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arXiv · 1603.02059

Graph theoretic uncertainty and feasibility

Paul J. Koprowski
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Abstract

We expand upon 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 and a modified normalized graph Laplacian operator dictate the upper and lower bounds for the inequalities. Finally, we establish the feasibility region of difference estimator values in $\mathbb{R}^2$.

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Paul J. Koprowski. 2016-02-18. Graph theoretic uncertainty and feasibility. https://arxiv.org/abs/1603.02059

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