@inProceedings{
 title = {Interference alignment in single-beam MIMO networks via homotopy continuation},
 type = {inProceedings},
 year = {2011},
 identifiers = {[object Object]},
 pages = {3344-3347},
 month = {5},
 publisher = {IEEE},
 city = {Prague, Czech Republic},
 id = {906add38-bcac-3b4f-8de5-5273470af563},
 created = {2013-09-05T18:21:00.000Z},
 accessed = {2013-09-05},
 file_attached = {true},
 profile_id = {94423145-43b4-3a69-afe5-fff91849da62},
 last_modified = {2014-09-09T22:15:52.000Z},
 tags = {homotopy},
 read = {true},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {Gonzalez2011},
 short_title = {Acoustics, Speech and Signal Processing (ICASSP),},
 abstract = {In this paper we consider the application of a homotopy-continuation based method for finding interference alignment (IA) solutions for the deterministic K-user multiple-input multiple-output (MIMO) channel, when all users wish to send one stream of data. Homotopy continuation is based on the idea of deforming a start system, whose solution can easily be found, to reach the target system that we want to solve. For the IA problem we show that a good initial system is obtained by considering a rank-one approximation of the original MIMO interference channels. Specifically, as long as the original system is feasible, a rank-one approximation of the MIMO channels allow us to find a closed-form interference-free solution. The proposed algorithm is shown to have a lower complexity than previous methods with comparable sum-rate performance. Furthermore, it is also shown that the trivial system (rank-one MIMO channels) and target system (full-rank MIMO channels) have exactly the same number of solutions. Exploiting this equivalence, an efficient method to enumerate all the IA solutions that exist in a single-beam MIMO network is proposed.},
 bibtype = {inProceedings},
 author = {González, Óscar and Santamaría, Ignacio},
 booktitle = {IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}
}

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