Robust Synthesis Scheme for Secure Multi-Beam Directional Modulation in Broadcasting Systems

Abstract

Recently, directional modulation has become an active research area in wireless communications due to its security. Unlike existing research work, we consider a multi-beam directional modulation (MBDM) scenario with imperfect desired direction knowledge. In such a setting, a robust synthesis scheme is proposed for MBDM in broadcasting systems. In order to implement the secure transmission of a confidential message, the beamforming vector of the confidential message is designed to preserve its power as possible in the desired directions by minimizing its leakage to the eavesdropper directions while the projection matrix of artificial noise (AN) is to minimize the effect on the desired directions and force AN to the eavesdropper directions by maximizing the average receive signal-toartificial-noise ratio at desired receivers. Simulation results show that compared with conventional methods, the proposed robust scheme achieves much better bit error rate performance along desired directions for a given signal-to-noise ratio (SNR). From the secrecy-rate aspect, the proposed scheme performs better than conventional methods for almost all SNR regions. In particular, in the medium and high SNR regions, the rate improvement of the proposed scheme over conventional methods is significant.

WFRFT-Aided Power-Efficient Multi-Beam Directional Modulation Schemes Based on Frequency Diverse Array

“…The AN was also employed in [18] and [19] to realize multi-beam DM transmissions using precoding and iterative convex optimization, respectively. The work in [20] [21] presented a robust synthesis method using optimization algorithms for multi-beam DM transmissions with imperfect estimations of directions. In addition to multi-direction DM transmissions, point-to-multipoint DM transmissions were studied in [22]- [24] using FDA.…”

Alternating iterative secure structure between beamforming and power allocation for UAV-aided directional modulation networks

“…Algorithm 1 Proposed alternating iterative algorithm Initialization: i = 0, β i n = 0.1, R i s = 0. 1) For given β i n , compute the v i b,n and v i AN,n based on (15) and (19), 2) Solve (27) and discuss aforementioned two scenarios to obtain β i+1 n , 3) Update β i n = β i+1 n , i = i + 1, The parameters and specifications are used as follows: the spacing between two adjacent antennas is d = λ/2, the path loss exponent c = 2, the distance between S and D is L=800m, the distance between Alice and Eve is 200m, the flying altitude of UAV Bob is H=20m, the UAV speed is v=8m/s, the sample interval ∆t=1s, and the number of sampling points N = ⌊T /∆t⌋. Fig.…”

“…This generates measurement errors [25]. In the presence of angle measurement errors, the authors in [26], [27] proposed two robust DM synthesis beamforming schemes to exploit the statical property of these errors. Actually, the two method achieved a substantial SR improvement over existing nonrobust ones.…”

Secure SWIPT for Directional Modulation-Aided AF Relaying Networks

“…Recently, a promising physical layer security technique, known as directional modulation (DM), has attracted a lot of attention. In contrast to conventional information beamforming techniques, DM has the ability to directly transmit the confidential messages in desired directions to guarantee the security of information transmission, while distorting the signals leaking out in other directions [30]- [34]. In [30], the authors proposed a DM technique that employed a phased array to generate the modulation.…”

“…To tackle this open problem, we propose a secure SWIPT scheme based on AF aided DM. Compared to [25]- [29], instead of channel estimation error modeled obeying the ellipsoid bound constraint, we model the estimation error of direction angle as the truncated Gaussian distribution which is more practical in our DM scenario [34]. The main contributions of this paper are summarized as follows.…”