Diversity gain region for MIMO fading broadcast channels

In this work, we introduce the notion of the diversity gain region for a multiuser channel. This region specifies the set of diversity-gain vectors that are simultaneously achievable by all users in the multiuser channel. This is done by associating different probabilities of error for different users, contrary to the traditional approach where a single probability of system error is considered. We derive an inner bound (achievable region) and an outer bound for the diversity gain region of a MIMO fading broadcast channel.

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

[2]  Achilleas Anastasopoulos,et al.  Error exponent region for Gaussian multiple access channels , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[3]  Shlomo Shamai,et al.  The capacity region of the Gaussian MIMO broadcast channel , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[4]  Lizhong Zheng,et al.  Diversity-multiplexing tradeoff for multiaccess channels , 2003, IEEE International Symposium on Information Theory, 2003. Proceedings..

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

[6]  Mohsen Sarraf,et al.  W-CDMA and cdma2000 for 3G Mobile Networks , 2002 .

[7]  Shlomo Shamai,et al.  Fading Channels: Information-Theoretic and Communication Aspects , 1998, IEEE Trans. Inf. Theory.

[8]  T. Rappaport Wireless Communications: Principles and Practice , 1996 .

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

[10]  Robert G. Gallager,et al.  A perspective on multiaccess channels , 1984, IEEE Trans. Inf. Theory.

[11]  János Körner,et al.  Universally attainable error exponents for broadcast channels with degraded message sets , 1980, IEEE Trans. Inf. Theory.

[12]  Hiroshi Sato,et al.  An outer bound to the capacity region of broadcast channels (Corresp.) , 1978, IEEE Trans. Inf. Theory.

[13]  Patrick P. Bergmans,et al.  A simple converse for broadcast channels with additive white Gaussian noise (Corresp.) , 1974, IEEE Trans. Inf. Theory.

[14]  Elwyn R. Berlekamp,et al.  Lower Bounds to Error Probability for Coding on Discrete Memoryless Channels. II , 1967, Inf. Control..

[15]  G. A. Barnard,et al.  Transmission of Information: A Statistical Theory of Communications. , 1961 .

[16]  C. Shannon Probability of error for optimal codes in a Gaussian channel , 1959 .

[17]  Amiel Feinstein,et al.  Error bounds in noisy channels without memory , 1955, IRE Trans. Inf. Theory.

[18]  Achilleas Anastasopoulos,et al.  Error Exponent Region for Gaussian Broadcast Channels , 2004 .

[19]  N. Sloane,et al.  Lower Bounds to Error Probability for Coding on Discrete Memoryless Channels. I , 1993 .

[20]  Robert G. Gallager,et al.  A simple derivation of the coding theorem and some applications , 1965, IEEE Trans. Inf. Theory.

[21]  Broadcast Channels , 2022 .