Abstract
Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In particular, atomic norm minimization was proposed in [1] to recover 1-dimensional spectrally sparse signal. However, in spite of existing research efforts [2], it was still an open problem how to formulate an equivalent positive semidefinite program for atomic norm minimization in recovering signals with d-dimensional (d ≥ 2) off-the-grid frequencies. In this paper, we settle this problem by proposing equivalent semidefinite programming formulations of atomic norm minimization to recover signals with d-dimensional (d ≥ 2) off-the-grid frequencies.
Original language | English (US) |
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DOIs | |
State | Published - 2014 |
Event | 2014 IEEE Information Theory and Applications Workshop, ITA 2014 - San Diego, CA, United States Duration: Feb 9 2014 → Feb 14 2014 |
Other
Other | 2014 IEEE Information Theory and Applications Workshop, ITA 2014 |
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Country/Territory | United States |
City | San Diego, CA |
Period | 2/9/14 → 2/14/14 |
All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Information Systems