Share Email Print

Proceedings Paper

When are frames close to equal-norm Parseval frames?
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

We derive lower and upper bounds for the distance between a frame and the set of equal-norm Parseval frames. The lower bound results from variational inequalities. The upper bound is obtained with a technique that uses a family of ordinary differential equations for Parseval frames which can be shown to converge to an equal-norm Parseval frame, if the number of vectors in a frame and the dimension of the Hilbert space they span are relatively prime, and if the initial frame consists of vectors having sufficiently nearly equal norms.

Paper Details

Date Published: 3 September 2009
PDF: 8 pages
Proc. SPIE 7446, Wavelets XIII, 744616 (3 September 2009); doi: 10.1117/12.825705
Show Author Affiliations
Bernhard G. Bodmann, Univ. of Houston (United States)
Peter G. Casazza, Univ. of Missouri, Columbia (United States)

Published in SPIE Proceedings Vol. 7446:
Wavelets XIII
Vivek K. Goyal; Manos Papadakis; Dimitri Van De Ville, Editor(s)

© SPIE. Terms of Use
Back to Top