How Should IRSs Scale to Harden Multi-Antenna Channels?

This work extends the concept of channel hardening to multi-antenna systems that are aided by intelligent reflecting surfaces (IRSs). For fading links between a multi-antenna transmitter and a single-antenna receiver, we derive an accurate approximation for the distribution of the input-output mutual information when the number of reflecting elements grows large. The asymptotic results demonstrate that by increasing the number of elements on the IRS, the end-to-end channel hardens as long as the physical dimensions of the IRS grow as well. The growth rate however need not to be of a specific order and can be significantly sub-linear. The validity of the analytical result is confirmed by numerical experiments.

[1]  H. Poor,et al.  Channel Hardening of IRS-Aided Multi-Antenna Systems: How Should IRSs Scale? , 2022, IEEE Journal on Selected Areas in Communications.

[2]  J. Coon,et al.  Performance Analysis of IOS-Assisted NOMA System With Channel Correlation and Phase Errors , 2021, IEEE Transactions on Vehicular Technology.

[3]  Shuguang Cui,et al.  Massive MIMO Communication With Intelligent Reflecting Surface , 2021, IEEE Transactions on Wireless Communications.

[4]  H. Poor,et al.  Secure Active and Passive Beamforming in IRS-Aided MIMO Systems , 2022, IEEE Transactions on Information Forensics and Security.

[5]  Xianghao Yu,et al.  Outage and Finite-SNR DMT Analysis for IRS-aided MIMO Systems: How Large IRSs Need to Be? , 2021, ArXiv.

[6]  Qihui Wu,et al.  IRS-Enhanced Energy Detection for Spectrum Sensing in Cognitive Radio Networks , 2021, IEEE Wireless Communications Letters.

[7]  H. Poor,et al.  Designing IRS-Aided MIMO Systems for Secrecy Enhancement , 2021, ArXiv.

[8]  Hina Tabassum,et al.  Exact Coverage Analysis of Intelligent Reflecting Surfaces With Nakagami-M Channels , 2021, IEEE Transactions on Vehicular Technology.

[9]  Lingyang Song,et al.  Reconfigurable Intelligent Surface assisted Multi-user Communications: How Many Reflective Elements Do We Need? , 2020, ArXiv.

[10]  Emil Björnson,et al.  Rayleigh Fading Modeling and Channel Hardening for Reconfigurable Intelligent Surfaces , 2020, IEEE Wireless Communications Letters.

[11]  Ali Bereyhi,et al.  Secure Transmission in IRS-Assisted MIMO Systems with Active Eavesdroppers , 2020, 2020 54th Asilomar Conference on Signals, Systems, and Computers.

[12]  Liang Liu,et al.  Intelligent Reflecting Surface Assisted Massive MIMO Communications , 2020, 2020 IEEE 21st International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[13]  Jie Xu,et al.  Joint Transmit and Reflective Beamforming Design for IRS-Assisted Multiuser MISO SWIPT Systems , 2019, ICC 2020 - 2020 IEEE International Conference on Communications (ICC).

[14]  Rui Zhang,et al.  Towards Smart and Reconfigurable Environment: Intelligent Reflecting Surface Aided Wireless Network , 2019, IEEE Communications Magazine.

[15]  Walid Saad,et al.  Performance Analysis of Large Intelligent Surfaces (LISs): Asymptotic Data Rate and Channel Hardening Effects , 2018, IEEE Transactions on Wireless Communications.

[16]  Feifei Gao,et al.  Joint Active and Passive Beamforming for Intelligent Reflecting Surface-Assisted Massive MIMO Systems , 2019, ArXiv.

[17]  Zijian Zhang,et al.  Analysis and Optimization of Outage Probability in Multi-Intelligent Reflecting Surface-Assisted Systems , 2019, ArXiv.

[18]  Saba Asaad,et al.  Massive MIMO With Antenna Selection: Fundamental Limits and Applications , 2018, IEEE Transactions on Wireless Communications.

[19]  Emil Björnson,et al.  Massive MIMO Has Unlimited Capacity , 2017, IEEE Transactions on Wireless Communications.

[20]  Sergey Loyka,et al.  The Capacity of Gaussian MIMO Channels Under Total and Per-Antenna Power Constraints , 2016, IEEE Transactions on Communications.

[21]  Josef A. Nossek,et al.  The Multiport Communication Theory , 2014, IEEE Circuits and Systems Magazine.

[22]  Josef A. Nossek,et al.  Toward a Circuit Theory of Communication , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[23]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[24]  Thomas L. Marzetta,et al.  Multiple-antenna channel hardening and its implications for rate feedback and scheduling , 2004, IEEE Transactions on Information Theory.

[25]  Wei Yu,et al.  Iterative water-filling for Gaussian vector multiple-access channels , 2001, IEEE Transactions on Information Theory.