By the way, when I read this discussion, I tried to compute the fft of the hanning window, on paper. I've had a little trouble. It's that usual law when you multiply in the time domain, you convolve in the frequency domain. I don't get why to use a Hanning window rather than a triangular window, for instance.
duh....figured that one out. I had the wrong formula for the hanning window....it's pretty obvious
hanning window, y(n)=.5-cos(2*pi*n/N)
so the fourier transform is Y(0)=.5 , Y(1) = -.5 , Y(2)=0 , Y(3)=0, etc...., Y(N-1)=-.5
unlike the triangular window, the hanning window has just three non-zero fourier coefficients. Don't know if that's important...
Chuck