Varying the time-frequency lattice of Gabor frames
Varying the time-frequency lattice of Gabor frames
A Gabor or Weyl-Heisenberg frame for $L^2(\mathbb {R}^d)$ is generated by time-frequency shifts of a square-integrable function, the Gabor atom, along a time-frequency lattice. The dual frame is again a Gabor frame, generated by the dual atom. In general, Gabor frames are not stable under a perturbation of the lattice …