极化-MDCSK系统上限的封闭式表达式
Meiyuan Miao1, Lin Wang2, Weikai Xu2
1School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China.
Entropy (Basel, Switzerland)
|September 28, 2023
概括
本研究介绍了对偏振M-ary微分混沌转换 (P-MDCSK) 错误概率的近似闭式表达式. 新方法简化了性能分析,显示了与模拟的最小偏差.
科学领域:
- 电气工程 电气工程
- 信息理论 信息理论
- 无线通信无线通信
背景情况:
- 对偏振M-ary差异混沌转移键 (P-MDCSK) 的性能分析通常依赖于涉及Q函数的严格上限.
- 对Q函数的直接评估缺乏封闭式表达式,这阻碍了对P-MDCSK性能极限的简化分析.
研究的目的:
- 导出P-MDCSK.错误概率的近似封闭式表达式.
- 在性能分析中克服非闭式Q函数表达式的局限性.
- 为评估P-MDCSK错误界限提供一个计算可处理的方法.
主要方法:
- 使用Q函数的多项式近似来导出闭式表达式.
- 在添加式白色高斯噪声 (AWGN) 和多路径雷利淡化通道下进行模拟以进行验证.
- 将导出的近似表达式与模拟结果进行比较.
主要成果:
- 与模拟结果相比,P-MDCSK错误概率的导出近似闭式表达式显示了可以忽略不计的差距.
- 在理论表达式和模拟之间观察到大约0.4dB的边际偏差,比特错误率 (BER) 为10-4.
- 拟议的方法验证了近似闭式表达式的准确性.
结论:
- 开发的近似闭式表达式为分析P-MDCSK性能提供了有效和简化的方法.
- 这种方法为通信方案提供了有价值的工具,在这种情况下,精确的比特错误率 (BER) 封闭式公式是无法实现的.
- 该研究表明,Q函数近似对于简化复杂的通信性能分析具有实用性.
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