On Transmission Secrecy Outage of a Multi-Antenna System With Randomly Located Eavesdroppers

Security Optimization of Exposure Region-Based Beamforming With a Uniform Circular Array

“…The double summation of Bessel functions in (18) is intractable to analyze. In the following, A 0 will be further simplified.…”

“…3 to illustrate how to use the previous properties to simplify the summation of A 0 in (18). For N = 4, the table is extended to j = 8.…”

“…However, these regions were not based on informationtheoretic parameters, such as secrecy capacity or secrecy outage probability (SOP) [4], and thus lacked a quantitative measure of the security level. On the other hand, some information theoretical based methods lacked of the analysis from a physical perspective, for example, the aspect of antenna arrays [14]- [18].…”

On Secrecy Outage Probability and Average Secrecy Rate of Large‐Scale Cellular Networks

“…The difficulty of researching the secrecy performance in such wireless networks is how to model the random locations distribution of nodes accurately. Fortunately, stochastic geometry has provided a powerful tool to address this difficulty and achieved great success in ad hoc networks [9,10], random cognitive radio networks [11,12], and largescale cellular networks [13][14][15][16][17][18][19].…”

“…In [13], the authors derived the secrecy outage probability in the scenario where a transmitter transmits confidential information to an intended receiver in the presence of PPP distributed eavesdroppers. In order to further enhance physical layer security of networks, the researchers exploited various signal processing technologies, e.g., beamforming [14], transmit antenna selection (TAS) [15], regularized channel inversion linear precoding [16], and artificial noise (AN) [17], and designed different transmission schemes, e.g., on-off transmission [18] and secrecy guard zone [19]. It is worth noting that [14,15] simultaneously considered the noncooperative and cooperative eavesdroppers cases and analyzed the secrecy performance under various network factors.…”