On existence of power controls for Massive MIMO

For a general multicell Massive MIMO network, we obtain easily verifiable conditions for the existence of power controls that meet given down-link and up-link per access terminal SINR requirements. Surprisingly, some loosely constructed sufficient conditions that guarantee the existence of power controls become necessary in the single cell case, whose “max-min” SINR problems are then easily solved.

[1]  Thomas L. Marzetta,et al.  Capacity performance of multicell large-scale antenna systems , 2013, 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[2]  Michelle Wilde.  IEEE Xplore Digital Library , 2016 .

[3]  E. Seneta.  Non-negative Matrices and Markov Chains , 2008 .

[4]  Thomas L. Marzetta,et al.  Noncooperative Cellular Wireless with Unlimited Numbers of Base Station Antennas , 2010, IEEE Transactions on Wireless Communications.

[5]  Slawomir Stanczak,et al.  Fundamentals of Resource Allocation in Wireless Networks - Theory and Algorithms (2. ed.) , 2009, Foundations in Signal Processing, Communications and Networking.