A residual error analysis based secure CS approach for malicious node attack

In this paper, a secure compressive sensing (CS) based localization approach is proposed to cope with the attacked measurements from the malicious node by the residual error analysis. First, the intermediate target positions are estimated by the CS recovery method and then the residual errors are calculated as the indicator to identify each measurement. Second, according to the proposed residual error deviation rule, the suspicious attacked measurements set are obtained. So, based on the proposed largest residual error rule, the final attacked measurements are determined from the suspicious attacked measurements. At last, the final target positions are estimated by the CS approach with the attack-free measurements once again. Extensive simulation results demonstrate that the proposed algorithm can outperform the existing algorithms under malicious node attack environments.