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Full-Text Articles in Physical Sciences and Mathematics

Removal Of Nonconstant Daily Variation By Means Of Wavelet And Functional Data Analysis, I. Maslova, P. Kokoszka, Jan Josef Sojka, L. Zhu Jan 2009

Removal Of Nonconstant Daily Variation By Means Of Wavelet And Functional Data Analysis, I. Maslova, P. Kokoszka, Jan Josef Sojka, L. Zhu

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We propose a novel approach based on wavelet and functional principal component analysis to produce a cleaner index of the intensity of the symmetric ring current. We use functional canonical correlations to show that the new approach more effectively extracts symmetric global features. The main result of our work is the construction of a new index, which is an improved version of the existing wavelet-based index (WISA) and the old Dst index, in which a constant daily variation is removed. Here, we address the fact that the daily component varies from day to day and construct a “cleaner” index by …


Lisa Data Analysis: Doppler Demodulation, Neil J. Cornish, Shane L. Larson Jan 2003

Lisa Data Analysis: Doppler Demodulation, Neil J. Cornish, Shane L. Larson

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The orbital motion of the Laser Interferometer Space Antenna (LISA) produces amplitude, phaseand frequency modulation of a gravitational wave signal. The modulations have the effect of spreading a monochromatic gravitational wave signal across a range of frequencies. The modulations encode useful information about the source location and orientation, but they also have the deleteriousaffect of spreading a signal across a wide bandwidth, thereby reducing the strength of the signalrelative to the instrument noise. We describe a simple method for removing the dominant, Doppler,component of the signal modulation. The demodulation reassembles the power from a monochromatic source into a narrow spike, …