MIMO Channel Capacity in 2D and 3D Isotropic Environments

We analyze theoretical distributions of MIMO channel capacity for different antennas in 2D and 3D statistically isotropic environments, which may be generated by multiprobe anechoic and reverberation chambers, respectively. We observe that the two environments yield comparable capacity distributions provided that (1) the 2D statistically isotropic environment’s capacity data are taken at many different antenna orientations and (2) the radiation elements have a low directivity. When these conditions are met, we find that the relative error between the 2D statistically isotropic environment’s orientation-combined capacity distribution and the 3D statistically isotropic environment’s capacity distribution is typically less than 10% for signal-to-noise ratios greater than 5 dB.

[1]  R. E. Miles.  On random rotations in R3 , 1965 .

[2]  Ulf Carlberg,et al.  Ray based multipath simulation tool for studying convergence and estimating ergodic capacity and diversity gain for antennas with given far-field functions , 2010, 2010 Conference Proceedings ICECom, 20th International Conference on Applied Electromagnetics and Communications.

[3]  R. Meys,et al.  Statistical Response of Antennas under Uncorrelated Plane Wave Spectrum Illumination , 2004 .

[4]  D. Hill.  Plane wave integral representation for fields in reverberation chambers , 1998 .

[5]  K. A. Remley,et al.  The reverberation chamber's unstirred field: A validation of the image theory interpretation , 2011, 2011 IEEE International Symposium on Electromagnetic Compatibility.

[6]  M. Migliaccio,et al.  Reverberating chamber electromagnetic field in presence of an unstirred component , 2000 .

[7]  Lee M. Garth,et al.  Exact capacity distributions for MIMO systems with small numbers of antennas , 2003, IEEE Communications Letters.

[8]  Yu Gao,et al.  On the MIMO OTA test system , 2010, 2010 5th International ICST Conference on Communications and Networking in China.

[9]  Pekka Kyosti,et al.  On the number of OTA antenna elements for plane-wave synthesis in a MIMO-OTA test system involving a circular antenna array , 2010, Proceedings of the Fourth European Conference on Antennas and Propagation.

[10]  Rodney G. Vaughan,et al.  Channels, Propagation and Antennas for Mobile Communications , 2003 .

[11]  Claude Oestges,et al.  Impact of Antenna Coupling on 2 $\times$ 2 MIMO Communications , 2007, IEEE Transactions on Vehicular Technology.

[12]  Fredrik Tufvesson,et al.  Mean effective gain of antennas in a wireless channel , 2009 .

[13]  Ulf Carlberg,et al.  About measurements in reverberation chamber and isotropic reference environment , 2010, 2010 Conference Proceedings ICECom, 20th International Conference on Applied Electromagnetics and Communications.

[14]  Steven M. LaValle,et al.  Generating Uniform Incremental Grids on SO(3) Using the Hopf Fibration , 2008, WAFR.

[15]  Pekka Kyosti,et al.  On a MIMO-OTA testing based on multi-probe technology , 2010, 2010 URSI International Symposium on Electromagnetic Theory.

[16]  Julie C. Mitchell.  Sampling Rotation Groups by Successive Orthogonal Images , 2007, SIAM J. Sci. Comput..

[17]  M. Evans.  Statistical Distributions , 2000 .

[18]  G. F. Pedersen,et al.  On Small Terminal Antenna Correlation and Impact on MIMO Channel Capacity , 2012, IEEE Transactions on Antennas and Propagation.

[19]  Jesper O. Nielsen,et al.  Antennas in real environments , 2011, Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP).

[20]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[21]  O. Lunden,et al.  How to Avoid Unstirred High Frequency Components in Mode Stirred Reverberation Chambers , 2007, 2007 IEEE International Symposium on Electromagnetic Compatibility.

[22]  Koichi Ogawa,et al.  Effects of Received Power Imbalance on the Channel Capacity of a Handset MIMO , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[23]  D. Hill,et al.  Spatial-correlation functions of fields and energy density in a reverberation chamber , 2002 .