{"paper":{"title":"On the Success Probability of the Box-Constrained Rounding and Babai Detectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chintha Tellambura, Jinming Wen, Xiao-Wen Chang","submitted_at":"2017-04-20T03:57:48Z","abstract_excerpt":"In communications, one frequently needs to detect a parameter vector $\\hbx$ in a box from a linear model. The box-constrained rounding detector $\\x^\\sBR$ and Babai detector $\\x^\\sBB$ are often used to detect $\\hbx$ due to their high probability of correct detection, which is referred to as success probability, and their high efficiency of implimentation. It is generally believed that the success probability $P^\\sBR$ of $\\x^\\sBR$ is not larger than the success probability $P^\\sBB$ of $\\x^\\sBB$. In this paper, we first present formulas for $P^\\sBR$ and $P^\\sBB$ for two different situations: $\\hb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05998","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"}