Diversity and Multiplexing Tradeoff in General Fading Channels

The optimal tradeoff between diversity gain and multiplexing gain for multiple-inputmultiple-output (MIMO) channels has been studied recently under the independent and identically distributed (i.i.d.) Rayleigh-fading assumption. In this correspondence, this result is extended and the optimal tradeoff performance is derived for generalized fading channel conditions, including different fading types, nonidentical fading distributions, spatial correlation, and nonzero channel means. Our results include many known models as special cases and shed light on the effects of different channel parameters on the optimal tradeoff performance

[1]  Stephen T. Hedetniemi,et al.  Towards a theory of domination in graphs , 1977, Networks.

[2]  Gregory A. Kabatiansky,et al.  Information hiding by coverings , 2003, Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674).

[3]  Marten van Dijk,et al.  Embedding Information in Grayscale Images , 2001 .

[4]  Lizhong Zheng,et al.  Diversity-multiplexing tradeoff in multiple-access channels , 2004, IEEE Transactions on Information Theory.

[5]  R. Muirhead Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[6]  H. Hashemi,et al.  The indoor radio propagation channel , 1993, Proc. IEEE.

[7]  M. Nakagami The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading , 1960 .

[8]  O. Antoine,et al.  Theory of Error-correcting Codes , 2022 .

[9]  Christos G. Christodoulou,et al.  Use of Weibull distribution for describing outdoor multipath fading , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[10]  A. Edelman Eigenvalues and condition numbers of random matrices , 1988 .

[11]  Gérard Cornuéjols,et al.  Balanced matrices , 2006, Discret. Math..

[12]  Oliver Henkel,et al.  Sphere-packing bounds in the Grassmann and Stiefel manifolds , 2003, IEEE Transactions on Information Theory.

[13]  Philip Schniter,et al.  On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels , 2005, IEEE Transactions on Information Theory.

[14]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[15]  Lizhong Zheng,et al.  Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel , 2002, IEEE Trans. Inf. Theory.

[16]  Josef A. Nossek,et al.  Fading correlations in wireless MIMO communication systems , 2003, IEEE J. Sel. Areas Commun..

[17]  Lizhong Zheng,et al.  The Diversity-Multiplexing Tradeoff for Non-Coherent Multiple Antenna Channels∗ , 2002 .

[18]  Chen-Nee Chuah,et al.  Capacity scaling in MIMO Wireless systems under correlated fading , 2002, IEEE Trans. Inf. Theory.

[19]  S. Pradhan,et al.  Diversity Gain Regions for MIMO Fading Broadcast and Multiple Access Channels , 2004 .

[20]  仲上 稔,et al.  The m-Distribution As the General Formula of Intensity Distribution of Rapid Fading , 1957 .

[21]  Gordon L. Stuber,et al.  Principles of Mobile Communication , 1996 .

[22]  Ali Abdi,et al.  A space-time correlation model for multielement antenna systems in mobile fading channels , 2002, IEEE J. Sel. Areas Commun..

[23]  Norman C. Beaulieu,et al.  Performance of digital linear modulations on Weibull slow-fading channels , 2004, IEEE Transactions on Communications.

[24]  Giuseppe Caire,et al.  Lattice coding and decoding achieve the optimal diversity-multiplexing tradeoff of MIMO channels , 2004, IEEE Transactions on Information Theory.

[25]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[26]  Jessica J. Fridrich,et al.  On Steganographic Embedding Efficiency , 2006, Information Hiding.

[27]  N. H. Shepherd,et al.  Radio wave loss deviation and shadow loss at 900 MHz , 1976, IEEE Transactions on Vehicular Technology.

[28]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[29]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[30]  Andrea J. Goldsmith,et al.  Capacity limits of MIMO channels , 2003, IEEE J. Sel. Areas Commun..

[31]  Lin Dai,et al.  Optimal diversity-multiplexing tradeoff with group detection for MIMO systems , 2005, IEEE Transactions on Communications.