On the degrees of freedom of MIMO X channel with delayed CSIT

The multiple-input multiple-output (MIMO) Gaussian X channel in i.i.d. fading environment and with delayed channel state information at transmitters (delayed CSIT) is considered. It is assumed that each transmitter has M antennas and each receiver has N antennas. New achievable results on the sum degrees of freedom (DoF) of this channel are provided and shown to be tight for all possible values of M and N except for 1/2 <; N/M <; 4/3. It is noteworthy that for certain values of M and N, the channel DoF coincides with the DoF of the broadcast channel obtained by assuming perfect transmitter cooperation.

[1]  Amir K. Khandani,et al.  On the degrees of freedom of three-user MIMO broadcast channel with delayed CSIT , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[2]  Mahesh K. Varanasi,et al.  The degrees of freedom region of the two-user MIMO broadcast channel with delayed CSIT , 2010, 2011 IEEE International Symposium on Information Theory Proceedings.

[3]  Syed Ali Jafar,et al.  Exploiting Channel Correlations - Simple Interference Alignment Schemes with No CSIT , 2009, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[4]  Amir K. Khandani,et al.  Interference Alignment for the MIMO Interference Channel with Delayed Local CSIT , 2011, ArXiv.

[5]  Amir K. Khandani,et al.  Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis , 2008, IEEE Transactions on Information Theory.

[6]  Shlomo Shamai,et al.  On X-channels with feedback and delayed CSI , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[7]  Syed Ali Jafar,et al.  Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel , 2008, IEEE Transactions on Information Theory.

[8]  Mahesh K. Varanasi,et al.  The Degrees of Freedom Region and Interference Alignment for the MIMO Interference Channel With Delayed CSIT , 2011, IEEE Transactions on Information Theory.

[9]  Dongning Guo,et al.  The Degrees of Freedom of MIMO Interference Channels without State Information at Transmitters , 2010, ArXiv.

[10]  Mahesh K. Varanasi,et al.  The degrees of freedom region of the MIMO interference channel with delayed CSIT , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[11]  Mahesh K. Varanasi,et al.  The Degrees of Freedom Regions of MIMO Broadcast, Interference, and Cognitive Radio Channels with No CSIT , 2009, ArXiv.

[12]  Mohammad Ali Maddah-Ali,et al.  Completely Stale Transmitter Channel State Information is Still Very Useful , 2010, IEEE Transactions on Information Theory.

[13]  Shlomo Shamai,et al.  Retrospective interference alignment , 2010, 2011 IEEE International Symposium on Information Theory Proceedings.

[14]  Amir K. Khandani,et al.  On the degrees of freedom of X channel with delayed CSIT , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[15]  Shlomo Shamai,et al.  Degrees of Freedom Region of the MIMO $X$ Channel , 2008, IEEE Transactions on Information Theory.

[16]  Shlomo Shamai,et al.  On Degrees of Freedom Region of MIMO Networks without CSIT , 2009, ArXiv.

[17]  Syed Ali Jafar,et al.  Interference Alignment and the Degrees of Freedom of Wireless $X$ Networks , 2009, IEEE Transactions on Information Theory.

[18]  Amir K. Khandani,et al.  On the Degrees of Freedom of K-User SISO Interference and X Channels With Delayed CSIT , 2011, IEEE Transactions on Information Theory.