Abstract:
In this paper 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 are able to accurately detect the solar equatorial rotation frequency of the Sun, and its harmonics, from data recorded by Ulysses ' 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. Some key words: Complex-valued weighted least squares; Multitapering; Solar rotation; Spectral lines; Ulysses spacecraft.
Citations
|
171
|
The Theory of Stochastic Processes
– Cox, Miller
- 1965
|
|
78
|
Spectrum estimation and harmonic analysis
– Thomson
- 1982
|
|
53
|
Spectrum analysis - a modern perspective
– Kay, SJ
- 1981
|
|
44
|
Spectral analysis for physical applications
– Percival, Walden
- 2002
|
|
8
|
Time series analysis of Holocene climate data
– Thomson
- 1990
|
|
6
|
Propagation of solar oscillations through the interplanetary medium
– Thomson, Maclennan, et al.
- 1995
|
|
3
|
Over the southern solar pole: low-energy interplanetary charged particles
– Lanzerotti, Armstrong, et al.
- 1995
|
|
3
|
Multiple-taper spectral analysis of terrestial free oscillations: part II
– Lindberg, Park
- 1987
|
|
2
|
The Heliospheric Magnetic Field
– Balogh
- 1996
|
|
2
|
Calculating Thomson's spectral multitapers by inverse iteration
– Bell, Percival
- 1993
|
|
2
|
The high latitude heliospheric magnetic field
– Forsyth
- 1995
|
|
2
|
Sonett� Interplanetary observations of solar g�mode oscillations�� Geophys
– Riley�, P
- 1996
|
|
1
|
Rotation of the photospheric magnetic field
– Antonucci, Hoeksema, et al.
- 1990
|
|
1
|
The solar dynamo: observations and theories of solar convection, global circulation, and magnetic fields
– Gilman
- 1986
|
|
1
|
Ulysses at high heliographic latitudes: an introduction
– Marsden, Smith, et al.
- 1996
|
|
1
|
The solar differential rotation: present status of observations
– Schroeter
- 1985
|
|
1
|
Magnetic rotation of the solar photosphere
– Snodgrass
- 1983
|
|
1
|
Recurrences of interplanetary interaction regions at southern solar latitudes and approximate harmonics
– Thomson, Maclennan, et al.
- 1997
|
|
