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Properties of finite dual fusion frames
(Elsevier, 2014-07)
A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real ...
Optimal dual fusion frames for probabilistic erasures
(Int Linear Algebra Soc, 2017-06)
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 ...
Oblique Dual Fusion Frames
(Taylor & Francis, 2018-05)
We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in ...
Dual fusion frames
(Springer, 2014-10)
The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogue to the canonical dual frame. Here a new concept of dual is studied ...
Procrustes problems and Parseval quasi-dual frames
(Springer, 2014-06)
Parseval frames have particularly useful properties, and in some cases, they can be used to reconstruct signals which were analyzed by a non-Parseval frame. In this paper, we completely describe the degree to which such ...
Optimal dual frames and frame completions for majorization
(Academic Press Inc Elsevier Science, 2013-03)
In this paper we consider two problems in frame theory. On the one hand, given a set of vectors F we describe the spectral and geometrical structure of optimal completions of F by a finite family of vectors with prescribed ...
Critical pairs of sequences of a mixed frame potential
(Taylor & Francis, 2014-09)
The classical frame potential in a finite dimensional Hilbert space has been introduced by Benedetto and Fickus, who showed that all finite unit-norm tight frames can be characterized as the minimizers of this energy ...