一种基于格理论构造高维星座图的方法

发布时间：2018-03-10 10:03

本文选题：高维星座图　切入点：格　出处：《电子学报》2014年09期 　论文类型：期刊论文

【摘要】：星座图的增益指数是格理论中的一个术语,它可以分解成格的编码增益和星座图边界的成形增益.本文将最大化星座图增益指数的过程构造为一系列优化问题,并将星座图的几何特性作为优化问题的约束条件.由于可通过求解优化问题来得到所需的星座图,因此本文的方法可以作为一种构造高维星座图的通用方法.相比现有算法均只适用于星座点个数较少的情况,本文方法可以简便地构造星座点数目较大的高维星座图.仿真结果显示出:在星座点数目较少时,由本文方法所构造的星座图的误符号率性能与最优值十分接近;而当星座点数目较多时,本文构造的星座图较传统基于整数格的星座图具有更低的误符号率.
[Abstract]:The gain exponent of constellation graph is a term in lattice theory, which can be decomposed into the coding gain of lattice and the shaping gain of constellation graph boundary. In this paper, the process of maximizing the gain exponent of constellation graph is constructed as a series of optimization problems. The geometric characteristic of constellation diagram is taken as the constraint condition of the optimization problem, because the required constellation diagram can be obtained by solving the optimization problem. Therefore, the method in this paper can be used as a general method to construct high-dimensional constellation graph. Compared with the existing algorithms, it can only be used in the case of fewer constellation points. The simulation results show that when the number of constellation points is small, the symbol error rate performance of the constellation diagram constructed by this method is very close to the optimal value. When the number of constellation points is large, the constellation graph constructed in this paper has a lower symbol error rate than the traditional constellation graph based on integer lattice.
【作者单位】：复旦大学信息科学与工程学院;上海无线电设备研究所;
【基金】：国家自然科学基金(No.61171127)
【分类号】：TN911.3

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