Postseismic Deformation Following the 1994 Northridge Earthquake Identified Using the Localized Hartley Transform Filter |
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Authors: | K F Tiampo Dawit Assefa J Fernández L Mansinha H Rasmussen |
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Institution: | (1) Department of Earth Sciences, University of Western Ontario, N6A 5B7 London, Canada;(2) Radiation Physics Department, Radiation Medicine Program, Princess Margaret Hospital, M5G 2M9 Toronto, Canada;(3) Institutio de Astronomía y Geodesia (CSIC-UCM), Facultad de CC. Matemáticas, Ciudad Universitaria, Madrid, Spain;(4) Department of Applied Mathematics, The University of Western Ontario, N6A 5B7 London, Canada |
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Abstract: | Here we present a new mathematical tool, the localized Hartley (HL) transform (Hartley, 1942; Bracewell, 1990), that allows for the filtering of 1-D time series through the identification of the power at various spatial and temporal
wavelengths. Its application to and the associated results are presented from its application to continuous Global Positioning
System (GPS) data from southern California for the time period 1994 through 2006. The HL transform filter removes the high-frequency
components of the data and effectively isolates the longer period signal. This long-period signal is modeled as time-dependent
postseismic deformation using the viscoelastic-gravitational model of Fernández and Rundle (2004) for six stations selected for their proximity to the Northridge earthquake. The x-, y-, and z-components of the postseismic
deformation are compared to the filtered data. Results suggest that this long-period deformation is a result of postseismic
relaxation and that the HL transform filter provides an important new technique for the filtering of geophysical data consisting
of the superposition of the effects of numerous complex sources at a variety of spatial and temporal scales. |
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Keywords: | Hartley transform GPS time series analysis spatio-temporal filtering postseismic deformation Northridge earthquake |
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