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arXiv · 2204.08576

On root frames in $\mathbb{R}^d$

Mostafa Maslouhi·Kasso A. Okoudjou
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Abstract

\emph{A root frame} for $\mathbb{R}^d$ is a finite frame whose vectors form a root system. In this note we establish some elementary properties of this class of frames and prove that root frames constitute a subclass of scalable frames. In addition, we show that root frames are examples of a larger class of frames called \emph{eigenframes}.

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Mostafa Maslouhi, Kasso A. Okoudjou. 2022-04-18. On root frames in $\mathbb{R}^d$. https://arxiv.org/abs/2204.08576

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