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Significance testing for quasi-periodic pulsations in solar and stellar flares

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Pugh, Chloe E., Broomhall, Anne-Marie and Nakariakov, V. M. (Valery M.) (2017) Significance testing for quasi-periodic pulsations in solar and stellar flares. Astronomy & Astrophysics, 62 (A47). doi:10.1051/0004-6361/201730595 ISSN 0004-6361.

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Official URL: http://dx.doi.org/10.1051/0004-6361/201730595

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Abstract

The robust detection of quasi-periodic pulsations (QPPs) in solar and stellar flares has been the topic of recent debate. In light of this, we have adapted a method described by Vaughan (2005, A&A, 431, 391) to aid with the search for QPPs in flare time series data. The method identifies statistically significant periodic signals in power spectra, and properly accounts for red noise as well as the uncertainties associated with the data. We show how the method can be further developed to be used with rebinned power spectra, allowing us to detect QPPs whose signal is spread over more than one frequency bin. An advantage of these methods is that there is no need to detrend the data prior to creating the power spectrum. Examples are given where the methods have been applied to synthetic data, as well as real flare time series data with candidate QPPs from the Nobeyama Radioheliograph. These show that, despite the transient nature of QPPs, peaks corresponding to the QPPs can be seen at a significant level in the power spectrum without any form of detrending or other processing of the original time series data, providing the background trends are not too steep.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QB Astronomy
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Solar flares , Stellar oscillations , Oscillations
Journal or Publication Title: Astronomy & Astrophysics
Publisher: EDP Sciences
ISSN: 0004-6361
Official Date: 7 June 2017
Dates:
DateEvent
7 June 2017Published
20 March 2017Accepted
10 February 2017Submitted
Volume: 62
Number: A47
DOI: 10.1051/0004-6361/201730595
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 27 March 2017
Date of first compliant Open Access: 28 March 2017
Funder: European Research Council (ERC)
Grant number: 321141
Adapted As:

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