Fourier series based nonminimum phase model for second- and higher-order statistical signal processing

2002 ◽  
Author(s):  
Chong-Yung Chi
Keyword(s):  
Signal Processing ◽  
Fourier Series ◽  
Statistical Signal Processing ◽  
Higher Order ◽  
Phase Model ◽  
Nonminimum Phase

scholarly journals Statistical Signal Processing by Using the Higher-Order Correlation between Sound and Vibration and Its Application to Fault Detection of Rotational Machine

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Hisako Masuike ◽  
Akira Ikuta
Keyword(s):  
Signal Processing ◽  
Probability Distribution ◽  
Time Domain ◽  
Statistical Signal Processing ◽  
Higher Order ◽  
Orthogonal Expansion ◽  
Mutual Relationship ◽  
Diagnosis Method ◽  
Correlation Information ◽  
Multidimensional Probability

In this study, a stochastic diagnosis method based on the changing information of not only a linear correlation but also a higher-order nonlinear correlation is proposed in a form suitable for online signal processing in time domain by using a personal computer, especially in order to find minutely the mutual relationship between sound and vibration emitted from rotational machines. More specifically, a conditional probability hierarchically reflecting various types of correlation information is theoretically derived by introducing an expression on the multidimensional probability distribution in orthogonal expansion series form. The effectiveness of the proposed theory is experimentally confirmed by applying it to the observed data emitted from a rotational machine driven by an electric motor.

On: Short note “Higher order autospectra by maximun entropy method”, by R. O. Plaisted and H. G. Peña (GEOPHYSICS, 48, 1409–1410, October, 1983).

Geophysics ◽  
1984 ◽  
Vol 49 (12) ◽  
pp. 2196-2197
Author(s):  
Toshifumi Matsuoka ◽  
Tad J. Ulrych
Keyword(s):  
Signal Processing ◽  
Short Note ◽  
Estimation Method ◽  
Difficult Problem ◽  
Higher Order ◽  
Entropy Method ◽  
Phase Estimation ◽  
Phase Information ◽  
Nonminimum Phase ◽  
Geophysical Signal

Recently Rosenblatt (1980) and Lii and Rosenblatt (1982) developed a phase estimation method for nonminimum phase MA processes by using the bispectrum which contains the required phase information of the wavelet. The computation of the bispectrum is, consequently, of importance in geophysical signal processing, particularly in the difficult problem of wavelet estimation.

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