Recovery analysis for weighted mixed ℓ_2/ℓ_p minimization with 0<p≤ 1 [article]

Zhiyong Zhou, Jun Yu
2017 arXiv   pre-print
We study the recovery conditions of weighted mixed ℓ_2/ℓ_p (0<p≤ 1) minimization for block sparse signal reconstruction from compressed measurements when partial block support information is available. We show that the block p-restricted isometry property (RIP) can ensure the robust recovery. Moreover, we present the sufficient and necessary condition for the recovery by using weighted block p-null space property. The relationship between the block p-RIP and the weighted block p-null space
more » ... rty has been established. Finally, we illustrate our results with a series of numerical experiments.
arXiv:1709.00257v2 fatcat:yfsuo5uuvbg4rk7b6rywejiekm