Capacity of the Continuous-Space Electromagnetic Channel

Constructing the capacity bound of a multiple-input multiple-output wireless system is often performed by assuming specified antenna configurations and a propagation environment and determining the signaling strategy which maximizes throughput. This paper extends this approach to further determine the optimal antenna characteristics which maximize the capacity for the propagation scenario, with the resulting capacity bound representing the ultimate maximum achievable value if optimal antenna design and signaling are used. In this approach, the spatially-continuous transmit currents and receive fields are represented using eigenfunctions of appropriate operators. It is shown that, except under certain conditions where array supergain solutions emerge, the capacity remains bounded for finite transmit power. The approach also shows how to limit supergain effects using practical constraints. Model problems and numerical computations are provided for different power constraints at the transmitter and noise characteristics at the receiver.

[1]  Y. Lo,et al.  Optimization of directivity and signal-to-noise ratio of an arbitrary antenna array , 1966 .

[2]  Michael A. Jensen,et al.  Modeling the indoor MIMO wireless channel , 2002 .

[3]  John M. Cioffi,et al.  Spatio-temporal coding for wireless communication , 1998, IEEE Trans. Commun..

[4]  Michael A. Jensen,et al.  The Relationship Between Antenna Loss and Superdirectivity in MIMO Systems , 2007, IEEE Transactions on Wireless Communications.

[5]  J. Kong Electromagnetic Wave Theory , 1986 .

[6]  Minyue Fu,et al.  Wireless communication systems with-spatial diversity: a volumetric model , 2006, IEEE Transactions on Wireless Communications.

[7]  C.C. Martin,et al.  Multiple-input multiple-output (MIMO) radio channel measurements , 2001, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229).

[8]  S. Nordebo,et al.  On the capacity of the free space antenna channel , 2006, 2006 IEEE Antennas and Propagation Society International Symposium.

[9]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[10]  J. Butler,et al.  Constrained optimization of the performance indices of arbitrary array antennas , 1971 .

[11]  A.A.M. Saleh,et al.  A Statistical Model for Indoor Multipath Propagation , 1987, IEEE J. Sel. Areas Commun..

[12]  J. Wallace,et al.  Intrinsic capacity of the MIMO wireless channel , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[13]  M. Migliore On the role of the number of degrees of freedom of the field in MIMO channels , 2006, IEEE Transactions on Antennas and Propagation.

[14]  Ran Gozali,et al.  Space-Time Codes for High Data Rate Wireless Communications , 2002 .

[15]  Michael A. Jensen,et al.  Experimental characterization of the MIMO wireless channel: data acquisition and analysis , 2003, IEEE Trans. Wirel. Commun..

[16]  M. Uzsoky,et al.  Theory of super-directive linear arrays , 1956 .

[17]  Partha P. Mitra,et al.  Tripling the capacity of wireless communications using electromagnetic polarization , 2001, Nature.

[18]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[19]  D. Miller,et al.  Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths. , 2000, Applied optics.

[20]  Anna Scaglione,et al.  Transmit antennae space-time block coding for generalized OFDM in the presence of unknown multipath , 2001, IEEE J. Sel. Areas Commun..

[21]  Reinaldo A. Valenzuela,et al.  Detection algorithm and initial laboratory results using V-BLAST space-time communication architecture , 1999 .

[22]  Arch W. Naylor,et al.  Linear Operator Theory in Engineering and Science , 1971 .