Using ``square-root windows'' in the WOLA context, the valid hop sizes are identical to those for in the OLA case. More generally, given any window for use in a WOLA system, it is of interest to determine the hop sizes which yield perfect reconstruction.
Recall that, by the Poisson Summation Formula (PSF),
For WOLA, this is easily modified to become
where is the analysis window and is the synthesis window.
When , this becomes
Example COLA Windows for WOLA
PSF Dual and Graphical Equalizers