Asymptotic and Non-Asymptotic Analysis of Uplink Sum Rate for Relay-Assisted MIMO Cellular Systems

We consider uplink relay-assisted MIMO cellular systems with multiple relays deployed in each cell that perform the amplify-and-forward operations. We are interested in obtaining deterministic expressions for the ergodic sum rate of such systems. We first consider the large MIMO dimension scenario, and obtain two asymptotic sum rate expressions, corresponding to the cases of fixed number of users and large number of users, respectively. We then consider the case of arbitrary MIMO dimension and large number of users, and obtain an upper and lower bound that the sum rate lies in between with high probability. The bounds are tight when the number of users is large. Both single-cell and multi-cell systems are considered, where the latter assumes full base station cooperation. Numerical experiments show that these deterministic sum rate expressions match well with the Monte Carlo simulation results. Therefore they can be useful tools for the design and analysis of relay-assisted MIMO cellular systems.

[1]  Umberto Spagnolini,et al.  Uplink Throughput of TDMA Cellular Systems with Multicell Processing and Amplify-and-Forward Cooperation Between Mobiles , 2007, IEEE Transactions on Wireless Communications.

[2]  Thomas L. Marzetta,et al.  Systematic design of unitary space-time constellations , 2000, IEEE Trans. Inf. Theory.

[3]  Krishna Sayana,et al.  Downlink MIMO in LTE-advanced: SU-MIMO vs. MU-MIMO , 2012, IEEE Communications Magazine.

[4]  Jian-Kang Zhang,et al.  Ergodic Channel Capacities for the Amplify-and-Forward Half-Duplex Cooperative Systems , 2009, IEEE Transactions on Information Theory.

[5]  Yingbo Hua,et al.  Optimal Design of Non-Regenerative MIMO Wireless Relays , 2007, IEEE Transactions on Wireless Communications.

[6]  Lizhong Zheng,et al.  Amplify-and-Forward in Wireless Relay Networks: Rate, Diversity, and Network Size , 2007, IEEE Transactions on Information Theory.

[7]  Preben E. Mogensen,et al.  A stochastic MIMO radio channel model with experimental validation , 2002, IEEE J. Sel. Areas Commun..

[8]  Bhaskar D. Rao,et al.  Efficient feedback methods for MIMO channels based on parameterization , 2007, IEEE Transactions on Wireless Communications.

[9]  Armin Wittneben,et al.  Distributed gain matrix optimization in non-regenerative MIMO relay networks , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[10]  Mérouane Debbah,et al.  A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels , 2009, IEEE Transactions on Information Theory.

[11]  Ernst Bonek,et al.  A stochastic MIMO channel model with joint correlation of both link ends , 2006, IEEE Transactions on Wireless Communications.

[12]  Symeon Chatzinotas,et al.  On the multicell processing capacity of the cellular MIMO uplink channel in correlated rayleigh fading environment , 2009, IEEE Transactions on Wireless Communications.

[13]  Antonia Maria Tulino,et al.  Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[14]  Shi Jin,et al.  On Capacity of Large-Scale MIMO Multiple Access Channels with Distributed Sets of Correlated Antennas , 2012, IEEE Journal on Selected Areas in Communications.

[15]  Ronghong Mo,et al.  Precoder design for non-regenerative MIMO relay systems , 2009, IEEE Transactions on Wireless Communications.

[16]  Andrea J. Goldsmith,et al.  On the duality of Gaussian multiple-access and broadcast channels , 2002, IEEE Transactions on Information Theory.

[17]  Mérouane Debbah,et al.  Asymptotic Capacity and Optimal Precoding in MIMO Multi-Hop Relay Networks , 2009, IEEE Transactions on Information Theory.

[18]  Pangan Ting,et al.  Robust Transmitter Design for Amplify-and-Forward MIMO Relay Systems Exploiting Only Channel Statistics , 2012, IEEE Transactions on Wireless Communications.

[19]  Mérouane Debbah,et al.  Iterative Deterministic Equivalents for the Performance Analysis of Communication Systems , 2011, ArXiv.

[20]  Upamanyu Madhow,et al.  Space-Time transmit precoding with imperfect feedback , 2001, IEEE Trans. Inf. Theory.

[21]  R. Heath,et al.  Limited feedback unitary precoding for spatial multiplexing systems , 2005, IEEE Transactions on Information Theory.

[22]  Adrian Agustin,et al.  Linear Transceiver Design in Nonregenerative Relays With Channel State Information , 2007, IEEE Transactions on Signal Processing.

[23]  Vi︠a︡cheslav Leonidovich Girko,et al.  Theory of random determinants , 1990 .

[24]  Roman Vershynin,et al.  Introduction to the non-asymptotic analysis of random matrices , 2010, Compressed Sensing.

[25]  Wei Yu,et al.  Multi-Cell MIMO Cooperative Networks: A New Look at Interference , 2010, IEEE Journal on Selected Areas in Communications.