Optimal dual fusion frames for probabilistic erasures
نویسندگان
چکیده
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 کاملRobustness of Fusion Frames under Erasures of Subspaces and of Local Frame Vectors
Fusion frames were recently introduced to model applications under distributed processing requirements. In this paper we study the behavior of fusion frames under erasures of subspaces and of local frame vectors. We derive results on sufficient conditions for a fusion frame to be robust to such erasures as well as results on the design of fusion frames which are optimally robust in the sense of...
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 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: The Electronic Journal of Linear Algebra
سال: 2017
ISSN: 1081-3810
DOI: 10.13001/1081-3810.3267