On the Symbol Error Probability of Regular Polytopes

Agrell E.; Karlsson M.

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On the Symbol Error Probability of Regular Polytopes

机译：正则多态的符号错误概率

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摘要

An exact expression is derived for the symbol error probability when the vertices of the four-dimensional 24-cell are used for digital transmission in Gaussian noise. Corresponding expressions for other regular convex polytopes are summarized. Numerically stable versions of these error probabilities are also obtained.

机译：当将二维24单元的顶点用于高斯噪声中的数字传输时，可以得出针对符号错误概率的精确表达式。总结了其他规则凸多面体的对应表达式。还获得了这些错误概率的数值稳定版本。

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来源
《Information Theory, IEEE Transactions on》 |2011年第6期|p.3411-3415|共5页
作者
Agrell E.; Karlsson M.;
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作者单位

Dept. of Signals and Systems, Chalmers Univ. of Technology, Göteborg, Sweden;

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原文格式 PDF
正文语种 eng
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关键词
24-cell; Convex polytopes; Voronoi cell; modulation; symbol error rate;

机译：24细胞;凸多表位;Voronoi细胞;调制;符号错误率;

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专利

1. Extensions of regular polytopes with preassigned Schlafli symbol [J] . Pellicer D Journal of Combinatorial Theory, Series A . 2009,第2期

机译：具有预先指定的Schlafli符号的常规多面体的扩展
2. Minimum Symbol-Error Probability Symbol-Level Precoding With Intelligent Reflecting Surface [J] . Shao Mingjie, Li Qiang, Ma Wing-Kin Wireless Communications Letters, IEEE . 2020,第10期

机译：智能反射表面的最小符号误差概率符号级预编码
3. Error probability of Q-ary symbol consisting of multiple channel symbols under Rayleigh fading [J] . Kwonhue Choi IEEE communications letters . 2004,第1期

机译：瑞利衰落下由多个信道符号组成的Q元符号的错误概率
4. Effect of the phase error, quadrature error, and I-Q gain mismatch on symbol error probability for an M-PSK system in fading channels [C] . Park, S., Byung Wook Lee, Personal, Indoor and Mobile Radio Communications, 2004. PIMRC 2004. 15th IEEE International Symposium on . 2004

机译：衰落信道中M-PSK系统的相位误差，正交误差和I-Q增益失配对符号误差概率的影响
5. Recovering regular triangulations of convex polytopes [D] . Weber, Wendy Ann 1999

机译：恢复凸多面体的规则三角剖分
6. Closed-Form Expression for the Symbol Error Probability in Full-Duplex Spatial Modulation Relay System and Its Application in Optimal Power Allocation [O] . Le Van Nguyen, Ba Cao Nguyen, Xuan Nam Tran, 2019

机译：全双工空间调制继电器系统中符号误差概率的闭合表达及其在最优功率分配中的应用
7. On the symbol error probability of regular polytopes [O] . Agrell, Erik, Karlsson, Magnus 2011

机译：正则多义词的符号错误概率

On the Symbol Error Probability of Regular Polytopes

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