Analog Circuit Fault Diagnosis Based on Volterra Series

Abstract:

The Volterra series are a functional series.Its kernals both in time domain and frequency domain have definite physical significance and are independent with the system input. Thus the kernals can reflect intrinsic nature of the system. Thus the Volterra series can be used to analyze the nonlinear analog circuit.The fault feature can be extracted based on the direct analysis on the frequency response of nonlinear analog circuit so as to detect the fault in nonlinear analog circuit.

• Periodical: Advanced Materials Research (Volumes 718-720)
• Pages: 1150-1154
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.718-720.1150
• Online since: July 2013
• Authors: Ping Xu, Kai Wang, Li Geng
• Keywords: Fault Detection, Fault Feature, Nonlinear Analog Circuit, Volterra Series

References

[1] S. Klein, S. Yasui, "Nonlinear Systems Analysis with Non-Gaussian White Stimuli:General Basis Functionals and Kernels," IEEE Transactions on Information Theory, 1979, Vol. IT-25, pp.495-500.

DOI: 10.1109/tit.1979.1056054

[2] G. Palm, T. Poggio, "The Volterra Representation and the Wiener Expansion: Validity and Pitfalls," SIAM Journal on Applied Mathematics, 1977, Vol. 33, pp.195-216.

DOI: 10.1137/0133012

[3] S. Yasui, "Stochastic Functional Fourier Series, Volterra Series, and Nonlinear Systems Analysis," IEEE Transactions on Automatic Control, 1979, Vol. AC-24, pp.230-242.

DOI: 10.1109/tac.1979.1101990

[4] M. Korenberg, "Identification of Biological Cascades of Linear and Static Nonlinear Systems," Proceedings of the Sixteenth Midwest Symposium on Circuit Theory, 1973, pp.1-9.

[5] M. Korenberg, "Cross-correlation Analysis of Neural Cascades," Proceedings of the Tenth Annual Rocky Mountain Bioengineering Symposium, 1973, pp.47-52.

[6] D. Brillinger, "Fourier Analysis of Stationary Processes," Proceedings of the IEEE, 1974, Vol. 62, pp.1628-1643.

DOI: 10.1109/proc.1974.9682

[7] D. Brillinger, "The Identification of Polynomial Systems by means of Higher Order Spectra," Journal of Sound and Vibration, 1970, Vol. 12, pp.301-313.

DOI: 10.1016/0022-460x(70)90074-x

[8] S. Baumgartner, W. Rugh, "Complete Identification of a Class of Nonlinear Systems from Steady-State Frequency Response," IEEE Transactions on Circuits and Systems, 1975, Vol.CAS-22, pp.753-759.

DOI: 10.1109/tcs.1975.1084123

[9] E. Wysocki, W. Rugh, "Further Results on the Identification Problem for the Class of Nonlinear Systems SM," IEEE Transactions on Circuits and Systems, 1976, Vol. CAS-23, pp.664-670.

DOI: 10.1109/tcs.1976.1084151

[10] J. Sandor, D. Williamson, "Identification and Analysis of Nonlinear Systems by Tensor Techniques," International Journal of Control, 1978, Vol. 27, pp.853-878.

DOI: 10.1080/00207177808922417