Error Probability Analysis of Intelligent Reflecting Surface-Enabled Non-Orthogonal Multiple Access Systems

We analyze the error performance of intelligent reflecting surface (IRS)-aided non-orthogonal multiple access (NOMA) systems. We deduce novel approximate analytical expressions for average symbol error probability (SEP) for PAM and QAM. We also analyze the multi-user scenario by deriving the novel approximate analytical expressions for (i) the average SEP for multicast transmission and (ii) the average pairwise error probability (PEP) for unicast transmission. We consider Rayleigh fading direct path and independently Rician fading reflected paths from access point to users via IRS. We also formulate and solve a constrained optimization problem to determine the fraction of elements to be activated at any IRS in order to guarantee near-identical SEP performance for both the users. We present results to elucidate that adding few extra IRS elements yields SNR gain for both users, requires allocation of lower power to weaker user and supports communication with higher-order constellation without significant increase in SEP/PEP. Furthermore, a 3-bit programmable IRS yields near-identical performance as an IRS with infinite precision phase-shift. Impact of estimation error on average SEP is also investigated.

[1]  Inkyu Lee,et al.  On the Performance of IRS-Aided UAV Networks With NOMA , 2022, IEEE Transactions on Vehicular Technology.

[2]  Derrick Wing Kwan Ng,et al.  Resource Allocation and 3D Trajectory Design for Power-Efficient IRS-Assisted UAV-NOMA Communications , 2022, IEEE Transactions on Wireless Communications.

[3]  S. Lambotharan,et al.  Low-Complexity Antenna Selection and Discrete Phase-Shifts Design in IRS-Assisted Multiuser Massive MIMO Networks , 2022, IEEE Transactions on Vehicular Technology.

[4]  S. Baek,et al.  5G Evolution for Multicast and Broadcast Services in 3GPP Release 17 , 2021, IEEE Communications Standards Magazine.

[5]  Octavia A. Dobre,et al.  Large Intelligent Surface-Assisted Nonorthogonal Multiple Access for 6G Networks: Performance Analysis , 2021, IEEE Internet of Things Journal.

[6]  Zhijin Qin,et al.  Resource Allocation in Intelligent Reflecting Surface Assisted NOMA Systems , 2020, IEEE Transactions on Communications.

[7]  Rui Zhang,et al.  Intelligent Reflecting Surface-Assisted Multiple Access With User Pairing: NOMA or OMA? , 2020, IEEE Communications Letters.

[8]  Vetrivel Chelian Thirumavalavan,et al.  BER Analysis of Reconfigurable Intelligent Surface Assisted Downlink Power Domain NOMA System , 2020, 2020 International Conference on COMmunication Systems & NETworkS (COMSNETS).

[9]  Zhiguo Ding,et al.  A Simple Design of IRS-NOMA Transmission , 2019, IEEE Communications Letters.

[10]  Emil Björnson,et al.  Intelligent Reflecting Surface Versus Decode-and-Forward: How Large Surfaces are Needed to Beat Relaying? , 2019, IEEE Wireless Communications Letters.

[11]  Jung-Bin Kim,et al.  Average Symbol Error Rate Analysis for Non-Orthogonal Multiple Access With $M$ -Ary QAM Signals in Rayleigh Fading Channels , 2019, IEEE Communications Letters.

[12]  Yulin Hu,et al.  Closed-Form Symbol Error Rate Expressions for Non-Orthogonal Multiple Access Systems , 2019, IEEE Transactions on Vehicular Technology.

[13]  Sami Muhaidat,et al.  Error Probability Analysis of Non-Orthogonal Multiple Access Over Nakagami- $m$ Fading Channels , 2019, IEEE Transactions on Communications.

[14]  Ferdi Kara,et al.  BER performances of downlink and uplink NOMA in the presence of SIC errors over fading channels , 2018, IET Commun..

[15]  Emil Björnson,et al.  Joint Unicast and Multi-Group Multicast Transmission in Massive MIMO Systems , 2018, IEEE Transactions on Wireless Communications.

[16]  H. Vincent Poor,et al.  A General MIMO Framework for NOMA Downlink and Uplink Transmission Based on Signal Alignment , 2015, IEEE Transactions on Wireless Communications.

[17]  Marco Chiani,et al.  New exponential bounds and approximations for the computation of error probability in fading channels , 2003, IEEE Trans. Wirel. Commun..

[18]  K. Ghosh,et al.  India , 1988, The Lancet.

[19]  Kerstin Vogler,et al.  Table Of Integrals Series And Products , 2016 .

[20]  LF Reis Techniques , 2007, Modern Pathology.