Title :
On optimal frame conditioners
Author :
Clark, Chae A. ; Okoudjou, Kasso A.
Author_Institution :
Dept. of Math., Univ. of Maryland, College Park, MD, USA
Abstract :
A (unit norm) frame is scalable if its vectors can be rescaled so as to result into a tight frame. Tight frames can be considered optimally conditioned because the condition number of their frame operators is unity. In this paper we reformulate the scalability problem as a convex optimization question. In particular, we present examples of various formulations of the problem along with numerical results obtained by using our methods on randomly generated frames.
Keywords :
optimisation; signal processing; convex optimization; frame operators; optimal frame conditioners; scalability problem; signal processing; unit norm frame; Convex functions; Linear programming; Linear systems; Mathematical programming; Scalability; Testing;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148869
