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有限维Hilbert空间中框架的最大鲁棒性擦除
Maximal robustness to erasures in finite-dimensional Hilbert Spaces

DOI: 10.7631/issn.1000-2243.2015.03.0293

Keywords: Hilbert 空间 最大鲁棒性擦除 等模框架 实紧框架
Hilbert spaces maximal robustness to erasures equal norm tight frame real tight frame

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Abstract:

对有限维Hilbert空间中的一些特殊框架进行讨论,即通过对特殊复框架右乘一个酉矩阵,从而构造出Hn的最大鲁棒性擦除的等模、实紧框架. 最后给出相应的结论并进行证明.
In this paper,we mainly discussed some special frames in finite-dimensional Hilbert spaces,namely,we construct real,equal tight frames with maximum robustness to erasures for Hn from complex frames by multiplying a unitary matrix. Finally,we give the corresponding conclusions and also prove them

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