Method of frequency dependent correlations: Investigating the variability of total solar irradiance

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
83 Downloads (Pure)


This paper contributes to the field of modeling and hindcasting of the total solar irradiance (TSI) based on different proxy data that extend further back in time than the TSI that is measured from satellites. We introduce a simple method to analyze persistent frequency-dependent correlations (FDCs) between the time series and use these correlations to hindcast missing historical TSI values. We try to avoid arbitrary choices of the free parameters of the model by computing them using an optimization procedure. The method can be regarded as a general tool for pairs of data sets, where correlating and anticorrelating components can be separated into non-overlapping regions in frequency domain. Our method is based on low-pass and band-pass filtering with a Gaussian transfer function combined with de-trending and computation of envelope curves. We find a major controversy between the historical proxies and satellite-measured targets: a large variance is detected between the low-frequency parts of targets, while the low-frequency proxy behavior of different measurement series is consistent with high precision. We also show that even though the rotational signal is not strongly manifested in the targets and proxies, it becomes clearly visible in FDC spectrum. The application of the new method to solar data allows us to obtain important insights into the different TSI modeling procedures and their capabilities for hindcasting based on the directly observed time intervals.
Original languageEnglish
Article numberA9
Pages (from-to)1-19
JournalAstronomy and Astrophysics
Early online date2016
Publication statusPublished - 1 Apr 2017
MoE publication typeA1 Journal article-refereed


  • Astrophysics - Solar and Stellar Astrophysics
  • Physics - Data Analysis
  • Statistics and Probability
  • Physics - Geophysics
  • Methods: statistical
  • Solar-terrestrial relations
  • Sun: activity
  • Sun: magnetic fields
  • Sunspots


Dive into the research topics of 'Method of frequency dependent correlations: Investigating the variability of total solar irradiance'. Together they form a unique fingerprint.

Cite this