Performance analysis of the encryption method based on compressed sensing at the physical layer

The simple structure of compressed sensing (CS) lead to low complexity encryption, which is fascinating for nodes with limited resources in the wireless network. In this paper, we analyze the performance of the encryption method based on compressed sensing, and prove that the encryption can achieve the information theory security. The effect of the sparsity and the signal noise ratio (SNR) on the encryption method are explored. The security and robustness of the encryption method are analyzed by a passive eavesdropper and an active attacker. Under the Rayleigh fading channels, simulation results show that the security performance of the encryption increases as the sparsity decreases, and the SNR increases. In addition, the encryption approach is valid in preventing access from an active attacker based on the computation attack, which is consistent with the theory analysis.