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  • 标题:Using Time Deformation to Filter Nonstationary Time Series with Multiple Time-Frequency Structures
  • 本地全文:下载
  • 作者:Mengyuan Xu ; Wayne A. Woodward ; Henry L. Gray
  • 期刊名称:Journal of Probability and Statistics
  • 印刷版ISSN:1687-952X
  • 电子版ISSN:1687-9538
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/569597
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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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