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Damien Irving edited methods.tex
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\section{Methodology}
Most Many existing climatologies of Rossby wave activity
tend to focus on zonally propagating waves,
with whereby the
wave identification method simply applies a Fourier transform
applied along adjacent lines of constant latitude
\citep[e.g.][]{IrvingSimmonds2015,Glatt2014}. \citep[e.g.][]{Glatt2014,IrvingSimmonds2015}. More sophisticated methods have been developed for tracking non-zonally propagating synoptic-scale Rossby wave packets \citep[e.g.][]{Zimin2006,Souders2014}, however such sophistication was not needed in devising a method for objectively identifying the PSA pattern. Instead, it was possible to make use of the fact that the pattern traces an approximate great circle path. By rotating the global coordinate system such that the equator (itself a great circle path) traces the approximate path of the PSA pattern, our identification algorithm could simply apply a Fourier transform along the equator in the new zonal direction. The algorithm is described in detail below, along with the other more general data analysis techniques used in the study.
For the new approach, we rotate coordinate system such that we can search along a great circle path (i.e. the equator in the rotated world). At each data time, we then search the rotated meridional wind anomaly data along the new equator after isolating the relevant domain. Details of the Fourier transform for that data time were then used to determine whether or not there was an active PSA pattern and what the phase and amplitude of that pattern were. \subsection{Identification algorithm}