Information Rates for Multiantenna Systems With Unknown Fading

This paper presents analytical upper and lower bounds on the information rate of a multiuser Rayleigh fading channel with no channel state information (CSI) at the transmitters or the receivers. These bounds are shown to converge whenever an individual user's data rate is small compared with the bandwidth, e.g., when users can employ CDMA. The amount of spreading required for a given degree of convergence depends on the number of receive antennas. The number of users can be sufficient for the aggregate spectral density to be large. The paper presents exact analytical expressions for the information rates of both the block fading and the continuous correlated fading channel models in this regime. Finally, the results are extended to more general channel models.

[1]  Bruce E. Hajek,et al.  Low SNR Capacity of Fading Channels with Peak and Average Power Constraints , 2006, 2006 IEEE International Symposium on Information Theory.

[2]  Bruce E. Hajek,et al.  Broad-band fading channels: Signal burstiness and capacity , 2002, IEEE Trans. Inf. Theory.

[3]  Thomas L. Marzetta,et al.  Unitary space-time modulation for multiple-antenna communications in Rayleigh flat fading , 2000, IEEE Trans. Inf. Theory.

[4]  Amos Lapidoth,et al.  The fading number of single-input multiple-output fading channels with memory , 2006, IEEE Transactions on Information Theory.

[5]  Teng Li,et al.  Design and Analysis of Successive Decoding With Finite Levels for the Markov Channel , 2009, IEEE Transactions on Information Theory.

[6]  Babak Hassibi,et al.  High-rate codes that are linear in space and time , 2002, IEEE Trans. Inf. Theory.

[7]  Robert M. Gray,et al.  On the asymptotic eigenvalue distribution of Toeplitz matrices , 1972, IEEE Trans. Inf. Theory.

[8]  Shlomo Shamai,et al.  Worst-case power-constrained noise for binary-input channels , 1992, IEEE Trans. Inf. Theory.

[9]  Yingbin Liang,et al.  Capacity of noncoherent time-selective Rayleigh-fading channels , 2004, IEEE Transactions on Information Theory.

[10]  Teng Li,et al.  A Successive Decoding Strategy for Channels With Memory , 2005, IEEE Transactions on Information Theory.

[11]  Sergio Verdú,et al.  Spectral efficiency in the wideband regime , 2002, IEEE Trans. Inf. Theory.

[12]  Amos Lapidoth,et al.  Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels , 2003, IEEE Trans. Inf. Theory.

[13]  Amos Lapidoth,et al.  On the asymptotic capacity of stationary Gaussian fading channels , 2005, IEEE Transactions on Information Theory.

[14]  Thomas L. Marzetta,et al.  Systematic design of unitary space-time constellations , 2000, IEEE Trans. Inf. Theory.

[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]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[17]  Bruce E. Hajek,et al.  Capacity per unit energy of fading channels with a peak constraint , 2003, IEEE Transactions on Information Theory.

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

[19]  Shyam Ranganathan,et al.  Calculating and Achieving Capacity on the Unknown Fading MIMO Channel , 2006, 2006 IEEE International Symposium on Information Theory.

[20]  Emre Telatar,et al.  Capacity and mutual information of wideband multipath fading channels , 1998, IEEE Trans. Inf. Theory.

[21]  Teng Li,et al.  Capacity and coding for flat fading channels without channel state information , 2005, IEEE Wireless Communications and Networking Conference, 2005.

[22]  Thomas L. Marzetta,et al.  Capacity of a Mobile Multiple-Antenna Communication Link in Rayleigh Flat Fading , 1999, IEEE Trans. Inf. Theory.