Abstract

A receive diversity power line communication (PLC) system subject to correlated multipath channel fading and corrupted by additive Nakagami- <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$m$</tex-math></inline-formula> background noise is considered. The optimal receiver employing a 4-ary imbalanced-phase-amplitude modulation (I-PAM) scheme for data transmission is obtained, using which closed form expressions for the symbol error probability (SEP) in the union bound sense and the SEP in the asymptotic sense at high signal-to-noise ratio (SNR) are derived. The diversity order of the system is found to be independent of the shape parameter of the additive noise. Furthermore, the optimal 4-ary I-PAM constellation minimizing the SEP at lower SNR values is computed numerically. The optimal 4-ary I-PAM constellation is found to be elliptical in shape as opposed to the traditional circular QPSK constellation generally employed in wireless communication systems. The effects of the correlation among the multipath channel gains and the shape parameter of the noise on the optimality of the considered constellation are also presented via numerical studies.

Highlights

  • Power line communication (PLC), relying on the transfer of communication data over a pre-existing network of power cables, has attracted the attention of researchers over the past few decades owing to the extensive utilization of the technology towards applications such as control and automation of smart and micro-grid systems, development of communication protocols for smart metering systems, and various other automotive and multimedia applications [1]-[5]

  • The authors in [21] and [22] have considered an optimal and a suboptimal receiver, respectively, to obtain closed form expressions of the symbol error probability (SEP) for a receive diversity power line communication (PLC) system corrupted by additive Nakagamim background noise by employing binary phase-shift keying (BPSK) modulation for data transmission

  • For all the plots presented, the notation “Trad-quadrature phase-shift keying (QPSK)” refers to the traditional circular QPSK constellation used in communication systems and “OptimalQPSK” refers to the optimal 4-ary imbalanced-phaseamplitude modulation (I-PAM) constellation minimizing the SEP for the PLC system in study

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Summary

INTRODUCTION

Power line communication (PLC), relying on the transfer of communication data over a pre-existing network of power cables, has attracted the attention of researchers over the past few decades owing to the extensive utilization of the technology towards applications such as control and automation of smart and micro-grid systems, development of communication protocols for smart metering systems, and various other automotive and multimedia applications [1]-[5]. The authors in [21] and [22] have considered an optimal and a suboptimal receiver, respectively, to obtain closed form expressions of the symbol error probability (SEP) for a receive diversity PLC system corrupted by additive Nakagamim background noise by employing binary phase-shift keying (BPSK) modulation for data transmission. The elliptical optimal 4-ary I-PAM constellation outperforms the traditional QPSK constellation, at lower values of SNR in PLC systems employing lower diversity branches for data transmission Such kind of novel modulation schemes improve the reliability of the PLC systems which need to follow the electromagnetic compatibility by limiting the electromagnetic interference effects, which, in turn, is ensured by the use of lower signal power of the data transmitted through a lower number of power line channels [28].

SYSTEM MODEL
PAIRWISE ERROR PROBABILITIES AND UNION BOUND ON SEP
Case of Uniformly Correlated Channels
OPTIMAL 4-ARY I-PAM CONSTELLATION PARAMETERS
Asymptotic Results
NUMERICAL RESULTS
CONCLUSIONS
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