Performance Analysis of Full-Duplex-MRC-MIMO With Self-Interference Cancellation Using Null-Space-Projection

Mohamad A Ahmed,Anas F Al Rawi,Charalampos C Tsimenidis

doi:10.1109/tsp.2016.2540611

Abstract

In this paper, the performance analysis of a full-duplex maximum ratio combining multiple-input multiple-output (FD-MRC-MIMO) system based on equalize-and-forward (EF) relaying with self-interference-cancellation (SIC) is derived under imperfect channels state information (CSI). The performance of the system is investigated in the presence of additive white Gaussian noise (AWGN) over Rayleigh fading channels. Self-interference cancellation is performed by applying null-space-projection (NSP) via singular-value-decomposition (SVD). Furthermore, exact, closed-form solutions for the signal-to-interference-plus-noise ratio (SINR) distribution and outage probability are mathematically formulated and evaluated along with the average symbol-error-rate (ASER) for $M$ -ary phase-shift keying (M-PSK) modulation. The coefficients of the EF-relay are obtained to attain the minimum mean square error (MMSE) between the transmission symbols. Comparison of the obtained results with relevant state-of-the-art techniques suggests significant improvements in the SINR figures and system capacity.

Highlights

D UE to the continually increasing demands on frequency and energy resources, full-duplex (FD) has become an essential necessity and inevitable evolutionary step in the realm of wireless communications
We extend the works in [5], [16]–[18] by utilizing EF relaying instead of DF and AF relays and we derive the relay transformation coefficients for FD-maximum ratio combining (MRC)-MIMO using EF relaying in order to minimize the mean square error (MSE) between the transmitted and the received symbols
Where represents the E2E probability of error averaged over the two independent random variables and, which represent the signal-to-interference-plus-noise ratio (SINR) of the first and second hops, respectively, whilst, in general, represents the average probability of error over the independent random variable

Summary

INTRODUCTION

D UE to the continually increasing demands on frequency and energy resources, full-duplex (FD) has become an essential necessity and inevitable evolutionary step in the realm of wireless communications. The relay has the ability to receive data from the source and deliver it to the destination either by using amplify-and-forward (AF), decode-and-forward (DF), or by equalize-and-forward (EF) approaches For these types of relaying, estimation and subtraction operations of SI are required to maximize the signal-to-interference-plus-noise ratio (SINR), which increases the capacity, improves the overall spectral efficiency and enhances the entire performance of these systems utilizing the FD technique. One conventional SIC method used in this area is based on the idea of utilizing the known transmitted data along with the estimated loop channel to reconstruct the interference signal and subtract it from the received signals This scheme is referred to as time-domain cancellation (TDC) [2], [7], [11].

SIGNAL AND SYSTEM MODEL

SINR of the First Hop

SINR of the 2nd Hop

END-TO-END CAPACITY

SIMULATION RESULTS AND DISCUSSION

CONCLUSION