Linear Phase Retrieval for Near-Field Measurements with Locally Known Phase Relations

TL;DR

This paper introduces a linear, convex phase retrieval algorithm for near-field measurements that leverages locally known phase relations, ensuring reliable, minimum-measurement transformations without local minima issues.

Contribution

The paper presents a novel linear phase retrieval method that exploits local phase relations, improving reliability and reducing measurement requirements in near-field transformations.

Findings

Achieves reliable phase retrieval avoiding local minima

Requires measurement numbers close to fully-coherent methods

Demonstrates high accuracy on synthetic data

Abstract

A linear and thus convex phase retrieval algorithm for the application in phaseless near-field far-field transformations is presented. The formulation exploits locally known phase relations among sets of measurement samples, which can in practice be acquired with multi-channel receivers. Due to the linearity of the formulation, a reliable phaseless transformation is achieved, which completely avoids the problem of local minima - the Achilles heel of most existing phase retrieval techniques. Furthermore, the necessary number of measurements are kept close to that of fully-coherent antenna measurements. Comparisons with an already existing approach exploiting local phase relations demonstrate the accuracy and reliability for synthetic data.