Results 11 to 20 of about 190,901 (260)
Sahand Communications in Mathematical AnalysisIn this papaer, we introduce fuzzy fusion frame and express related operators. Also, we explain some properties of fuzzy fusion frame and fusion fuzzy Bessel family, and we bring the representive of fuzzy fusion frame, the fuzzy Parseval fusion frame.
Bayaz Daraby, Vahid Ebrahimi
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Construction of continuous $g$-frames and continuous fusion frames [PDF]
Sahand Communications in Mathematical Analysis, 2016 A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of
Mahdiyeh Khayyami, Akbar Nazari
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Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Journal of Fourier Analysis and Applications, 2023 Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on understanding the global structure of collections of finite frames with prescribed properties, such as spaces of unit norm tight frames.
Tom Needham, Clayton Shonkwiler
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Archiv der Mathematik, 2014 The definition of dual fusion frame presents technical problems related to the domain of the synthesis operator. The notion commonly used is the analogous to the canonical dual frame. Here a new concept of dual is studied in infinite-dimensional separable Hilbert spaces. It extends the commonly used notion and overcomes these technical difficulties. We
Heineken, Sigrid Bettina +3 more
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Non-orthogonal Fusion Frames and the Sparsity of Fusion Frame Operators [PDF]
Journal of Fourier Analysis and Applications, 2011 Fusion frames have become a major tool in the implementation of distributed systems. The effectiveness of fusion frame applications in distributed systems is reflected in the efficiency of the end fusion process. This in turn is reflected in the efficiency of the inversion of the fusion frame operator $S_{\cW}$, which in turn is heavily dependent on ...
Cahill, Jameson +2 more
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Perturbations on K-fusion frames [PDF]
Journal of Applied Analysis, 2021 Abstract Fusion frames are widely studied for their applications in recovering signals from large data. These are proved to be very useful in many areas, for example, wireless sensor networks. In this paper, we discuss a generalization of fusion frames, K-fusion frames.
Animesh Bhandari, Saikat Mukherjee
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Filter Bank Fusion Frames [PDF]
IEEE Transactions on Signal Processing, 2011 In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion frames can provide redundant encodings of signals which are optimally robust against certain types of
Chebira, Amina +2 more
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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
Проблемы анализа, 2020 G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
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Journal of Mathematical Analysis and Applications, 2008 The authors study generalized, i.e., \(g\)-frames in a Hilbert space \(U\), that is, sequences \((\Lambda_i)_{i\in I}\) of linear operators \(\Lambda_i:U\to V_i\) such that \[ A\| f\| ^2 \leq \sum_{i\in I} \| \Lambda_i f\| ^2 \leq B \| f\| ^2, \] for some positive constants \(A\) and \(B\).
Khosravi, Amir, Musazadeh, Kamran
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On the duality of frames and fusion frames
Hacettepe Journal of Mathematics and Statistics, 2017 Optimal frame bounds play a key role in many applications of frame theory, such as filter banks. In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames. Also, we survey some problems on duals of fusion frames.
AREFİJAMAAL, Ali Akbar +2 more
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