Strong COLA
An overly strong (but sufficient) condition is to require that
the window transform
be bandlimited consistent with
downsampling by
:

This condition is sufficient, but not necessary, for perfect OLA reconstruction. Strong COLA implies weak COLA, but it cannot be achieved exactly by finite-duration window functions.
When either of the strong or weak COLA conditions are met, we have
![]() |
(9.34) |
That is, the overlap-add of the window



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Choice of WOLA Window
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Example 2: Time Domain Aliasing