{ "id": "math/0101134", "version": "v1", "published": "2001-01-16T19:47:37.000Z", "updated": "2001-01-16T19:47:37.000Z", "title": "Performance evaluation of modulation methods: a combinatorial approach", "authors": [ "Daniel Krob", "Ekaterina Vassilieva" ], "comment": "14 pages Submitted to Formal Power Series and Algebraic Combinatorics 2001", "categories": [ "math.CO" ], "abstract": "This paper is devoted to the presentation of a combinatorial approach for analyzing the performance of an important modulation protocol used in mobile telecommunications. We show in particular that a fundamental formula, in this context, is in fact highly connected with a slight modification of a very classical algorithm of Knuth that realizes a bijection between pairs of Young tableaux of conjugated shapes and $\\{0,1\\}$-matrices. These new considerations allowed us to obtain the very first results with respect to important specializations (for practical applications) of the performance analysis formula that we studied.", "revisions": [ { "version": "v1", "updated": "2001-01-16T19:47:37.000Z" } ], "analyses": { "subjects": [ "05E10", "68M20" ], "keywords": [ "combinatorial approach", "performance evaluation", "modulation methods", "performance analysis formula", "important modulation protocol" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......1134K" } } }