Block sparse signal recovery via minimizing the block q-ratio sparsity

03/12/2021

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by   Zhiyong Zhou, et al.

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In this paper, we propose a method for block sparse signal recovery that minimizes the block q-ratio sparsity (‖ z‖_2,1/‖ z‖_2,q)^q/q-1 with q∈[0,∞]. For the case of 1<q≤∞, we present the theoretical analyses and the computing algorithms for both cases of the ℓ_2-bounded and ℓ_2,∞-bounded noises. The corresponding unconstrained model is also investigated. Its superior performance in block sparse signal reconstruction is demonstrated by numerical experiments.