PROJECT TITLE :

Implementation of Discretized Gabor Frames and Their Duals

ABSTRACT:

The usefulness of Gabor frames depends on the straightforward computability of a suitable dual window. This question is addressed under many aspects. Many versions of Schulz’s iterative algorithm for the approximation of the canonical dual window are analyzed for their numerical stability. For Gabor frames with totally positive windows or with exponential B-splines, a direct algorithm yields a family of exact dual windows with compact support. It is shown that these twin windows converge exponentially quick to the canonical twin window.