Stella Offner edited subsubsection_Bispectrum_Bicoherence_SSRO_no__.tex  over 8 years ago

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\subsubsection{Bispectrum/Bicoherence}  %SSRO no capital on bispectrum; note Fourier is a name, hence the capitalization.  The bispectrum measures both the magnitude and phase correlation between Fourier signals. This gives it a distinct advantage over two-point correlation methods such as VCA and VCS, which do not preserve phase information. Consequently, the bispectrum is useful to quantify nonlinear wave-wave interactions, which may be prevalent in turbulent magnetized gas \citep{burkhart2009}. \citep{burkhart09}.  The bispectrum is obtained by computing the Fourier transform of the three-point correlation function. In our analysis, we use the bispectrum to calculate the bicoherence, a real-valued, normalized equivalent. (Explain why this is more efficient? Eric discuss why in his paper). %SSRO Yes, will need more elaboration. We also need comparison to past literature on this topic - I'll add it.  Following the analysis of Koch et al. (2015), we generate sets of randomly sampled spatial frequencies that are sampled up to half of the image size (i.e., 127 pixels). %SSRO or do you mean 2.5pc (or the equivalent half size in ''?