Work

Sharp sufficient condition of block signal recovery via l 2 / l 1 ‐minimisation

Year: 2019

Type: article

Abstract: This work gains a sharp sufficient condition on the block restricted isometry property for the recovery of sparse signal and corresponding upper bound estimate of error. Under the certain assumption, the signal with block structure can be stably recovered in the presence of noisy case and the block sparse signal can be exactly reconstructed in the noise‐free case. Besides, an example is proposed to exhibit the condition is sharp. Numerical simulations are carried out to demonstrate that authors’ results are verifiable and l 2 / l 1 minimisation method is robust and stable for the recovery of block sparse signals.

Source: IET Signal Processing

DOI: 10.1049/iet-spr.2018.5037

Authors: Jianwen Huang, Jianjun Wang, Wendong Wang, Feng Zhang

Institution: Southwest University

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Signal Processing

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G1235772501, G4023435408, G5748635183, G7176449611, G912986070