Explicit solution of worst-case secrecy rate for MISO wiretap channels with spherical uncertainty

Abstract

Abstract1 A multiple-input single-output (MISO) wiretap channel model is considered, that includes a multiantenna transmitter, a single-antenna legitimate receiver and a single-antenna eavesdropper. For the scenario in which spherical uncertainty for both the legitimate and the eavesdropper channels is included, the problem of finding the optimal input covariance that maximizes the worst-case secrecy rate subject to a power constraint, is considered, and an explicit expression for the maximum worst-case secrecy rate is provided. Index TermsSecrecy rate, worst-case secrecy rate, MISO wiretap channel, channel uncertainty

Secure Transmission and Self-Energy Recycling With Partial Eavesdropper CSI

“…In order to guarantee secrecy for any admissible ECSI uncertainties, including worst, the worst-case secrecy rate (WCSR) [33,39,40] is adopted as the performance metric, which is defined as the minimum secrecy rate for any error in the uncertainty region of the channel,…”

Energy-efficient secure communications in MISO-SE systems

“…One typical scenario is that in which the transmitter only knows that the norm of the channel to the eavesdropper varies in a range g ≤ [6]. In this case, a viable approach is to resort to robust optimization, considering the following worst-case energy-efficient problem formulation,…”

AN‐aided probabilistic robust and secure beamforming with imperfect LCSI and statistical ECSI

“…Additionally, these multi-antenna secure transmission schemes have been fully investigated over the various wireless communications systems, including conventional cellular systems [7], wireless powered heterogeneous network [8,9], hybrid satellite-terrestrial relay network [10], device-to-device underlaid cellular network [11], energy harvesting cognitive radio network [12] etc. Generally speaking, most of the multi-antenna secure transmission schemes fall into two broad categories: transmit beamforming [12][13][14][15][16][17] and joint optimisation of beamforming and artificial noise (AN) [9,[18][19][20][21]. To cater to the legitimate receiver and interfere with the eavesdroppers, these two types of approaches depend on the amount and degree of channel state information at the transmitter (CSIT) heavily.…”

“…Assuming perfect LCSI, in both cases of perfect and imperfect instantaneous ECSI, Li et al [19] aimed at multi-eavesdropper secrecy rate maximisation (SRM) by optimising transmit covariances for the confidential signal and spatially selective AN jointly. In scenarios where LCSI and ECSI are both imperfect at the transmitter, the authors of [13,17] discussed the optimal RBF without AN.…”

“…It is worthy emphasising that with the deterministic LCSI and ECSI uncertainty model, [13,17] both sought for the SRM problem of multiple-input-single-output (MISO) wiretap channel in the worst case, except that [17] actually investigated a special case of channel uncertainty considered in [13], i.e. spherical uncertainty.…”