Cyclostationarity and resampling for vibroacoustic signals

Abstract

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 Leskow 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.