{"paper":{"title":"Replication-based Outer bounds and the Optimality of \"Half the Cake\" for Rank-Deficient MIMO Interference Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bofeng Yuan, Hua Sun, Syed A. Jafar","submitted_at":"2015-10-20T00:08:45Z","abstract_excerpt":"In order to gain new insights into MIMO interference networks, the optimality of $\\sum_{k=1}^K M_k/2$ (half the cake per user) degrees of freedom is explored for a $K$-user multiple-input-multiple-output (MIMO) interference channel where the cross-channels have arbitrary rank constraints, and the $k^{th}$ transmitter and receiver are equipped with $M_k$ antennas each. The result consolidates and significantly generalizes results from prior studies by Krishnamurthy et al., of rank-deficient interference channels where all users have $M$ antennas, and by Tang et al., of full rank interference ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05725","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}