Title
Robust testing for stationarity in the presence of outliers
Abstract
Testing the stationarity of stochastic processes is required in a variety of signal processing applications. When dealing with real-world problems, the presence of outliers and impulsive (heavy-tailed) noise causes classical stationarity tests to break down. In this work, a set of robust stationarity tests that are based on a sphericity statistic test (SST) in the frequency domain is proposed. Different possible approaches are investigated and compared to existing robust and non-robust stationarity tests in terms of the receiver operating characteristic (ROC). In addition to extensive simulations, a real-world data example of a malfunctioning window regulator motor, for which the dominant frequencies show a modulating character that results in a non-stationary signal, is investigated. Both for simulated and real-world data, the proposed methods significantly outperform existing approaches.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6854244
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
frequency-domain analysis,impulse noise,sensitivity analysis,signal processing,statistical testing,stochastic processes,ROC,SST,frequency domain sphericity statistic test,impulsive noise,outliers,receiver operating characteris- tic,robust stationarity testing,signal processing applications,stochastic processes,window regulator motor,Ivies timator,KPSS,SST,hypothesis testing,robustness,stationarity
Frequency domain,Signal processing,Receiver operating characteristic,Statistic,Pattern recognition,Sphericity,Computer science,Stochastic process,Outlier,Artificial intelligence
Conference
ISSN
Citations 
PageRank 
1520-6149
1
0.39
References 
Authors
3
3
Name
Order
Citations
PageRank
Jack Dagdagan110.39
Michael Muma214419.51
Abdelhak M. Zoubir31036148.03