Achievable Rates in Gaussian MISO Channels with Secrecy Constraints

Abstract

Abstract-A Gaussian MISO (multiple input single output) channel is considered where a transmitter is communicating to a receiver in the presence of an eavesdropper. The transmitter is equipped with multiple antennas, while the receiver and the eavesdropper each have a single antenna. The transmitter maximizes the communication rate, while concealing the message from the eavesdropper. The channel input is restricted to Gaussian signalling, with no preprocessing of information. For these channel inputs, and under different channel fading assumptions, optimal transmission strategies are found, in terms of the input covariance matrices. It is shown that, the optimal communication strategy in all cases, is beamforming.

Achievable Rates of Secure Transmission in Gaussian MISO Channel With Imperfect Main Channel Estimation

“…Furthermore, our framework is also related to [25]. However, the result in [25] cannot be applied to our problem since perfect CSIT is not available. Our primary concern in this paper is on how to design secure transmission strategies leveraging CSIT.…”

Secrecy capacity in large cooperative networks in presence of eavesdroppers with unknown locations

“…First, we investigate the first term of (17). Given (13), the offered sufficient condition presented in the Lemma 3 ( (11)) holds for all the layers.…”

“…Now we consider the second term in (17). For the summation of these terms, according to the Lemma 2, we have:…”

“…But, in this scheme we can exploit more relaying nodes and benefit more from channel diversity. In [17], for MISOSE situation with ergodic capacity criterion and known CSI and only for legitimate users, it has been proved that the efficient strategy for the beamforming of the transmission vector is to align it in the direction of the fading vector. Thus, by a similar technique, we align the beamforming vector in the direction of complex conjugate of channel gain vector, i.e., (g l ) * , to maximize the correlation between these two vectors.…”

On the security of large scale spectrum sharing networks

“…Recently, beamforming and artificial noise generation (BF&AN) at the legitimate transmitter has been proposed as a promising technique to confuse the eavesdroppers and enhance the security [5,6]. In this paper, we study the secrecy performance of large scale underlay spectrum sharing networks with BF&AN at the SU transmitter.…”