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For greedy block sparse recovery where the sparsity level is unknown, wederive a stopping condition to stop the iteration process. Focused on the blockorthogonal matching pursuit (BOMP) algorithm, we model the energy of residualsignals at each iteration from a probabilistic perspective. At the iterationwhen the last supporting block is detected, the resulting energy of residualsignals is supposed to suffer an obvious decrease. Based on this, we stop theiteration process when the energy of residual signals is below a giventhreshold. Compared with other approaches, our derived condition works well forthe BOMP recovery. What is more, we promote our approach to the interferencecancellation based BOMP (ICBOMP) recovery in paper [1]. Simulation results showthat our derived condition can save many unnecessary iterations and at the sametime guarantees a favorable recovery accuracy, both for the BOMP and ICBOMPrecoveries.

Stopping Condition for Greedy Block Sparse Signal Recovery