论文标题

多线性回归应用于通信系统分析

Multi Linear Regression applied to Communications systems Analysis

论文作者

Bajaña, Federico Rodas, Lara, Luis Hernan Montoya, Paredes, Manolo, de Ory, Elena Gimenez

论文摘要

本文开发了一个电磁信号的传播模型,该模型在厄瓜多尔丛林中以20和40 MHz的频率发出。预计将在这项研究结束时获得的结果将用于生成无线通信技术的完整覆盖范围,这将优化厄瓜多尔边境丛林中武装部队进行的操作中的无线电频谱。发现的最终表达式是将接收能力(PRX)与确定弗雷斯内尔区(连接)几何形状的因素联系起来的调整函数。研究的最终模型改善了商业软件中模拟能力(PRX)与原位测量无线传输样本的差异。该分析基于Longley-Rice提出的结果和方法。它被确定了由朗利 - 瑞斯(LMR)计算出的损失(LLR)之间的差异(LLR)与在田间获得的数据之间的非正态性,并在LMR表达中添加了校正系数。随后,将数学表达式线性化以实现多元线性调整技术。寻求线性回归模型的替代配方,并比较了其拟合良好。理论上介绍了所有这些技术。总而言之,对发现模型的误差进行了分析。数学建模软件(例如MATLAB和SPSS)用于制剂和数值分析,其算法也被引入。最后,我们提出了未来的研究路线,以全球了解敌对环境下电信技术的行为。

This paper develops a propagation model of electromagnetic signals emitted at frequencies of 20 and 40 MHz for the Ecuadorian jungle. It is expected that the results obtained at the end of this research will be applied to produce a complete coverage map for wireless communications technologies, which will optimize the radio spectrum in operations carried out by the Armed Forces in the Ecuadorian border jungle. The final expression found is an adjustment function that relates the Receiving Power (PRX) to factors that determine the geometry of the Fresnell Zone (Connectivity). The resulting model of the research improves the discrepancy between the simulated power (PRX) in commercial software and a sample of measured wireless transmissions in situ. The analysis was based on the results and methodology presented by Longley-Rice. It was determined the non-normality of the discrepancy between the losses (LLR) calculated by Longley-Rice Model (LMR) and the data obtained in the field, It was added correction coefficients on the expression of LMR. Subsequently, the mathematical expression was linearized to implement multivariate linear adjustment techniques. Alternative formulations to the Linear Regression model were sought and their goodness of fit was compared; all these techniques are introduced theoretically. To conclude, an analysis of the error of the found model is made. Mathematical modeling software such as MATLAB and SPSS were used for the formulation and numerical analysis, whose algorithms are also introduced. Finally, we propose future lines of research that allow a global understanding of the behavior of telecommunications technologies under hostile environments.

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