Norm retrieval from few spatio-temporal samples

Vectors in a real finite-dimensional Hilbert space that accomplish phase and norm retrieval can be characterized. In this article, we consider the cases where an operator A is self adjoint, normal or an operator in Jordan canonical form in a real finite-dimensional Hilbert space. In each case, we give a structure to construct norm-retrievable frame sets that have a dynamical sampling structure. Given that phase retrieval always implies norm retrieval, we particularly concentrate on finding conditions for norm retrieval where phase retrieval is not possible. (c) 2022 Elsevier Inc. All rights reserved.