On a Mutual Information and a Capacity Bound Gap of Pilot-Aided MIMO Channels

Author(s):  
Adriano Pastore ◽  
Michael Joham ◽  
Javier Rodriguez Fonollosa
Author(s):  
Nguyen N. Tran ◽  
Ha X. Nguyen

A capacity analysis for generally correlated wireless multi-hop multi-input multi-output (MIMO) channels is presented in this paper. The channel at each hop is spatially correlated, the source symbols are mutually correlated, and the additive Gaussian noises are colored. First, by invoking Karush-Kuhn-Tucker condition for the optimality of convex programming, we derive the optimal source symbol covariance for the maximum mutual information between the channel input and the channel output when having the full knowledge of channel at the transmitter. Secondly, we formulate the average mutual information maximization problem when having only the channel statistics at the transmitter. Since this problem is almost impossible to be solved analytically, the numerical interior-point-method is employed to obtain the optimal solution. Furthermore, to reduce the computational complexity, an asymptotic closed-form solution is derived by maximizing an upper bound of the objective function. Simulation results show that the average mutual information obtained by the asymptotic design is very closed to that obtained by the optimal design, while saving a huge computational complexity.


2003 ◽  
Vol 51 (11) ◽  
pp. 2784-2795 ◽  
Author(s):  
O. Oyman ◽  
R.U. Nabar ◽  
H. Bolcskei ◽  
A.J. Paulraj

2013 ◽  
Vol 694-697 ◽  
pp. 2564-2567
Author(s):  
Mang Liao ◽  
Meng Xing Wang ◽  
Ling Xu Jin

In information theory (IT), it is an open problem for thirty years to establish an entire capacity bound of two-user Gaussian weak interference network. Under the assumption that channel situation information (CSI) is known at transmitter, we analyze the effects of three methods of transmitter preprocessing on performance of weak interference MIMO channels. Due to treat weak interference as noise, the bounds on the capacity region of two-user Gaussian weak interference channels (ICs) with the three transmitter preprocessing methods are derived. Compared with the performance without transmitter preprocessing, the sum rate in our system is larger. Finally the simulation results are proposed to be consistent with the theorem.


2011 ◽  
Vol 10 (6) ◽  
pp. 1754-1763 ◽  
Author(s):  
Caijun Zhong ◽  
Shi Jin ◽  
Kai-Kit Wong ◽  
Matthew R. McKay

2009 ◽  
Vol 55 (8) ◽  
pp. 3725-3734 ◽  
Author(s):  
Charalambos D. Charalambous ◽  
Stojan Z. Denic ◽  
Costas Constantinou

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