The F-PTM method of Reliability Estimation for Flip-Flops

OUYANG Cheng-tian; JIANG Jian-hui; WANG Xi

doi:10.3969/j.issn.0372-2112.2016.09.029

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The F-PTM method of Reliability Estimation for Flip-Flops

更新时间：2025-07-16

- The F-PTM method of Reliability Estimation for Flip-Flops
- Acta Electronica Sinica Vol. 44, Issue 9, Pages: 2219-2226(2016)
- 作者机构：
  
  1. 同济大学软件学院,上海,201804
  2. 江西理工大学信息工程学院,江西,赣州,341000
  3. 同济大学软件学院,上海,201804
  4. 江西理工大学信息工程学院,江西,赣州,341000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61561024, No.61432017, No.61462034);Program of Eduacation Department of Jiangxi Province (No.GJJ14429);Natural Science Project of Jiangxi Province (No.20151BAB207035)
- DOI：10.3969/j.issn.0372-2112.2016.09.029
  CLC： TP302.8
- Published Online：25 September 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
OUYANG Cheng-tian, JIANG Jian-hui, WANG Xi. The F-PTM method of Reliability Estimation for Flip-Flops[J]. Acta Electronica Sinica, 2016, 44(9): 2219-2226.
DOI：

OUYANG Cheng-tian, JIANG Jian-hui, WANG Xi. The F-PTM method of Reliability Estimation for Flip-Flops[J]. Acta Electronica Sinica, 2016, 44(9): 2219-2226. DOI： 10.3969/j.issn.0372-2112.2016.09.029.

摘要

传统的概率转移矩阵（PTM）方法是一种用于估计软错误对组合电路可靠度影响的有效方法，但传统PTM方法只适用于组合逻辑电路的可靠度评估.触发器是时序逻辑电路的重要组成部分，其可靠度评估对时序电路的可靠度分析研究至关重要.为此，本文提出了基于PTM的触发器可靠度计算的F-PTM方法及电路PTM的判定定理.F-PTM方法首先建立触发器电路的特征方程，再用电路PTM的判定定理生成触发器的PTM，最后，根据输入信号的概率分布函数计算出电路的可靠度.与传统PTM方法相比较，F-PTM方法既能计算组合电路的PTM，又能计算触发器电路的PTM，其通用性强.对典型的触发器电路和74X系列电路中的触发器电路的实验结果表明，F-PTM方法合理可行.与多阶段方法和Monte Carlo方法的实验结果相比较，F-PTM方法得到的结果更精确.

Abstract

The traditional method based on probabilistic transfer matrices (PTM) enables accurate evaluation of reliability for moderately large combinational circuits

but it can only be applied to combinational circuits.Flip-flop is an important component of sequential circuits

and its reliability estimation is essential for reliability analysis of sequential circuits.Therefore

a general computational framework for reliability estimation of flip-flops based on PTM (F-PTM) and a decision theorem of circuit's PTM are proposed.Firstly

a logical function of the flip-flop circuit is expressed;and then its PTM is calculated by deduction employing the proposed decision theorem;finally

the circuit's reliability is estimated by probability distribution of its inputs.Compared with the traditional PTM method

the F-PTM method can calculate PTMs for both combinational circuits and flip-flop circuits.Experimental results of the classical flip-flop circuits and 74X series circuits show that the F-PTM method is efficient and feasible.The comparison of our method with multiple-pass method and Monte Carlo simulation also demonstrate that the reliability results estimated by the F-PTM method is more accurate.

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