在MIMO基于传感器的传播环境中检查传输零点,使用一种新的几何程序
Dariusz Pączko1, Wojciech P Hunek2
1Department of Mathematics and IT Applications, Opole University of Technology, 45-758 Opole, Poland.
Sensors (Basel, Switzerland)
|February 10, 2024
概括
一种新的几何方法有效地计算通信系统中的传输零值,显著优于耗时的史密斯-麦克米兰分解. 这一进步降低了现代电信的计算负担.
科学领域:
- 电气工程和计算机科学
- 应用数学 应用数学 应用数学
背景情况:
- 传输零对于现代通信系统至关重要.
- 计算传输零的经典史密斯-麦克米兰因数分解方法是计算密集且耗时的.
- 需要更快,更有效的方法来确定传输零点.
研究的目的:
- 引入一种用于计算传输零的新型几何程序.
- 开发一种高效的算法,用于多变量电信系统,使用转移函数方法.
- 为了减少计算力度,克服传输零检测中的技术局限性.
主要方法:
- 提出了一种新的几何起源的方法.
- 该方法适用于由传输函数表示的多变量电信系统.
- 通过模拟示例来评估性能,将计算时间与史密斯-麦克米兰因子分解进行比较.
主要成果:
- 与史密斯-麦克米兰因数分解相比,拟议的几何方法显著降低了计算负担.
- 对于5x5矩阵,新方法比史密斯-麦克米兰快得多.
- 计算时间的节省随着矩阵尺寸的增加而增加;对于100个元素的矩阵,差异很大 (QI=100,QII=60).
结论:
- 新的几何方法为计算传输零提供了更有效的解决方案.
- 这种方法克服了现有技术的局限性,特别是在大型系统中.
- 这些发现证实了几何方法在加快通信系统分析计算中的潜力.
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