Relationship between windowed fourier transform and wavelet transform
Wavelets commonly factor the frequency of the basis vectors into their temporal widths, some with more than one temporal location.  Windowed FFTs fix the temporal width of each basis vector to the length of the FFT, thus independent of any bin frequency, and with the basis location fixed to the center of the FFT.

I suppose one could consider the FFT to be similar to a wavelet transform with a bad set of wavelets (too many high frequency ones and with poor temporal/locality resolution, and too few low ones and with poor frequency resolution).