Malicious anchor node detection and target node localization method based on recovery of sparse terms

A malicious anchor node detection and target node localization method based on recovery of sparse terms, comprising the following steps:

• S1:
• establishing an unknown disturbance term by using ranging value attack terms from an attacker to nodes in a wireless sensor network, and introducing a to-be-estimated location of a target node to the unknown disturbance term, to obtain an unknown sparse vector;
• S2:
• converting a problem of malicious anchor node detection and target node localization into a problem of recovery of the unknown sparse vector;
• S3:
• determining a location of an initial node according to a recursive weighted linear least square method, and recovering and reconstructing the unknown sparse vector with sparsity by using a self-adaptive gradient projection method;
• and
• S4:
• determining a malicious anchor node determination range by approximating a threshold using a recovered value of the unknown sparse vector, to implement malicious anchor node detection, and recovering and determining location information of the target node by using a non-sparse part reconstructed from an interference term.