A Physical Interpretation of Tight Frames

Peter G. Casazza, Matthew Fickus, Jelena Kovačević, Manuel T. Leon, Janet C. Tremain

Research output: Chapter in Book/Report/Conference proceedingChapter


We characterize the existence of finite tight frames whose frame elements are of predetermined length. In particular, we derive a “fundamental inequality” which completely characterizes those sequences which arise as the lengths of a tight frame’s elements. Furthermore, using concepts from classical physics, we show that this characterization has an intuitive physical interpretation.

Original languageEnglish (US)
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Number of pages26
StatePublished - 2006

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017


  • Dual Frame
  • Frame Operator
  • Orthogonal Complement
  • Potential Energy Function
  • Tight Frame

ASJC Scopus subject areas

  • Applied Mathematics


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