Achieving multiple degrees of freedom in long-range mm-wave MIMO channels using randomly distributed relays

Multi-Gbps, long-range wireless communication at millimeter wave frequencies is characterized by channels with strong line-of-sight signal components, with link budgets relying on highly directional and dense transmit and receive antenna arrays with sub-wavelength inter-element spacing. A natural method to further increase data rates over such channels is to spatially multiplex several data streams by providing additional antenna arrays at both ends of the communication system. However, at the link ranges of interest, the resulting MIMO channel rank, largely governed by the Rayleigh criterion, is deficient for inter-array spacings that can be realized with reasonable node size. As exact relay placement is out of the question, one scalable approach to obtaining the maximum available degrees of freedom is to introduce relay nodes randomly distributed over a sufficiently large region that the effective inter-relay spacing satisfies a probabilistic version of the Rayleigh criterion. In this paper, we present analysis and simulation results which provide design guidelines regarding the required size of the relay region, and quantify the dependence of performance on the number of relays.

[1]  Yan V. Fyodorov.  Recent Perspectives in Random Matrix Theory and Number Theory: Introduction to the random matrix theory: Gaussian Unitary Ensemble and beyond , 2005 .

[2]  Upamanyu Madhow,et al.  Compressive adaptation of large steerable arrays , 2012, 2012 Information Theory and Applications Workshop.

[3]  Upamanyu Madhow,et al.  Analog multitone with interference suppression: Relieving the ADC bottleneck for wideband 60 GHz systems , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

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

[5]  Helmut Bölcskei,et al.  Capacity scaling laws in MIMO relay networks , 2006, IEEE Transactions on Wireless Communications.

[6]  Marcelo Aguiar,et al.  The Hopf algebra of uniform block permutations , 2008 .

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

[8]  Upamanyu Madhow,et al.  A 2.4 Gb/s millimeter-wave link using adaptive spatial multiplexing , 2010, 2010 IEEE Antennas and Propagation Society International Symposium.

[9]  Bo Wang,et al.  On the capacity of MIMO relay channels , 2005, IEEE Transactions on Information Theory.

[10]  Berthold Lankl,et al.  Amplify-and-forward relay stations in correlated line-of-sight indoor MIMO channels , 2009, 2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications.

[11]  Cedric E. Ginestet.  Spectral Analysis of Large Dimensional Random Matrices, 2nd edn , 2012 .

[12]  Da-shan Shiu,et al.  Channel modeling and capacity evaluation for relay-aided MIMO systems in LOS environments , 2007, 2007 International Symposium on Communications and Information Technologies.

[13]  I. Hammerstroem,et al.  Space-time processing for cooperative relay networks , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[14]  Brett T. Walkenhorst,et al.  Multiple Repeater Placement for Assisting Long-Range LOS MIMO Links , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[15]  C. Tracy,et al.  Introduction to Random Matrices , 1992, hep-th/9210073.

[16]  Jonathan M. Borwein,et al.  Some arithmetic properties of short random walk integrals , 2011 .

[17]  J. W. Silverstein,et al.  Spectral Analysis of Large Dimensional Random Matrices , 2009 .

[18]  Armin Wittneben,et al.  Impact of Cooperative Relays on the Capacity of Rank-Deficient MIMO Channels , 2006 .

[19]  R.W. Heath,et al.  60 GHz wireless communications: emerging requirements and design recommendations , 2007, IEEE Vehicular Technology Magazine.

[20]  A. I. Solomon,et al.  Extended Bell and Stirling numbers from hypergeometric exponentiation , 2001, math/0106123.

[21]  Upamanyu Madhow,et al.  Indoor Millimeter Wave MIMO: Feasibility and Performance , 2011, IEEE Transactions on Wireless Communications.

[22]  Upamanyu Madhow,et al.  Sidestepping the Rayleigh limit for LoS spatial multiplexing: A distributed architecture for long-range wireless fiber , 2013, 2013 Information Theory and Applications Workshop (ITA).

[23]  Pertti Vainikainen,et al.  Mm-wave MIMO systems for high data-rate mobile communications , 2009, 2009 1st International Conference on Wireless Communication, Vehicular Technology, Information Theory and Aerospace & Electronic Systems Technology.

[24]  Robert W. Brodersen,et al.  Impact of scattering on the capacity, diversity, and propagation range of multiple-antenna channels , 2006, IEEE Transactions on Information Theory.

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

[26]  N. J. A. Sloane,et al.  The On-Line Encyclopedia of Integer Sequences , 2003, Electron. J. Comb..