Reconstruction of a windowed signal (specifically Hamming windowed)
did you ask this at comp.dsp?  appears so.  if you do what hotpaw says, your Hamming window will be 

$$ w(t) =
\begin{cases}
0.426 \cdot \cos(\pi t) + 0.5 &amp; \text{if }|t| &lt; 1 \\
0.037 &amp; \text{if }|t| = 1 \\
0 &amp; \text{if }|t| &gt; 1
\end{cases} $$

still a Hamming window, but it overlap-adds to 1 (with 50% overlap), rather than 1.08.