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Multitaper testing of spectral lines and the detection of the solar rotation frequency and its harmonics

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We develop statistical testing methodology for closely spaced spectral lines based on multitaper spectrum estimates and apply it to a time series of solar magnetic field magnitude data recorded by the Ulysses spacecraft. The test is formulated through complex-valued weighted least squares. Using this test in combination with the test for well-separated lines, we can accurately detect the solar equatorial rotation frequency of the sun, and its harmonics, from data recorded by Ulysses's magnetometer at solar mid-latitudes; this is a potentially important result for solar physicists, since it has implications for the structure and dynamics of magnetic fields in the solar corona.

Keywords: Complex-valued weighted least squares; Multitapering; Solar rotation; Spectral lines; Ulysses spacecraft

Document Type: Original Article


Affiliations: Imperial College of Science, Technology and Medicine, London, UK

Publication date: January 1, 1999

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