In the weighted overlap add (WOLA) method, we apply a second window after the inverse DFT. Such a window can be called a ``synthesis window'', ``post-window'', or simply ``output window,'' as opposed to the ``analysis window'', ``pre-window'', or ``input window'' we have been using up to now, prior to the FFT.
Synthesis windows are important in compression applications to minimize ``blocking effects,'' since spectral coding error is thereby ``faded out'' at the frame boundaries, preventing audible discontinuities.