On the throughput of wireless interference networks with limited feedback

Considering a single-antenna M-user interference channel with symmetrically distributed channel gains, when the channel state information (CSI) is globally available, applying the ergodic interference alignment scheme, each transmitter-receiver pair achieves a rate proportional to ½ of a single user's interference-free achievable rate. This is substantially higher than the achievable rate of the conventional orthogonal transmission schemes such as TDMA. Since the rigid requirement on the CSI may be difficult to realize in practice, in this paper we investigate the performance of applying the ergodic interference alignment scheme when the estimation of each channel gain is made globally known through exploiting only a limited feedback signal from the associated receiver of that channel. Under a block fading environment, we provide a lower bound on the achievable average throughput of the network. Our results imply that the better performance of interference alignment over TDMA may still exist even without the assumption of perfect CSI. Also, the trade off between allocating feedback rate of each receiver to the desired channel or the interference channels at deferent SNR region investigated.

[1]  Michael Gastpar,et al.  Ergodic Interference Alignment , 2012, IEEE Trans. Inf. Theory.

[2]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[3]  Gerhard Kramer,et al.  Outer bounds on the capacity of Gaussian interference channels , 2004, IEEE Transactions on Information Theory.

[4]  David L. Neuhoff,et al.  Quantization , 2022, IEEE Trans. Inf. Theory.

[5]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[6]  C. L. Mallows,et al.  Inequalities of Chebyshev Type Involving Conditional Expectations , 1969 .

[7]  A. Sripad,et al.  A necessary and sufficient condition for quantization errors to be uniform and white , 1977 .

[8]  Helmut Bölcskei,et al.  Interference alignment with limited feedback , 2009, 2009 IEEE International Symposium on Information Theory.

[9]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[10]  René Henrion,et al.  On constraint qualifications , 1992 .

[11]  Mahesh K. Varanasi,et al.  Interference Alignment Under Limited Feedback for MIMO Interference Channels , 2013, IEEE Transactions on Signal Processing.

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

[13]  Joel Max,et al.  Quantizing for minimum distortion , 1960, IRE Trans. Inf. Theory.

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