Classifying Tight Weyl-Heisenberg Frames
Functional Analysis
2007-05-23 v1
Abstract
A Weyl-Heisenberg frame for L^2(R) is a frame consisting of translates and modulates of a fixed function. In this paper we give necessary and sufficient conditions for this family to form a tight WH-frame. This allows us to write down explicitly all functions g for which all translates and modulates of g form an orthonormal basis for L^2(R). There are a number of consequences of this classification, including a simple direct classification of the alternate dual frames to a WH-frame (A result originally due to Janssen).
Cite
@article{arxiv.math/9812159,
title = {Classifying Tight Weyl-Heisenberg Frames},
author = {Peter G. Casazza and Ole Christensen},
journal= {arXiv preprint arXiv:math/9812159},
year = {2007}
}
Comments
11 pages