@Article{ATA-37-3, author = {Yueqi, Ge and Wengu, Chen and Huanmin, Ge and Yaling, Li}, title = {Weighted $\ell_p$-Minimization for Sparse Signal Recovery under Arbitrary Support Prior}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {289--310}, abstract = {

Weighted $\ell_p$ ($0<p\leq1$) minimization has been extensively studied as an effective way to reconstruct a sparse signal from compressively sampled measurements when some prior support information of the signal is available. In this paper, we consider the recovery guarantees of $k$-sparse signals via the weighted $\ell_p$ ($0<p\leq1$) minimization when arbitrarily many support priors are given. Our analysis enables an extension to existing works that assume only a single support prior is used.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.02}, url = {https://global-sci.com/article/73783/weighted-ell-p-minimization-for-sparse-signal-recovery-under-arbitrary-support-prior} }