期刊
IEEE TRANSACTIONS ON SIGNAL PROCESSING
卷 63, 期 4, 页码 1030-1042出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2014.2386283
关键词
Atomic norm; basis mismatch; continuous-valued frequency recovery; sparsity
资金
- Ralph E. Powe Junior Faculty Enhancement Award from the Oak Ridge Associated Universities
This paper is concerned with estimation of two-dimensional (2-D) frequencies from partial time samples, which arises in many applications such as radar, inverse scattering, and super-resolution imaging. Suppose that the object under study is a mixture of r continuous-valued 2-D sinusoids. The goal is to identify all frequency components when we only have information about a random subset of n regularly spaced time samples. We demonstrate that under some mild spectral separation condition, it is possible to exactly recover all frequencies by solving an atomic norm minimization program, as long as the sample complexity exceeds the order of r log r log n. We then propose to solve the atomic norm minimization via a semidefinite program and provide numerical examples to justify its practical ability. Our work extends the framework proposed by Tang et al. for line spectrum estimation to 2-D frequency models.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据