منابع مشابه
Optimal dual fusion frames for probabilistic erasures
For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion ...
متن کاملFrames, Graphs and Erasures
Two-uniform frames and their use for the coding of vectors are the main subject of this paper. These frames are known to be optimal for handling up to two erasures, in the sense that they minimize the largest possible error when up to two frame coefficients are set to zero. Here, we consider various numerical measures for the reconstruction error associated with a frame when an arbitrary number...
متن کاملUniform Tight Frames with Erasures
Uniform tight frames have been shown to be useful for robust data trans mission The losses in the network are modeled as erasures of transmitted frame coe cients We give the rst systematic study of the general class of uniform tight frames and their properties We search for e cient con structions of such frames We show that the only uniform tight frames with the group structure and one or two g...
متن کاملOn dual shearlet frames
In This paper, we give a necessary condition for function in $L^2$ with its dual to generate a dual shearlet tight frame with respect to admissibility.
متن کاملDihedral Group Frames Which Are Maximally Robust to Erasures
Let n be a natural number larger than two. Let D2n = ⟨r, s ∶ r = s = e, srs = r⟩ be the Dihedral group, and κ an n-dimensional unitary representation of D2n acting in C as follows. (κ(r)v)(j) = v((j−1) mod n) and (κ(s)v)(j) = v((n − j) mod n) for v = (v0,⋯, vn−1) ∈ C. For any representation which is unitarily equivalent to κ, we prove that when n is prime there exists a Zariski open subset E of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2011
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.03.043