Classifying Tight Weyl-Heisenberg Frames

Details Classifying Tight Weyl-Heisenberg Frames Classifying Tight Weyl-Heisenberg Frames

1998-12-30

arxiv.org/abs/math/9812159v1

Mathematics

Functional Analysis

11 pages

Scientific paper

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).

Affiliated with

Also associated with

No associations

Rating

Classifying Tight Weyl-Heisenberg Frames does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classifying Tight Weyl-Heisenberg Frames, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classifying Tight Weyl-Heisenberg Frames will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725938