Outage Probability Analysis of NOMA within Massive MIMO Systems

A Pseudo Double Scattering Channel (PDSC) Matrix assumption is proposed here for the downlink Non- Orthogonal Multiple Access (NOMA) within the massive Multi-Input Multi-Output (MIMO) systems. Afterwards, the outage probability analysis of such a system is investigated. That is, with the aid of random matrix and statistics theories, the Cumulative Probability Distribution (CDF) and also the outage probability performance are addressed. After that, the mathematics derivations obtained here are verified through numerical simulation results, wherein we further find out that with antenna number increasing, the system outage probability performance is reduced.

[1]  Zhiguo Ding,et al.  Nonorthogonal Multiple Access for 5G , 2018, 5G Networks: Fundamental Requirements, Enabling Technologies, and Operations Management.

[2]  Matthew R. McKay,et al.  High-SNR Performance of MIMO Multi-Channel Beamforming in Double-Scattering Channels , 2011, IEEE Transactions on Communications.

[3]  Mohamed-Slim Alouini,et al.  Outage probability of diversity systems over generalized fading channels , 2000, IEEE Trans. Commun..

[4]  Moe Z. Win,et al.  On the marginal distribution of the eigenvalues of wishart matrices , 2009, IEEE Transactions on Communications.

[5]  Ren-Cang Li,et al.  Rayleigh-Ritz Approximation For the Linear Response Eigenvalue Problem , 2014, SIAM J. Matrix Anal. Appl..

[6]  Muhammad Imran,et al.  Non-Orthogonal Multiple Access (NOMA) for cellular future radio access , 2017 .

[7]  Hyundong Shin,et al.  Capacity of multiple-antenna fading channels: spatial fading correlation, double scattering, and keyhole , 2003, IEEE Trans. Inf. Theory.

[8]  Huiling Jiang,et al.  Evaluations of downlink non-orthogonal multiple access (NOMA) combined with SU-MIMO , 2014, 2014 IEEE 25th Annual International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC).

[9]  Takuro Sato,et al.  Performance Analysis of NOMA within massive MIMO systems (無線通信システム) , 2015 .

[10]  Andrea J. Goldsmith,et al.  Eigenvalue Dynamics of a Central Wishart Matrix With Application to MIMO Systems , 2014, IEEE Transactions on Information Theory.

[11]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

[12]  Zhengang Pan,et al.  On the Ergodic Capacity of MIMO NOMA Systems , 2015, IEEE Wireless Communications Letters.

[13]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[14]  Daniel Pérez Palomar,et al.  Ordered Eigenvalues of a General Class of Hermitian Random Matrices With Application to the Performance Analysis of MIMO Systems , 2009, IEEE Transactions on Signal Processing.

[15]  R. Couillet,et al.  Random Matrix Methods for Wireless Communications: Estimation , 2011 .

[16]  森川 博之,et al.  Non-linear Pre-coding for Non-Orthogonal Multiple Access in MU-MIMO System with Modulo-based Interference Cancellation (無線通信システム) -- (移動通信ワークショップ) , 2015 .

[17]  Suvra Sekhar Das,et al.  Power allocation in OFDM based NOMA systems: A DC programming approach , 2014, 2014 IEEE Globecom Workshops (GC Wkshps).

[18]  H. Vincent Poor,et al.  Outage Probability and Outage-Based Robust Beamforming for MIMO Interference Channels with Imperfect Channel State Information , 2012, IEEE Transactions on Wireless Communications.

[19]  Charles R. Johnson,et al.  Matrix Analysis, 2nd Ed , 2012 .

[20]  Matthew R. McKay,et al.  Transmit Beamforming in Rayleigh Product MIMO Channels: Capacity and Performance Analysis , 2008, IEEE Transactions on Signal Processing.

[21]  Fumiyuki Adachi,et al.  The Application of MIMO to Non-Orthogonal Multiple Access , 2015, IEEE Transactions on Wireless Communications.

[22]  Moe Z. Win,et al.  On the capacity of spatially correlated MIMO Rayleigh-fading channels , 2003, IEEE Trans. Inf. Theory.

[23]  Giuseppa Alfano,et al.  Closed-Form Output Statistics of MIMO Block-Fading Channels , 2014, IEEE Transactions on Information Theory.

[24]  Charalambos D. Charalambous,et al.  Outage Probability Under Channel Distribution Uncertainty , 2011, IEEE Transactions on Information Theory.

[25]  Takuro Sato,et al.  Energy Efficiency Scheme with Cellular Partition Zooming for Massive MIMO Systems , 2014, 2015 IEEE Twelfth International Symposium on Autonomous Decentralized Systems.

[26]  Mohamed-Slim Alouini,et al.  Impact of correlation on the capacity of MIMO channels , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[27]  Sean A. Ramprashad,et al.  Achieving "Massive MIMO" Spectral Efficiency with a Not-so-Large Number of Antennas , 2011, IEEE Transactions on Wireless Communications.

[28]  Jinho Choi H-ARQ Based Non-Orthogonal Multiple Access with Successive Interference Cancellation , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.