The multiple-input multiple-output (MIMO) X
channel with rank-deficient channels is considered. We characterize
the total degrees of freedom (DoF) by defining an outer
bound which is attained by the proposed precoding scheme. The
total DoF are described in closed-form when all transmitters and
receivers have M and N antennas, respectively. For an arbitrary
number of antennas, the total DoF are obtained as solution of
a linear programming problem. Results elucidate that, unlike
point-to-point MIM...
The multiple-input multiple-output (MIMO) X
channel with rank-deficient channels is considered. We characterize
the total degrees of freedom (DoF) by defining an outer
bound which is attained by the proposed precoding scheme. The
total DoF are described in closed-form when all transmitters and
receivers have M and N antennas, respectively. For an arbitrary
number of antennas, the total DoF are obtained as solution of
a linear programming problem. Results elucidate that, unlike
point-to-point MIMO systems where DoF increase with the rank
of the channel, the total DoF in a multipoint-to-multipoint MIMO
system can increase up to a certain point if channels are rankdeficient.
Hence, we corroborate the relevance of knowing the
rank-deficiency in the MIMO X channel, a property already
observed in the MIMO Interference channel.
The multiple-input multiple-output (MIMO) X
channel with rank-deficient channels is considered. We characterize the total degrees of freedom (DoF) by defining an outer
bound which is attained by the proposed precoding scheme. The total DoF are described in closed-form when all transmitters and
receivers have M and N antennas, respectively. For an arbitrary number of antennas, the total DoF are obtained as solution of a linear programming problem. Results elucidate that, unlike point-to-point MIMO systems where DoF increase with the rank
of the channel, the total DoF in a ultipoint-to-multipoint MIMO system can increase up to a certain point if channels are ankdeficient.
Hence, we corroborate the relevance of knowing the rank-deficiency in the MIMO X channel, a property already observed in the MIMO Interference channel.
Citation
Agustin, A.; Vidal, J. Degrees of freedom of the rank-deficient MIMO X channel. A: IEEE Information Theory Workshop. "Proceedings of the ITW 2013". Sevilla: 2013.