@inproceedings{32bda47e9254488e8c02468116b74a9d,
title = "Compressive recovery of 2-D off-grid frequencies",
abstract = "Estimation of two-dimensional frequencies arises in many applications such as radar, inverse scattering, and wireless communications. In this paper, we consider retrieving continuous-valued two-dimensional frequencies in a mixture of r complex sinusoids from a random subset of its n regularly-spaced timedomain samples. We formulate an atomic norm minimization program that, with high probability, guarantees perfect recovery from O(r log r log n) samples under a mild frequency separation condition. We propose to solve the atomic norm minimization via semidefinite programming, and validate the proposed algorithm via numerical examples. Our work extends the framework proposed by Tang et. al. [1] for line spectrum estimation to multidimensional spectrum estimation.",
keywords = "atomic norm, basis mismatch, continuous-valued frequency recovery, nonparametric, sparsity",
author = "Yuejie Chi and Yuxin Chen",
year = "2013",
doi = "10.1109/ACSSC.2013.6810370",
language = "English (US)",
isbn = "9781479923908",
series = "Conference Record - Asilomar Conference on Signals, Systems and Computers",
publisher = "IEEE Computer Society",
pages = "687--691",
booktitle = "Conference Record of the 47th Asilomar Conference on Signals, Systems and Computers",
address = "United States",
note = "2013 47th Asilomar Conference on Signals, Systems and Computers ; Conference date: 03-11-2013 Through 06-11-2013",
}