Physical Layer Security Transmission Condition for Finite Alphabet Input System

Addressing the problem that the artificial noise method can be cracked by the eavesdropper with multiple antennas in wireless communication systems, a sufficient condition is proposed for secure physical layer transmission with finite alphabet inputs. Under this guideline, a signal-like artificial noise method is designed to ensure the system security transmission. Analysis reveals that the equivalent channel between the finite alphabet input and the eavesdroppers noise-free output is a Discrete Noisy Lossless Channel (DNLC). Since the reversibility of the input under a DNLC provides the necessary condition for eavesdropping, the eavesdropper can augment its antennas to successfully squeeze out the secure information, nullifying the systems secrecy mutual information. As a result, destroying the reversibility of the input signal becomes a sufficient condition for the secure physical layer transmission with finite alphabet inputs. The signal-like artificial noise method satisfies the sufficient condition, which can ensure the secure physical layer transmission. Simulation results demonstrate the efficacy of this method.