A potential problem with extended EOF analysis of standing wave fields

Adam H. Monahan, Fredolin Tangang @ Tajudin Mahmud, William W. Hsieh

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The extended empirical orthogonal function (EEOF) analysis of signals containing a standing wave component is considered. It is shown using a simple analytical model that for a single time-lag EEOF analysis, two EEOF patterns describe the standing wave, and that their associated eigenvalues become degenerate if the lag chosen is close to a zero of the sample autocovariance function of the standing wave time series. This degeneracy strongly affects the relative magnitudes of the two sectors of each EEOF pattern and the structure of the associated spatial pattern. A set of EEOF analysis of varying lags is performed on a tropical Pacific sea level pressure (SLP) dataset, known to be dominated by standing variance, and the predictions of the analytical model are verified. As well, it is seen that at degeneracy there is a reduction in the quality of the spatial patterns produced by the EEOF analysis.

Original languageEnglish
Pages (from-to)241-254
Number of pages14
JournalAtmosphere - Ocean
Volume37
Issue number3
Publication statusPublished - Sep 1999
Externally publishedYes

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standing wave
wave field
eigenvalue
sea level pressure
empirical orthogonal function analysis
time series
prediction

ASJC Scopus subject areas

  • Atmospheric Science
  • Oceanography

Cite this

A potential problem with extended EOF analysis of standing wave fields. / Monahan, Adam H.; Tangang @ Tajudin Mahmud, Fredolin; Hsieh, William W.

In: Atmosphere - Ocean, Vol. 37, No. 3, 09.1999, p. 241-254.

Research output: Contribution to journalArticle

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