# A Secure Spatial Multiplexing Transmission Scheme in MIMO Amplify-and-Forward Wiretap Relaying Systems Using Deliberate Precoder Randomization

## TL;DR

This paper introduces a new secure transmission method for MIMO relay systems that protects against eavesdropping without needing to know the eavesdropper's channel.

## Contribution

A novel artificial fast fading design for MIMO AF relay systems using precoder randomization to ensure low probability of interception.

## Key findings

- A non-convex optimization problem is formulated and approximated to minimize Bob's signal error while ensuring LPI.
- A closed-form solution is derived using convex set approximation techniques.
- Computer simulations confirm the effectiveness of the proposed design in securing communications.

## Abstract

Physical-layer security offers low probability of interception (LPI) in wireless communication systems. While prior methods such as the directional beamforming and secrecy coding schemes require knowledge of the eavesdropper (Eve)’s channel, passive eavesdropping limits their practicality. Artificial additive noise and artificial fast fading (AFF) schemes address the issue by degrading detection ability of a potential Eve without knowing its channel information. In particular, AFF achieves LPI by effectively shortening the coherence time of Eve’s channel using a random precoder while keeping the legitimate receiver (Bob)’s channel deterministic. In this paper, we propose a novel AFF design for spatial multiplexing multi-input multi-output (MIMO) amplify-and-forward (AF) relay systems. First, we formulate an optimization problem to achieve minimum mean squared error (MMSE) of Bob’s signals while guaranteeing LPI conditions from Eve, which is generally non-convex. To tackle the non-convexity of the problem, we apply a convex set approximation technique and thereby derive a simple closed-form design. Finally, we evaluated the performance of both Bob and Eve via computer simulations to demonstrate the effectiveness of our proposed design.