Work

A Recursive Solution of the Discrete Phase Retrieval Problem for Fourier Measurements

Year: 2025

Type: article

Abstract: ABSTRACT In this work, we present a recursive solution of the discrete phase retrieval problem for Fourier measurements. We show that a solution of this problem may be obtained, if we are able to compute a rank one pre‐image of a certain low‐rank Hermitian matrix, under a known linear operator. Based on this observation, we construct a nonlinear recursive sequence of low‐rank Hermitian matrices, and we prove that under certain conditions, there exists a subsequence tending to a solution.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70324

Author: Nikolaos Atreas

Institution: Aristotle University of Thessaloniki

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $5,000

OpenAlex ID: W4416302882

FWCI:

Cites: 10

Cited by:

Related to: