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arXiv · 2408.02007

Frame Scaling by Graphs

Ayyanar K·P. Sam Johnson·A. Senthil Thilak
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Abstract

In this paper, we investigate the scalability of a given frame in $\mathbb{R}^n$ by using graphs. For each frame $\phi$ in $\mathbb{R}^n$, we associate a simple undirected graph $G(\phi)$ and use it to verify the scalability of $\phi$. We provide some necessary conditions to test the scalability of a given frame. Finally, we study the scalability of some special classes of frames by using graphs.

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Ayyanar K, P. Sam Johnson, A. Senthil Thilak. 2024-08-04. Frame Scaling by Graphs. https://arxiv.org/abs/2408.02007

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