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arXiv · 1609.08522

Phaseless super-resolution in the continuous domain

Myung Cho·Christos Thrampoulidis·Weiyu Xu·Babak Hassibi
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Abstract

Phaseless super-resolution refers to the problem of superresolving a signal from only its low-frequency Fourier magnitude measurements. In this paper, we consider the phaseless super-resolution problem of recovering a sum of sparse Dirac delta functions which can be located anywhere in the continuous time-domain. For such signals in the continuous domain, we propose a novel Semidefinite Programming (SDP) based signal recovery method to achieve the phaseless superresolution. This work extends the recent work of Jaganathan et al. [1], which considered phaseless super-resolution for discrete signals on the grid.

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Myung Cho, Christos Thrampoulidis, Weiyu Xu, Babak Hassibi. 2016-09-27. Phaseless super-resolution in the continuous domain. https://arxiv.org/abs/1609.08522

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