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An Approximate Calculation of Ratio of Normal Variables and Its Application in Analog Circuit Fault Diagnosis

Published: 01 August 2013 Publication History

Abstract

The challenging tolerance problem in fault diagnosis of analog circuit remains unsolved. To diagnose the soft-fault with tolerance effectively, a novel diagnosis approach based on the ratio of normal variables and the slope fault model was proposed. Firstly, the approximate distribution function of the ratio of normal variables was deduced and the basic approximate conditions were given to improve the approximation accuracy. The conditional monotonous and continuous mapping between the ratio of normal variables and the standard normal variable was proved. Based on the aforementioned proved mapping, the estimation formulas of the range of the ratio of normal variables were deduced. Then, the principle of the slope fault model for linear analog circuit was presented. After the contrastive analysis of the typical methods of handling tolerance based on the slope fault model, the ratio of normal variables and the slope fault model were combined and a test-nodes selection algorithm based on the basic approximate conditions of ratio of normal variables was designed, by which the computation can be reduced greatly. Finally, experiments were done to illustrate the proposed approach and demonstrate its effectiveness.

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Cited By

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  • (2023)Analog Circuit Fault Diagnosis Based on the Fractional Sliding Model ObserverCircuits, Systems, and Signal Processing10.1007/s00034-023-02432-042:11(6460-6480)Online publication date: 1-Nov-2023
  • (2020)Diagnosis of Incipient Faults in Nonlinear Analog Circuits Based on High Order Moment Fractional TransformJournal of Electronic Testing: Theory and Applications10.1007/s10836-020-05889-y36:4(485-498)Online publication date: 12-Jun-2020
  • (2017)Soft Fault Diagnosis in Analog Circuits Based on Bispectral ModelsJournal of Electronic Testing: Theory and Applications10.1007/s10836-017-5686-533:5(543-557)Online publication date: 1-Oct-2017
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Published In

cover image Journal of Electronic Testing: Theory and Applications
Journal of Electronic Testing: Theory and Applications  Volume 29, Issue 4
August 2013
158 pages

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 August 2013

Author Tags

  1. Analog circuit
  2. Ratio of normal variables
  3. Slope fault model
  4. Soft-fault

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Cited By

View all
  • (2023)Analog Circuit Fault Diagnosis Based on the Fractional Sliding Model ObserverCircuits, Systems, and Signal Processing10.1007/s00034-023-02432-042:11(6460-6480)Online publication date: 1-Nov-2023
  • (2020)Diagnosis of Incipient Faults in Nonlinear Analog Circuits Based on High Order Moment Fractional TransformJournal of Electronic Testing: Theory and Applications10.1007/s10836-020-05889-y36:4(485-498)Online publication date: 12-Jun-2020
  • (2017)Soft Fault Diagnosis in Analog Circuits Based on Bispectral ModelsJournal of Electronic Testing: Theory and Applications10.1007/s10836-017-5686-533:5(543-557)Online publication date: 1-Oct-2017
  • (2016)Practical Analog Circuit Diagnosis Based on Fault Features with Minimum AmbiguitiesJournal of Electronic Testing: Theory and Applications10.1007/s10836-015-5561-132:1(83-95)Online publication date: 1-Feb-2016
  • (2016)Soft Fault Feature Extraction in Nonlinear Analog Circuit Fault DiagnosisCircuits, Systems, and Signal Processing10.1007/s00034-016-0265-z35:12(4220-4248)Online publication date: 1-Dec-2016
  • (2016)A New Hybrid Fault Diagnostic Method for Combining Dependency Matrix Diagnosis and Fuzzy Diagnosis Based on an Enhanced Inference OperatorCircuits, Systems, and Signal Processing10.1007/s00034-015-0047-z35:1(1-28)Online publication date: 1-Jan-2016

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