On the Search for Tight Frames of Low Coherence
On the Search for Tight Frames of Low Coherence
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DOI：
10.1007/s00041-020-09790-2
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发表时间：
2020-02
影响因子：
1.2
通讯作者：
Xuemei Chen;D. Hardin;E. Saff
中科院分区：
文献类型：
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作者：
Xuemei Chen;D. Hardin;E. Saff
我们引入了单位空间的射影Rieszs-核，并研究了这种核的n点能量最小化构型的性质。我们表明，对于不够大的情况，这些构型形成了分离良好(具有低相干性)且几乎紧密的框架。我们的结果给出了一种计算好分离紧框架的算法，并用数值例子进行了说明。
We introduce a projective Rieszs-kernel for the unit sphereand investigate properties ofN-point energy minimizing configurations for such a kernel. We show that these configurations, forsandNsufficiently large, form frames that are well-separated (have low coherence) and are nearly tight. Our results suggest an algorithm for computing well-separated tight frames which is illustrated with numerical examples.