图论测不准原理

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI:10.1109/SAMPTA.2015.7148912

J. Benedetto, Paul J. Koprowski

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引用次数: 17

摘要

对于同时作用于图域和频域的差分估计量，我们提出了一组具有紧界的图论不确定性原理。我们证明了一个修正图拉普拉斯算子的特征函数决定了不等式的上界和下界。

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Graph theoretic uncertainty principles

We develop a graph theoretic set of uncertainty principles with tight bounds for difference estimators acting simultaneously in the graph domain and the frequency domain. We show that the eigenfunctions of a modified graph Laplacian operator dictate the upper and lower bounds for the inequalities.

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2015 International Conference on Sampling Theory and Applications (SampTA)

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