| タイトル | A Note on the Linear Programming Decoding of Binary Linear Codes for Multiple-Access Channel |
|---|---|
| 著者 | 堀井俊佑 、松嶋敏泰 、平澤茂一 |
| 年度 | 2011 |
| 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 | E94-A, no.6, pp.1230-1237 |
| 掲載年 | 2011 |
| 掲載月 | 6 |
| アブスト （日本語） |
査読：有 DOI: 10.1587/transfun.E94.A.1230 <a href="http://search.ieice.org/bin/summary.php?id=e94-a_6_1230&category=A&lang=&year=2011&abst="> IEICE page </a> |
| アブスト （英語） |
In this paper, we develop linear-programming (LP) decoding for multiple-access channels with binary linear codes. For single-user channels, LP decoding has attracted much attention in recent years as a good approximation to maximum-likelihood (ML) decoding. We demonstrate how the ML decoding problem for multiple-access channels with binary linear codes can be formulated as an LP problem. This is not straightforward, because the objective function of the problem is generally a non-linear function of the codeword symbols. We introduce auxiliary variables such that the objective function is a linear function of these variables. The ML decoding problem then reduces to the LP problem. As in the case for single-user channels, we formulate the relaxed LP problem to reduce the complexity for practical implementation, and as a result propose a decoder that has the desirable property known as the ML certificate property (i.e., if the decoder outputs an integer solution, the solution is guaranteed to be the ML codeword). Although the computational complexity of the proposed algorithm is exponential in the number of users, we can reduce this complexity for Gaussian multiple-access channels. Furthermore, we compare the performance of the proposed decoder with a decoder based on the sum-product algorithm. |
| 備考 （日本語） |
3 |
| 備考 （英語） |
3 |
| 論文原稿 | |
| 発表資料 |
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