eprintid: 429
rev_number: 4
eprint_status: archive
userid: 5
dir: disk0/00/00/04/29
datestamp: 2011-03-25
lastmod: 2013-07-01 14:06:21
status_changed: 2013-07-01 14:06:21
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Martini, Anna
creators_name: Franceschetti, Massimo
creators_name: Massa, Andrea
title: Physical limits to the capacity of wide-band Gaussian MIMO channels
ispublished: pub
subjects: TU
full_text_status: public
keywords: Multiple-input multiple-output (MIMO), ultra-wide band (UWB), physical channel modeling, frequency diversity, space diversity
abstract: In this letter a physical limit to the information capacity of a multiple-input multiple-output (MIMO) Gaussian channel is presented exploiting the theory of non-redundant sampling of scattered fields. For a MIMO narrow-band system of arbitrarily large spatial extension, the information capacity limit is the same as the one for a single-input single-output (SISO) ultra-wide band (UWB) system. For MIMO systems of finite size, wide band transmission, and absence of channel state information, space and frequency diversities can be optimally combined by allocating the signal power uniformly across space, and increasing linearly across frequency. (c) 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
date: 2009-07
date_type: published
institution: University of Trento
department: informaticat
refereed: TRUE
referencetext: [1] A. Goldsmith, S. A. Jafar, N. Jindal, S. Vishwanath. “Capacity limits of MIMO channels.” Journal on Selected Areas in Communications, 21(5), 684–702, June 2003. [2] M. A. Jensen and J. Wallace, “A Review of Antennas and Propagation for MIMO Wireless Communications.” IEEE Trans. Antennas Propag., 52(11), 2810-2824, Nov. 2004. [3] I. E. Telatar, “Capacity of Multi-Antenna Gaussian Channels.” European Trans. on Telecommunications, 10(6), 585-595, Nov./Dec. 1999. [4] D. N. C. Tse and P. Viswanath, Fundamentals of Wireless Communication, Cambridge University Press, 2005. [5] D. W. Browne, M. Manteghi, M. P. Fitz, and Y. Rahmat-Samii. “Experiments With Compact Antenna Arrays for MIMO Radio Communications,” IEEE Trans. Antennas and Propagation, 54(11), pp. 3239-3250, Nov. 2006. [6] P. Almers, E. Bonek, A. Burr, N. Czink, M. Debbah, V. Degli Esposti, H. Hofstetter, P. Ky¨osti, D. Laurenson, G. Matz, A.F. Molisch, C. Oestges, H. ¨ozcelik, “Survey of channel and radio propagation models for wireless MIMO systems.” EURASIP Journal on Wireless Communications and Networking, 2007. [7] M. Chiani, M. Win, A. Zanella. “On the capacity of spatially correlated MIMO Rayleigh-fading channels.” IEEE Trans. Inform. Theory, 49(10), pp. 2363- 2371, Oct. 2003. [8] H. Shin, J. H. Lee “Capacity of multiple-antenna fading channels: Spatial fading correlation, double scattering, and keyhole.” IEEE Trans. Inform. Theory, 49(10), pp. 2636- 2647, Oct. 2003. [9] C. Chuah, D. Tse, J. Kahn and R. Valenzuela, ”Capacity Scaling in MIMO Wireless Systems under Correlated Fading”, IEEE Trans. on Information Theory, vol. 48(3), March 2002, pp. 637-650. [10] D. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, “Fading Correlation and its Effect on the Capacity of Multielement Antennas System.” IEEE Trans. Commun., 48(3), 502-513, Mar. 2000. [11] M. Franceschetti and K. Chakraborty, “Maxwell meets Shannon: space-time duality in multiple antenna channels.” Fourtyfourth Allerton Conference on Communication Computing and Control, Monticello, Illinois, 2006. [12] M. Franceschetti and K. Chakraborty, “Space-time duality in multiple antenna channels.” IEEE Trans. Wireless Comm. Under review. [13] N. Goodman. “MIMO channel rank via the aperture-bandwidth product.” IEEE Trans. Wireless Comm. 6(6), 2246–2254, June 2007. [14] L. W. Hanlen and M. Fu, “Wireless communication systems with spatial diversity: a volumetric approach,” Proc. of the IEEE International Conference on Communications, (ICC 2003), 2673–2677, vol. 4, May 2003. [15] L. W. Hanlen and M. Fu, “Capacity of MIMO channels: a volumetric approach,” Proc. of the IEEE International Conference on Communications, (ICC 2003), 3001–3005, vol. 5, May 2003. [16] L. Hanlen and T. D. Abhayapala, “Space-time-frequency degrees of freedom: fundamental limits for spatial information”, Proc. of the IEEE International Symposium on Information Theory (ISIT 2007), pp. 701-705, June 2007. [17] R. A. Kennedy, P. Sadeghi, T. D. Abhayapala, and H. Jones, “Intrinsic limits of dimensionality and richness in random multipath fields”, IEEE Trans. Signal Processing, 55(6), 2542-2556, Jun. 2007. [18] M. D. Migliore, “On the Role of the Number of Degrees of Freedom of the Field in MIMO Channels.” IEEE Trans. Antennas Propag., 54(2), 620-628, Feb. 2006. [19] D. A. B. Miller, “Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths,” Appl. Optics, 39(11): 1681–1699, Apr 2000. [20] T. S. Pollock, T. D. Abhayapala and R. A. Kennedy, “Spatial Limits to MIMO Capacity in General Scattering Environments,” Proc. of the 7th International Symposium on DSP for Communication Systems (DSPCS03), pp 49-54, Dec 2003. [21] A. S. Y. Poon, R. W. Brodersen, and D. N. C. Tse, “Degrees of Freedom in Multiple-Antenna Channels: a Signal Space Approach.” IEEE Trans. Inform. Theory, 51(2), 523-536, Feb. 2005. [22] A. S. Y. Poon, R. W. Brodersen, and D. N. C. Tse, “Impact of Scattering on the Capacity, Diversity, and Propagation Range of Multiple-Antenna Channels.” IEEE Trans. Inform. Theory, 52(3), 1087-1100, Mar. 2006. [23] A. M. Sayeed, “Deconstructing multiantenna fading channels,” IEEE Trans. Signal Processing, 50(10): 2563-2579, Oct. 2002. [24] J. W. Wallace and M. A. Jensen, “Intrinsic capacity of the MIMO wireless channel,” Proc. of the IEEE Vehicular Technology Conference (VTC 2002), vol. 2, pp. 701–705, Vancouver, CA, Sep. 2002. [25] O. M. Bucci and G. Franceschetti, “On the Spatial Bandwidth of Scattered Fields.” IEEE Trans. Antennas Propag., 35(12), 1445-1455, Dec. 1987. [26] O. M. Bucci and G. Franceschetti, “On the Degrees of Freedom of Scattered Fields.” IEEE Trans. Antennas Propag., 37(7), 918-926, Jul. 1989. [27] O. M. Bucci, C. Gennarelli, and C. Savarese, “Representation of Electromagnetic Fields over Arbitrary Surfaces by a Finite and Nonreduntant Number of Samples.”IEEE Trans. Antennas Propag., 46(3), 351-359, Mar. 1998. [28] T. M. Cover and J. A. Thomas, “Elements of Information Theory.” John Wiley & Sons, New York, 1991. [29] M. J. Forray, “Variational Calculus in Science and Engineering.” McGraw-Hill Book Company, New York, 1968. [30] R. Gallager. “Energy limited channels: coding, multiaccess, and spread spectrum. MIT, Tech Rep. LIDS-P-1714, 1987.
citation:   Martini, Anna and Franceschetti, Massimo and Massa, Andrea  (2009) Physical limits to the capacity of wide-band Gaussian MIMO channels.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/429/1/DISI-11-018.R177.pdf