Distributed Compressed Sensing off the Grid

作者：Lu, Zhenqi^*; Ying, Rendong; Jiang, Sumxin; Liu, Peilin; Yu, Wenxian

来源：IEEE Signal Processing Letters, 2015, 22(1): 105-109.

DOI：10.1109/LSP.2014.2349904

• Atomic norm
• basis mismatch
• compressed sensing
• joint sparsity
• semidefinite program

This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the frequencies follow an off-the-grid formulation and are continuously valued in [0, 1]. As an extension of atomic norm, the concatenated atomic norm minimization approach is proposed to handle the exact recovery of signals, which is reformulated as a computationally tractable semidefinite program. The optimality of the proposed approach is characterized using a dual certificate. Numerical experiments are performed to illustrate the effectiveness of the proposed approach and its advantage over separate recovery.

• 出版日期2015-1
• 单位上海交通大学