@inbook{604f2e9d7959475f8dbd1adca7289139,
title = "A Physical Interpretation of Tight Frames",
abstract = "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{\textquoteright}s elements. Furthermore, using concepts from classical physics, we show that this characterization has an intuitive physical interpretation.",
keywords = "Dual Frame, Frame Operator, Orthogonal Complement, Potential Energy Function, Tight Frame",
author = "Casazza, {Peter G.} and Matthew Fickus and Jelena Kova{\v c}evi{\'c} and Leon, {Manuel T.} and Tremain, {Janet C.}",
note = "Funding Information: We would like to thank Mrs. D. Girard for invaluable technical support and Dr. J. Kaufling for her assistance in the tracing experiment. We are grateful to Dr. C. Herry and his lab members for their pertinent comments and suggestions. We thank Mr. R. Cooke, Dr. L. Lad{\'e}p{\^e}che, and Dr. E. Bezard for their editorial support. This work was supported by grants from Centre National de la Recherche Scientifique (CNRS), University of Bordeaux, Agence Nationale de la Recherche (ANR-12-BSV4-0022 to F.G. and M.M.); by LABEX BRAIN ANR-10-LABX-43 and Region Aquitaine to F.G.; and Atip-Avenir, the City of Paris, and ERC StG 335333 SalienSy to M.M. Publisher Copyright: {\textcopyright} 2006, Birkh{\"a}user Boston.",
year = "2006",
doi = "10.1007/0-8176-4504-7_4",
language = "English (US)",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Springer International Publishing",
number = "9780817637781",
pages = "51--76",
booktitle = "Applied and Numerical Harmonic Analysis",
edition = "9780817637781",
}