The interesting part of the windowing the FFT averaging computation with
certain functions (leading to the essentially FIR FFT possibly becoming IIR 
because of
the average filtering) is that at some point the combination of your signal with
the windowed FFT might approximate certain ideals.

For instance, maybe you can make oscillators which together with some form
of FFT + windowing/filtering reconstructs a whole lot better through the
standard (FIR or IIR) reconstruction filters build into every contemporary
DAC chip.

It's hard to oversee the exact computations and all the side effects regarding
harmonic distortion and transient accuracy though. And the further you get the 
it becomes an increasing number of detail considerations with more and more 
added value...


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