Abstract:
Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of original and perturbed fusion frame. It turns out that the duals are stable under these perturbations. © 2015 SPIE.
Registro:
Documento: |
Conferencia
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Título: | Perturbations of fusion frames and the effect on their canonical dual |
Autor: | Kutyniok, G.; Paternostro, V.; Philipp, F.; Goyal V.K.; Van De Ville D.; Van De Ville; Papadakis M.; Van De Ville D.; Papadakis M.; Goyal V.K.; Van De Ville |
Filiación: | Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, MA 5-4, Germany Universidad de Buenos Aires and IMAS-CONICET, Consejo Nacional de Investigaciones Cientícas y Técnicas, Buenos Aires, 1428, Argentina
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Palabras clave: | Canonical dual; Fusion frame; Perturbation; Canonical dual; Fusion frames; Measurement system; Perturbation; Real-world; Small perturbations; Optical engineering |
Año: | 2015
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Volumen: | 9597
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DOI: |
http://dx.doi.org/10.1117/12.2187063 |
Título revista: | Wavelets and Sparsity XVI
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Título revista abreviado: | Proc SPIE Int Soc Opt Eng
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ISSN: | 0277786X
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CODEN: | PSISD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v9597_n_p_Kutyniok |
Referencias:
- Christensen, O., An introduction to frames and Riesz bases (2003) Applied and Numerical Harmonic Analysis, , Birkhauser Boston, Inc., Boston, MA
- Casazza, P.G., Kutyniok, G., Frames of subspaces (2003) Wavelets Frames and Operator Theory, pp. 87-113. , College Park, MD, Contemp. Math. 345, Amer. Math. Soc., Providence, RI 2004
- Casazza, P.G., Kutyniok, G., (2012) Fusion Frames. Finite Frames: Theory and Applications, pp. 437-478. , Birkhäuser, Boston
- Casazza, P.G., Kutyniok, G., Li, S., Fusion frames and distributed processing (2008) Appl. Comput. Harmon. Anal., 25, pp. 114-132
- Gəvruta, P., On the duality of fusion frames (2007) J. Math. Anal. Appl., 333, pp. 871-879
- Heineken, S., Matusiak, E., Paternostro, V., Perturbed frame sequences: Canonical dual systems, approximate reconstructions and applications (2014) Int. J. Wavelets Multiresolut. Inf. Process., 12, pp. 14500191-145001919
- Heineken, S., Morillas, P.M., Properties of finite dual fusion frames (2014) Linear Algebra Appl., 453, pp. 1-27
- Heineken, S., Morillas, P.M., Benavente, A.M., Zakowicz, M.I., Dual fusion frames (2014) Arch. Math., 103, pp. 355-365A4 - The Society of Photo-Optical Instrumentation Engineers (SPIE)
Citas:
---------- APA ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, Papadakis M.,..., Van De Ville
(2015)
. Perturbations of fusion frames and the effect on their canonical dual. Wavelets and Sparsity XVI, 9597.
http://dx.doi.org/10.1117/12.2187063---------- CHICAGO ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al.
"Perturbations of fusion frames and the effect on their canonical dual"
. Wavelets and Sparsity XVI 9597
(2015).
http://dx.doi.org/10.1117/12.2187063---------- MLA ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al.
"Perturbations of fusion frames and the effect on their canonical dual"
. Wavelets and Sparsity XVI, vol. 9597, 2015.
http://dx.doi.org/10.1117/12.2187063---------- VANCOUVER ----------
Kutyniok, G., Paternostro, V., Philipp, F., Goyal V.K., Van De Ville D., Van De Ville, et al. Perturbations of fusion frames and the effect on their canonical dual. Proc SPIE Int Soc Opt Eng. 2015;9597.
http://dx.doi.org/10.1117/12.2187063