| タイトル | A Note on the Branch-and-Cut Approach to Decoding Linear Block Codes |
|---|---|
| 著者 | 堀井俊佑 、松嶋敏泰 、平澤茂一 |
| 年度 | 2010 |
| 形式 | 論文誌 |
| 分野 | 通信路符号化 |
| 掲載雑誌名 | IEICE Trans. Fundamentals |
| 掲載号・ページ | vol.E93-A, no.11, pp.912-1917 |
| 掲載年 | 2010 |
| 掲載月 | 11 |
| アブスト （日本語） |
査読：有 DOI: DOI: 10.1587/transfun.E93.A.1912 |
| アブスト （英語） |
Maximum likelihood (ML) decoding of linear block codes can be considered as an integer linear programming (ILP). Since it is an NP-hard problem in general, there are many researches about the algorithms to approximately solve the problem. One of the most popular algorithms is linear programming (LP) decoding proposed by Feldman et al.. LP decoding is based on the LP relaxation, which is a method to approximately solve the ILP corresponding to the ML decoding problem. Advanced algorithms for solving ILP (approximately or exactly) include cutting-plane method and branch-and-bound method. As applications of these methods, adaptive LP decoding and branch-and-bound decoding have been proposed by Taghavi et al. and Yang et al., respectively. Another method for solving ILP is the branch-and-cut method, which is a hybrid of cutting-plane and branch-and-bound methods. %In this paper, we describe the branch-and-cut based ML decoding algorithm. The branch-and-cut method is widely used to solve ILP, however, it is unobvious that the method works well for the ML decoding problem. In this paper, we show that the branch-and-cut method is certainly effective for the ML decoding problem. Furthermore the branch-and-cut method consists of some technical components and the performance of the algorithm depends on the selection of these components. It is important to consider how to select the technical components in the branch-and-cut method. %We construct a generalized framework for the branch-and-cut based ML decoding and compare some algorithms with numerical simulations. We see the differences caused by the selection of those technical components and consider which scheme is most effective for the ML decoding problem through numerical simulations. |
| 備考 （日本語） |
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| 備考 （英語） |
3 |
| 論文原稿 | |
| 発表資料 |
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