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Original scientific paper
https://doi.org/10.3336/gm.52.1.10

Dual frames compensating for erasures

Ljiljana Arambašić ; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
Damir Bakić ; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia

Fulltext: english, pdf (161 KB) pages 131-146 downloads: 295* cite
APA 6th Edition
Arambašić, Lj. & Bakić, D. (2017). Dual frames compensating for erasures. Glasnik matematički, 52 (1), 131-146. https://doi.org/10.3336/gm.52.1.10
MLA 8th Edition
Arambašić, Ljiljana and Damir Bakić. "Dual frames compensating for erasures." Glasnik matematički, vol. 52, no. 1, 2017, pp. 131-146. https://doi.org/10.3336/gm.52.1.10. Accessed 15 Aug. 2020.
Chicago 17th Edition
Arambašić, Ljiljana and Damir Bakić. "Dual frames compensating for erasures." Glasnik matematički 52, no. 1 (2017): 131-146. https://doi.org/10.3336/gm.52.1.10
Harvard
Arambašić, Lj., and Bakić, D. (2017). 'Dual frames compensating for erasures', Glasnik matematički, 52(1), pp. 131-146. https://doi.org/10.3336/gm.52.1.10
Vancouver
Arambašić Lj, Bakić D. Dual frames compensating for erasures. Glasnik matematički [Internet]. 2017 [cited 2020 August 15];52(1):131-146. https://doi.org/10.3336/gm.52.1.10
IEEE
Lj. Arambašić and D. Bakić, "Dual frames compensating for erasures", Glasnik matematički, vol.52, no. 1, pp. 131-146, 2017. [Online]. https://doi.org/10.3336/gm.52.1.10

Abstracts
We discuss the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients could be corrupted or erased during the data transmission. Provided that the erasure set satisfies the minimal redundancy condition, we construct a suitable synthesizing dual frame which enables us to perfectly reconstruct the original signal without recovering the lost coefficients. Such dual frames which compensate for erasures are described from various viewpoints.

Keywords
Frame; dual frame; erasure

Hrčak ID: 183128

URI
https://hrcak.srce.hr/183128

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