Optimal dual frames for erasures
Abbreviated Journal Title
Linear Alg. Appl.
Frames; Erasures; Optimal dual frames; REPRESENTATIONS; GABOR; Mathematics, Applied; Mathematics
For any given frame (for the purpose of encoding) in a finite dimensional Hilbert space, we investigate its dual frames that are optimal for erasures (for the purpose of decoding). We show that in general the canonical dual is not necessarily optimal. Moreover, optimal dual frames are not necessarily unique. We present some sufficient conditions under which the canonical dual is the unique optimal dual frame for the erasure problem. As an application, we get that the canonical dual is the only optimal dual when either the frame is induced by a group representation or the frame is uniform tight. (C) 2009 Elsevier Inc. All rights reserved.
Linear Algebra and Its Applications
"Optimal dual frames for erasures" (2010). Faculty Bibliography 2010s. 461.