Sparse signal recovery from modulo observations

EURASIP journal on advances in signal processing

article

Shah, Viraj¹  Hegde, Chinmay² 

[1] ECE Department, University of Illinois Urbana-Champaign;Tandon School of Engineering, New York University

关键词: Sparse recovery;    High dynamic range imaging;    Modulo sensing;   

DOI  :  10.1186/s13634-021-00722-w

来源: SpringerOpen

【 摘 要 】

We consider the problem of reconstructing a signal from under-determined modulo observations (or measurements). This observation model is inspired by a relatively new imaging mechanism called modulo imaging, which can be used to extend the dynamic range of imaging systems; variations of this model have also been studied under the category of phase unwrapping. Signal reconstruction in the under-determined regime with modulo observations is a challenging ill-posed problem, and existing reconstruction methods cannot be used directly. In this paper, we propose a novel approach to solving the signal recovery problem under sparsity constraints for the special case to modulo folding limited to two periods. We show that given a sufficient number of measurements, our algorithm perfectly recovers the underlying signal. We also provide experiments validating our approach on toy signal and image data and demonstrate its promising performance.

【 授权许可】

CC BY