Properties of certain multi-angle tight frames in \(\mathbb{R}^d\) (Q2154290)

Frames and angles between elements of frames are studied by the authors in the present paper. Precisely, for a given dimension \(d\), the authors considered frames with the number of different angles between elements to be less than \(d+1\). Some results regarding extraction of new frames from these frames with fewer or the same number of different angles are obtained. The authors also discussed multiplicities of angles. 3-angled tight frames are connected with regular graphs and a result in this direction is obtained.