Hardware Impairments-Aware Transceiver Design for Multi-Carrier Full-Duplex MIMO Relaying

IEEE Transactions on Vehicular Technology, vol. 70, pp. 1109–1121

Abstract

In this work, we study the linear precoding and decoding design problem for a full-duplex (FD) multi-carrier (MC) decode and forward (DF) relaying system, under multiple sources of impairments. In particular, the impact of non-linear hardware distortions at the transmit and receiver chains, leading to residual self-interference (SI) and inter-carrier leakage (ICL), as well as the imperfect channel state information (CSI) are taken into account. In the first step, the known time-domain characterization of hardware impairments is transformed over a general orthonormal MC basis. As a result, the problem of linear precoding and decoding design is formulated to maximize the MC system sum-rate, however, leading to a non-convex mathematical structure. An alternating quadratic convex program (AQCP) is consequently proposed, with a monotonic improvement at each iteration, leading to a guaranteed convergence. The proposed AQCP framework is then extended, employing the Dinkelbach algorithm, in order to maximize the system energy efficiency in terms of bits-per-Joule. The proposed design strategies are considered both for per-subcarrier as well as the joint-subcarrier coding strategies, wherein the latter case the coding is performed jointly over all subcarriers. Numerical simulations show a significant gain in the performance of the proposed algorithms compared to the half-duplex (HD) counterparts or to the solutions where the impact of impairments are not considered, particularly when the hardware accuracy is not very high.

Authors 3

1. Vimal Radhakrishnan Aachen Institute for Theoretical Information Technology

   RWTH Aachen University

   Affiliation as printed

   Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany

2. Omid Taghizadeh

   Technische Universität Berlin

   Affiliation as printed

   Network Information Theory Group, Technische Universität Berlin, Berlin, Germany

3. Rudolf Mathar Aachen Institute for Theoretical Information Technology

   RWTH Aachen University

   Affiliation as printed

   Institute for Theoretical Information Technology, RWTH Aachen University, Aachen, Germany