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

Mengyuan Xu | Zendy; Wayne A. Woodward | Zendy; H. L. Gray | Zendy

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

Author(s) -

Mengyuan Xu,

Wayne A. Woodward,

H. L. Gray

Publication year - 2013

Publication title -

journal of probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 1687-9538

pISSN - 1687-952X

DOI - 10.1155/2013/569597

Subject(s) - filter (signal processing) , series (stratigraphy) , time–frequency analysis , mathematics , range (aeronautics) , process (computing) , algorithm , filter design , control theory (sociology) , computer science , artificial intelligence , engineering , paleontology , control (management) , computer vision , biology , aerospace engineering , operating system

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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