Spectral change detection for deep-hole drilling

A control chart for detecting changes in the spectrum of a time series is developed. It is based on a spectral representation using the SLEX function. The control chart compares spectral characteristics from recent to past time windows with spectral divergence measures. As an application, the structure-borne sound measured at the single-lip deep-hole boring machine is put under statistical investigation in order to detect signs of chatter vibration in the process. Different spectral divergence measures are empirically compared with respect to their ability to separate non-chattering from chattering process parts.

[1]  Uwe Ligges,et al.  Detection of locally stationary segments in time series: Algorithms and applications , 2002 .

[2]  E. J. Hannan,et al.  Time series regression of sea level on weather , 1968 .

[3]  E. S. Page.  Cumulative Sum Charts , 1961 .

[4]  Anthony L Bertapelle.  Spectral Analysis of Time Series. , 1979 .

[5]  M. Victor Wickerhauser,et al.  Adapted wavelet analysis from theory to software , 1994 .

[6]  Charles W. Champ,et al.  A multivariate exponentially weighted moving average control chart , 1992 .

[7]  M. Basseville.  Distance measures for signal processing and pattern recognition , 1989 .

[8]  D. Brillinger.  Time series - data analysis and theory , 1981, Classics in applied mathematics.

[9]  M. B. Priestley,et al.  Non-linear and non-stationary time series analysis , 1990 .

[10]  Michael Eichler,et al.  Testing nonparametric and semiparametric hypotheses in vector stationary processes , 2008 .

[11]  A. Gray,et al.  Distance measures for speech processing , 1976 .

[12]  J. Raz,et al.  Automatic Statistical Analysis of Bivariate Nonstationary Time Series , 2001 .

[13]  ByoungSeon Choi,et al.  Arma Model Identification , 1992 .

[14]  Michèle Basseville,et al.  Detection of abrupt changes: theory and application , 1993 .

[15]  Bruno Torrésani,et al.  Practical Time-Frequency Analysis, Volume 9: Gabor and Wavelet Transforms, with an Implementation in S , 1998 .

[16]  T. Subba Rao.  A cumulative sum test for detecting change in time series , 1981 .

[17]  D. Picard.  Testing and estimating change-points in time series , 1985, Advances in Applied Probability.

[18]  Anita Silvia Busch.  Statistische Analyse und Rattererkennung beim Einlippen-Tiefbohren , 2006 .

[19]  Jörn Mehnen,et al.  Rechnerbasierte Prozess-Zustandserkennung beim Einlippen-Tiefbohren , 2002 .

[20]  Hernando Ombao,et al.  Online analysis of seismic signals , 2004 .

[21]  Maliha S. Nash,et al.  Practical Time-Frequency Analysis, Gabor and Wavelet Transforms With an Implementation in S , 2002, Technometrics.