I'd wanted to learn how to do a Fourier transform of a 1D array for a while and today I learned that there's a simple method for it. Here's an example of the output.
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SetBackgroundColor (r, g, b) If arg is false, exits batch mode and displays the active image in a window. ImageJ exits batch mode when the macro terminates if there is no setBatchMode (false) call. Note that a macro should not call setBatchMode (true) more than once.
ImageJ gained the ability in Sept 2014 as seen in this archive of the mailing list. There's an example of using the Array.fourier() function.
The function comes equipped with 4 winnowing options. I would recommend reading the white paper by National Instruments (just Google to find an alternative download). The Wikipedia article on Winnow functions explains in a bit more detail.