Three-User Mimo Broadcast Channel with Delayed Csit: A Higher Achievable DoF

Degrees of freedom (DoF) of the three-user multiple-input multiple-output (MIMO) broadcast channel (BC) with delayed CSIT was derived for most antenna configurations except for the case of $2N < M < 3N$, where transmitter has $M$ antennas and each receiver has $N$ antennas. In this paper, for that problem, we propose an effective scheme for acquiring a higher achievable DoF than the value via existing methods. In the initial transmission phase, we transmit more data symbols than the amount that the receivers can instantaneously decode. Then, we generate auxiliary symbols for decoding the data symbols. Specifically, our scheme introduces an integrated design for the generation of auxiliary symbols. As a result, a higher achievable DoF, i.e., $\frac{12MN}{7M+2N}$, can be achieved for specific antenna configurations, where $2N < M < 2.5N$.

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

[2]  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.

[3]  Robert W. Heath,et al.  Distributed Space–Time Interference Alignment With Moderately Delayed CSIT , 2015, IEEE Transactions on Wireless Communications.

[4]  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.

[5]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.

[6]  Sina Lashgari,et al.  Fundamental Impacts Of Delay And Deadline On Communications Over Wireless Networks , 2016 .

[7]  Mohammad Javad Abdoli Hoseinabadi,et al.  Feedback and Cooperation in Wireless Networks , 2012 .

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

[9]  Shlomo Shamai,et al.  Retrospective Interference Alignment Over Interference Networks , 2012, IEEE Journal of Selected Topics in Signal Processing.

[10]  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.

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

[12]  Weifeng Su,et al.  On the Degrees of Freedom of MIMO X Networks With Non-Cooperation Transmitters , 2016, IEEE Transactions on Wireless Communications.

[13]  Amir Salman Avestimehr,et al.  Linear Degrees of Freedom of the $X$ -Channel With Delayed CSIT , 2013, IEEE Transactions on Information Theory.

[14]  Mahesh K. Varanasi,et al.  The Degrees of Freedom Regions of Two-User and Certain Three-User MIMO Broadcast Channels with Delayed CSIT , 2010, 1101.0306.

[15]  Wei Zhang,et al.  Interference Alignment With Asymmetric Complex Signaling on MIMO X Channels , 2014, IEEE Transactions on Communications.

[16]  Syed Ali Jafar,et al.  Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[17]  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.

[18]  Wei Zhang,et al.  On Degrees of Freedom Region of Three-User MIMO Interference Channels , 2015, IEEE Trans. Signal Process..

[19]  Syed Ali Jafar,et al.  Interference Alignment With Asymmetric Complex Signaling—Settling the Høst-Madsen–Nosratinia Conjecture , 2009, IEEE Transactions on Information Theory.

[20]  Tong Zhang,et al.  Interference alignment on MIMO X channel with synergistic CSIT , 2017, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).