Classifying Tight Weyl-Heisenberg Frames

Preprint

30 December 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9812159

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).

Keywords

CLASSIFYING TIGHT
HEISENBERG FRAME
WEYL HEISENBERG
CLASSIFICATION
TIGHT WEYL

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Version 1, 1998-12-30, ArXiv

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