Pairs of explicitly given Gabor frames
given at strobl07 (21.06.07 15:15)
We provide a construction of explicitly given pairs of
Gabor frames. The window function and the dual window have compact support
and can be chosen with polynomial decay of any desired order in the Fourier domain. In particular, the window function
can be chosen as a B-spline, and the dual
window as a finite linear combination of translates hereof.