In order to evaluate the accuracy of bispectral estimation method, signals of cosine function were adopted. Because the cosine signals’ three order moment spectrum and three order cumulant spectrum are zero, Non zero part of the bispectrum estimated by no matter which method is the estimation error. Through the comparison of three kinds of estimation methods: the direct method, indirect method and AR parameter method, errors of various estimation methods were obtained, then changing the values of different parameters in all methods, and observing the bispectral error values changes with the parameters, so as to provide a basis for the various bispectrum estimation method and the selection.
References
[1]
Zhang, X.D. (2002) Modern Signal Processing. Tsinghua University Press, Beijing, 263-281.
[2]
Wu, W.B. and Huang, Y.J. (2011) Based on the Fault Diagnosis of the Pressure-Reducing Valve of Bicoherent Spectrum. Computer Measurement and Control, 19, 2413-2416.
[3]
Shao, R.P., Huang, X.N. and Liu, H.Y. (2008) Fault Detection and Diagnosis of Gear System Based on High Order Cumulant. Journal of Mechanical Engineering, 44, 161-168.
[4]
Kocur, D. and Stanko, R. (2000) Order Bispectrum: A New Tool for Reciprocated Machine Condition Monitoring. Mechanical Systems & Signal Processing, 14, 871-890. https://doi.org/10.1006/mssp.2000.1307
[5]
Zhang, Y. and Wang, S.X. (1998) Analysis of the Method of Slice Spectrum Analysis of Nonlinear Phasecoupling. Electronic Journal, 26, 104-109.
[6]
Yang, J.T., Zhou, L.H. and Chen, J.J. (1999) Higher Order Spectra and Its Application in Machinery Fault Diagnosis. Transactions of Tianjin University, 5, 190-194.