Secure MIMO Communications under Quantized Channel Feedback in the presence of Jamming

TL;DR

This paper investigates secure MIMO communications with quantized channel feedback in the presence of jamming, proposing a strategy that achieves optimal secrecy degrees-of-freedom and analyzing the impact of quantization.

Contribution

It introduces a transmission scheme combining artificial noise and linear precoding, characterizes achievable secrecy rates, and derives conditions for quantization bit rate scaling to maintain security.

Findings

Achieves secrecy degrees-of-freedom of d_s = n_r - n_j with perfect CSI.

Provides quantization bit rate scaling conditions to preserve SDoF.

Numerical results support theoretical analysis.

Abstract

We consider the problem of secure communications in a MIMO setting in the presence of an adversarial jammer equipped with $n_j$ transmit antennas and an eavesdropper equipped with $n_e$ receive antennas. A multiantenna transmitter, equipped with $n_t$ antennas, desires to secretly communicate a message to a multiantenna receiver equipped with $n_r$ antennas. We propose a transmission method based on artificial noise and linear precoding and a two-stage receiver method employing beamforming. Under this strategy, we first characterize the achievable secrecy rates of communication and prove that the achievable secure degrees-of-freedom (SDoF) is given by $d_s = n_r - n_j$ in the perfect channel state information (CSI) case. Second, we consider quantized CSI feedback using Grassmannian quantization of a function of the direct channel matrix and derive sufficient conditions for the quantization bit rate scaling as a function of transmit power for maintaining the achievable SDoF $d_s$ with perfect CSI and for having asymptotically zero secrecy rate loss due to quantization. Numerical simulations are also provided to support the theory.