Description

This investigation seeks to establish the practicality of numerical frame approximations. Specifically, it develops a new method to approximate the inverse frame operator and analyzes its convergence properties. It is

This investigation seeks to establish the practicality of numerical frame approximations. Specifically, it develops a new method to approximate the inverse frame operator and analyzes its convergence properties. It is established that sampling with well-localized frames improves both the accuracy of the numerical frame approximation as well as the robustness and efficiency of the (finite) frame operator inversion.

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Date Created
  • 2013-08-13
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  • Text
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    Identifier
    • Digital object identifier: 10.1016/j.acha.2012.08.002
    • Identifier Type
      International standard serial number
      Identifier Value
      1063-5203
    Note
    • “NOTICE: this is the author’s version of a work that was accepted for publication in Applied and Computational Harmonic Analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied and Computational Harmonic Analysis, 35(1), 94-110. doi:10.1016/j.acha.2012.08.002, opens in a new window

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    This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.

    Song, G., & Gelb, A. (2013). Approximating the inverse frame operator from localized frames. Applied and Computational Harmonic Analysis, 35(1), 94-110. doi:10.1016/j.acha.2012.08.002

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