）。 SCS-OCV为随机变量提供了实用的统计最小/最大运算，可以保证名义和目标N-σ角的悲观，并扩展了处理复杂变化的方法，从而在可变压缩下实现了基于图形的全到达/所需时间传播。 SCS-OCV为复杂的随机变量提供了统计角点评估方法，可以将基于矢量的参数定时信息转换为基于单值角的定时报告，并且基于该方法得出方程来将POCV / SSTA与LOCV桥接。这显着降低了学习曲线，增加了该技术的使用，更容易被行业所采纳。

7. 发明授权

US07890915B2 Statistical delay and noise calculation considering cell and interconnect variations 有权
标题翻译：考虑细胞和互连变化的统计延迟和噪声计算
公开(公告)号：US07890915B2
公开(公告)日：2011-02-15
申请号：US11918760
申请日：2006-03-17
申请人： Mustafa Celik , Jiayong Le
发明人： Mustafa Celik , Jiayong Le
IPC分类号： G06F9/455 , G06F17/50
CPC分类号： G06F17/5031
摘要： The electrical circuit timing method provides accurate nominal delay together with the delay sensitivities with respect to different circuit elements {e.g., cells, interconnects, etc.) and variational parameters (e.g., process variations; environmental variations). All the sensitivity computations are based on closed-form formulas; as a consequence, the method provides rapidly and at low cost high accuracy and high numerical stability.
摘要翻译：电路定时方法提供精确的标称延迟以及相对于不同电路元件（例如，单元，互连等）和变化参数（例如，工艺变化;环境变化）的延迟灵敏度。所有灵敏度计算均基于闭式公式; 因此，该方法快速且低成本地提供高精度和高数值稳定性。

8. 发明授权

US07487486B2 Defining statistical sensitivity for timing optimization of logic circuits with large-scale process and environmental variations 有权
标题翻译：定义具有大规模工艺和环境变化的逻辑电路的时序优化的统计灵敏度
公开(公告)号：US07487486B2
公开(公告)日：2009-02-03
申请号：US11629445
申请日：2005-06-11
申请人： Mustafa Celik , Jiayong Le , Lawrence Pileggi , Xin Li
发明人： Mustafa Celik , Jiayong Le , Lawrence Pileggi , Xin Li
IPC分类号： G06F17/50 , G06F7/60 , G06F7/52
CPC分类号： G06F17/5031 , G06F2217/10
摘要： The large-scale process and environmental variations for today's nano-scale ICs are requiring statistical approaches for timing analysis and optimization (1). Significant research has been recently focused on developing new statistical timing analysis algorithms (2), but often without consideration for how one should interpret the statistical timing results for optimization. The invention provides a sensitivity-based metric (2) to assess the criticality of each path and/or arc in the statistical timing graph (4). The statistical sensitivities for both paths and arcs are defined. It is shown that path sensitivity is equivalent to the probability that a path is critical, and arc sensitivity is equivalent to the probability that an arc sits on the critical path. An efficient algorithm with incremental analysis capability (2) is described for fast sensitivity computation that has a linear runtime complexity in circuit size. The efficacy of the proposed sensitivity analysis is demonstrated on both standard benchmark circuits and large industry examples.
摘要翻译：目前的纳米尺度IC的大规模工艺和环境变化需要用于时序分析和优化的统计方法（1）。最近重点研究重点是开发新的统计时序分析算法（2），但往往不考虑如何解释统计时序结果进行优化。本发明提供了一种基于灵敏度的度量（2）来评估统计时序图（4）中每个路径和/或弧的关键性。定义了路径和弧线的统计灵敏度。显示路径灵敏度等于路径关键的概率，弧敏感度等于弧位于关键路径上的概率。描述了具有增量分析能力的有效算法（2），用于快速灵敏度计算，其电路尺寸具有线性运行时间复杂度。提出的灵敏度分析的功效在标准基准电路和大型行业实例中得到证明。

9. 发明申请

US20130179851A1 STATISTICAL CORNER EVALUATION FOR COMPLEX ON CHIP VARIATION MODEL 有权
标题翻译：统计角度对芯片变化模型的复杂度评估
公开(公告)号：US20130179851A1
公开(公告)日：2013-07-11
申请号：US13784701
申请日：2013-03-04
申请人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
发明人： Jiayong Le , Mustafa Celik , Guy Maor , Ayhan Mutlu
IPC分类号： G06F17/50
CPC分类号： G06F17/5045 , G06F17/5031 , G06F17/5068 , G06F2217/84
摘要： The invention provides a method for performing statistical static timing analysis using a novel on-chip variation model, referred to as Sensitivity-based Complex Statistical On-Chip Variation (SCS-OCV).SCS-OCV introduces complex variation concept to resolve the blocking technical issue of combining local random variations, enabling accurate calculation of statistical variations with correlations, such as common-path pessimism removal (CPPR).SCS-OCV proposes practical statistical min/max operations for random variations that can guarantee pessimism at nominal and targeted N-sigma corner, and extends the method to handle complex variations, enabling graph-based full arrival/required time propagation under variable compaction.SCS-OCV provides a statistical corner evaluation method for complex random variables that can transform vector-based parametric timing information to the single-value corner-based timing report, and based on the method derives equations to bridge POCV/SSTA with LOCV. This significantly reduces the learning curve and increases the usage of the technology, being more easily adopted by the industry.
摘要翻译：本发明提供一种用于使用称为基于灵敏度的复杂统计片上变化（SCS-OCV）的新颖的片上变化模型来执行统计静态时序分析的方法。 SCS-OCV引入了复杂的变异概念，以解决组合局部随机变量的阻塞技术问题，从而能够准确计算统计变异与相关性，如共路径悲观消除（CPPR）。 SCS-OCV为随机变量提供了实用的统计最小/最大运算，可以保证名义和目标N-σ角的悲观，并扩展了处理复杂变化的方法，从而在可变压缩下实现了基于图形的全到达/所需时间传播。 SCS-OCV为复杂的随机变量提供了统计角点评估方法，可以将基于矢量的参数定时信息转换为基于单值角的定时报告，并且基于该方法得出方程来将POCV / SSTA与LOCV桥接。这显着降低了学习曲线，增加了该技术的使用，更容易被行业所采纳。

10. 发明申请

US20090288050A1 Statistical delay and noise calculation considering cell and interconnect variations 有权
标题翻译：考虑细胞和互连变化的统计延迟和噪声计算
公开(公告)号：US20090288050A1
公开(公告)日：2009-11-19
申请号：US11918760
申请日：2006-03-17
申请人： Mustafa Celik , Jiayong Le
发明人： Mustafa Celik , Jiayong Le
IPC分类号： G06F17/50
CPC分类号： G06F17/5031
摘要： The electrical circuit timing method provides accurate nominal delay together with the delay sensitivities with respect to different circuit elements {e.g., cells, interconnects, etc.) and variational parameters (e.g., process variations; environmental variations). All the sensitivity computations are based on closed-form formulas; as a consequence, the method provides rapidly and at low cost high accuracy and high numerical stability.
摘要翻译：电路定时方法提供精确的标称延迟以及相对于不同电路元件（例如，单元，互连等）和变化参数（例如，工艺变化;环境变化）的延迟灵敏度。所有灵敏度计算均基于闭式公式; 因此，该方法快速且低成本地提供高精度和高数值稳定性。

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