# Is there a “first” Fourier transform?

Every time I've read "first Fourier transform", I've assumed it to be a misspelling of the fast Fourier transform. Recently though, I saw the term in both the title and keywords of an article from a seemingly serious, albeit not peer-reviewed, journal, Japanese Circulation Journal.

Development of a new analytical method for the electrocardiogram using short-time first Fourier transforms doesn't cite any resource or explain the algorithm. (fulltext PDF)

Is there a "first" Fourier transform?

• The article refers to fast Fourier transforms in the text (see Figure 3, for instance). So I assume this too is a mistake. Brings back fond memories of my first Fourier transform, written in Basic, and not fast. – mtrw Dec 19 '11 at 13:58
• @mtrw: That figure text is the only mention of the fast FT (except for one reference), while the "first" FT is mentioned twice. – user42 Dec 19 '11 at 14:01