...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Information Theory, IEEE Transactions on >The Degrees-of-Freedom of the $K$-User Gaussian Interference Channel Is Discontinuous at Rational Channel Coefficients
【24h】

The Degrees-of-Freedom of the $K$-User Gaussian Interference Channel Is Discontinuous at Rational Channel Coefficients

机译：$ K $用户高斯干扰通道的自由度在有理通道系数下是不连续的

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The degrees-of-freedom of a $K$-user Gaussian interference channel (GIC) has been defined to be the multiple of $(1/2)log_2 P$ at which the maximum sum of achievable rates grows with increasing power $P$. In this paper, we establish that the degrees-of-freedom of three or more user, real, scalar GICs, viewed as a function of the channel coefficients, is discontinuous at points where all of the coefficients are nonzero rational numbers. More specifically, for all $K > 2$, we find a class of $K$-user GICs that is dense in the GIC parameter space for which $K/2$ degrees-of-freedom are exactly achievable, and we show that the degrees-of-freedom for any GIC with nonzero rational coefficients is strictly smaller than $K/2$. These results are proved using new connections with number theory and additive combinatorics.
机译：$ K $用户的高斯干扰信道（GIC）的自由度已定义为$（1/2）log_2 P $的倍数，在该倍数下，可实现速率的最大总和随功率$ P的增加而增长$。在本文中，我们确定三个或三个以上用户，真实，标量GIC的自由度在所有系数均为非零有理数的点处是不连续的，被视为信道系数的函数。更具体地说，对于所有> 2 $的$ K，我们找到一类$ K $用户GIC，它们在GIC参数空间中是密集的，对于该值，$ K / 2 $自由度是完全可实现的，并且我们证明具有非零有理系数的GIC的自由度严格小于$ K / 2 $。使用与数论和加法组合的新联系证明了这些结果。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号