Compressive phase retrieval of sparse bandlimited signals

TL;DR

This paper introduces a two-stage method enabling phase retrieval of sparse multiband signals from sub-Nyquist amplitude samples, involving modifications to modulators and an efficient recovery algorithm, applicable to various constructions.

Contribution

It presents a novel two-stage approach for phase retrieval in sub-Nyquist sampling schemes, including modulator modifications and a versatile, computationally efficient recovery algorithm.

Findings

Effective phase retrieval from sub-Nyquist amplitude samples.

Modifications to modulators enable signal recovery.

The method is adaptable to multiple constructions and algorithms.

Abstract

This contribution proposes a two stage strategy to allow for phase retrieval in state of the art sub-Nyquist sampling schemes for sparse multiband signals. The proposed strategy is based on data acquisition via modulated wideband converters known from sub-Nyquist sampling. This paper describes how the modulators have to be modified such that signal recovery from sub-Nyquist amplitude samples becomes possible and a corresponding recovery algorithm is given which is computational efficient. In addition, the proposed strategy is fairly general, allowing for several constructions and recovery algorithms.