Classifying tight Weyl-Heisenberg frames

P. Cazsazza, A. J. E. M. Janssen, Ole Christensen

    Research output: Contribution to journalJournal articleResearch

    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).
    Original languageEnglish
    JournalUnknown title
    Pages (from-to)1-22
    Publication statusPublished - 1999

    Cite this

    Cazsazza, P., Janssen, A. J. E. M., & Christensen, O. (1999). Classifying tight Weyl-Heisenberg frames. Unknown title, 1-22.