Nonparametric and Parametric Methods for Solar Oscillation Spectra
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Authors
Haley, Charlotte
Date
2014-09-27
Type
thesis
Language
eng
Keyword
Cosmic Rays , Level Crossings , Signal Detection and Estimation , Power Spectrum , Neutron Monitor , Solar Modes of Oscillation
Alternative Title
Abstract
The study of the systematic oscillations of the Sun has led to better understanding
of the Sun’s inner structure and dynamics, and may help to resolve inconsistencies
between observations and the standard solar model. Recent studies have concluded
that solar modal structure remains coherent past turbulence in the convection zone
and imprints its signatures on the solar wind and the interplanetary magnetic field
fluctuations, and these structures are coherent with atmospheric pressure variations,
terrestrial seismic oscillations, and data from communications systems. Time series
containing modal structure can be expected to contain several thousands of resolved
and unresolved line components in very short bands in frequency, and the measure-
ment of these modes pushes spectrum estimation methods for time series to its limit.
This thesis presents two theoretical contributions for modeling solar oscillations in
power spectra (i) expressions for the expected number and shape of significant spuri-
ous peaks in spectrum estimates are given, in the absence of modal structure, and a
permutation test for the identification of spectra containing pathological numbers of
modal components. (ii) A model for maximum likelihood estimation of the solar os-
cillation parameters in composite spectra is given. The scientific contributions of this
thesis are (a) identification of highly significant modal artifacts in solar wind mea-
surements as seen by the Advanced Composition Explorer (ACE) on the 2 − 3mHz
band and (b) quantification of the presence of modal structure in secondary cosmic
rays (specifically neutrons) on Earth.
Description
Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2014-09-25 19:20:15.225
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