Using Time Deformation to Filter Nonstationary Time Series with Multiple Time-Frequency Structures

Autor: Mengyuan Xu, Wayne A. Woodward, Henry L. Gray
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Journal of Probability and Statistics, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1687-952X
1687-9538
DOI: 10.1155/2013/569597
Popis: For nonstationary time series consisting of multiple time-varying frequency (TVF) components where the frequency of components overlaps in time, classical linear filters fail to extract components. The G-filter based on time deformation has been developed to extract components of multicomponent G-stationary processes. In this paper, we explore the wide application of the G-filter for filtering different types of nonstationary processes with multiple time-frequency structure. Simulation examples illustrate that the G-filter can be applied to filter a broad range of multicomponent nonstationary process where TVF components may in fact overlap in time.
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