Weak phase retrieval by vectors in $\mathbb{R}^3$ and $\mathbb{R}^4$

Author(s):

Fateh Akrami * , Asghar Rahimi , Bayaz Daraby , MohammadAli Hasankhani Fard

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

and $\mathbb{R}^4$. We will classify weak phase retrievable frames in $\mathbb{R}^3$ and we will show that there are not any weak phase retrievable frames in $\mathbb{R}^3$ containing any multiple of standard basis vectors. We provide numerous examples to show that our results are the best possible.

Keywords:

Real Hilbert frames , Full spark frame , Phase retrieval , Weak phase retrieval , Norm retrieval

Language:
Persian
Published:
Wavelets and Linear Algebra, Volume:9 Issue: 2, Autumn and Winter 2022
Pages:
127 to 151
https://www.magiran.com/p2543351