Cyclostationarity and Resampling for Vibroacoustic Signals

• Authors: J. Leśkow
• Languages of publication: EN

Abstracts

EN

Cyclostationarity as a feature of signals was extensively studied in last decades. Publications of Serpedin or Gardner provide an important survey documenting the impact of cyclostationary models on signal analysis in telecommunication, mechanical, acoustic, and econometric signals. The aim of this paper is to introduce the concept of cyclostationarity for mechanical signals and to present the possibilities of various resampling procedures available for such signals. Recent research of Leśkow has shown applicability of bootstrap and subsampling procedures to cyclostationary models. This means, in particular, that the modern statistical mechanical signal analysis can be done without the assumption of Gaussianity and/or without specific linear filtration structure imposed on the signal. In the paper, we show that subsampling procedure proves to be a useful diagnostic tool for testing the cyclic autocorrelation structure for signals generated by vibration.

Keywords

EN

02.50.-r; 05.20.-y

Discipline

• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)
• 05.20.-y: Classical statistical mechanics

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1A
• Pages: A-160-A-163

Dates

published

2012-01

Contributors

author

J. Leśkow

• Department of Quantitative Methods in Management, WSB-NLU, Nowy Sącz, Poland

References

• [1] J. Antoni, Mechanical Systems and Signal Processing, doi:10.1016/j.ymssp.2008.10.010 (2009)
• [2] J. Antoni, F. Bonnardot, A. Raad, M. el Badaoui, Mechanical Systems and Signal Processing, 18, 1020 (2004)
• [3] D. Dehay, J. Leśkow, J. Appl. Probab. 33, 1077 (1996)
• [4] W. Gardner, A. Napolitano, L. Paura, Signal Process. 86, 639 (2006)
• [5] S. Lahiri, Resampling Methods for Dependent Data, Springer Verlag, 2003
• [6] J. Leśkow, J. Time Series Anal. 29, 253 (2008)
• [7] J. Leśkow, R. Synowiecki, Metrika 71, (3) (2009)
• [8] E. Serpedin, F. Panduru, I. Sari, G.B. Giannakis, Signal Process. 85, (2005)
• [9] A.M. Zoubir, D.R. Iskander, IEEE Sign. Process. Mag. 10, (2007)

Identifiers

DOI

10.12693/APhysPolA.121.A-160