Effective Non-Iterative Phase Retrieval of 2-D Bandlimited Signals with Applications to Antenna Characterization and Diagnostics

TL;DR

This paper introduces a non-iterative method for phase retrieval of 2-D bandlimited signals using a single data set, significantly reducing computational complexity and applicable to antenna diagnostics.

Contribution

It presents a novel non-iterative approach leveraging bandlimitedness and intersecting curves, improving efficiency over previous methods for phase retrieval from single measurements.

Findings

Reduced computational complexity compared to prior methods

Effective phase retrieval demonstrated on practical antenna data

Numerical results confirm theoretical advantages

Abstract

The Phase Retrieval problem is dealt with for the challenging case where just a single set of (phaseless) radiated field data is available. In particular, even still emulating the solution of crosswords puzzles, we provide decisive improvements over our recent approaches. In fact, by exploiting bandlimitedness and a suitable set of intersecting curves, we definitively lower the computational complexity (thus eliminating drawbacks) of our previous techniques. Numerical examples, concerning applications of actual interest, support the given theory and confirm the effectiveness of the developed procedure.