Norm retrieval in dynamical sampling form

Abstract

In this article, we study the construction of norm retrievable frames that have a dynamical sampling structure. For a closed subspace $W$ of $R^n$, we show that when the collection of subspaces $\{A^\ell W\}_{i \in I}$ is norm retrievable in $R^n$ for a unitary or Jordan operator $A$, then there always exists a collection of norm retrievable frame vectors that have a dynamical sampling structure in $R^n$.

Keywords

• Frame vectors
• phase retrieval
• norm retrieval
• dynamical sampling

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