On spectrally optimal duals of frames generated by graphs
| Autor: | Deepshikha, Samanta, Aniruddha |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Recently, the concept of frames generated by graphs has been introduced in \cite{D}. In this paper, we study spectrally optimal dual frames of frames generated by graphs. We show that if the frame is generated by a connected graph, then its canonical dual frame is the unique spectrally optimal dual frame for $1$-erasure and $2$-erasures. Further, we show that the canonical dual frames of frames generated by disconnected graphs are non-unique spectrally optimal dual frames for $1$-erasure and $2$-erasures. Comment: 21 pages, 1 figure. arXiv admin note: text overlap with arXiv:2405.18189. arXiv admin note: text overlap with arXiv:2405.18189 |
| Databáze: | arXiv |
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