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Statistical independence of reflection and transmission coefficients on PLT due to system loads
Independencia estadística de los coeficientes de transmisión y reflexión presentes en PLT debido a las cargas del sistema
Keywords:
PLT, PLC, BPL, system load, stochastic model, covariance, channel (en)PLT, PLC, BPL, cargas del sistema, modelo estocástico, covarianza, canal (es)
This paper presents the theoretical development of the covariance between reflection and transmission coefficients caused by system loads in electric grids. This result allows the calculation of the expected value and covariance of the channel response; these parameters can be used as design criteria in telecommunication networks over power lines in in-home environments. Additionally, the product of these variables is encountered commonly in the channel transfer function, whereby it can be determined if the calculation of these parameters can be simplified when this product is on a given path. For this purpose, the random behavior of the channel response caused by human activity is represented by a multipath model with a stochastic addition, where the reflection coefficient is treated as a random complex variable, providing more information compared to the real field.
En este artículo se muestra el desarrollo teórico de la covarianza entre los coeficientes de reflexión y transmisión causados por cargas del sistema presentes en la red eléctrica. Este resultado permite calcular el valor esperado y la covarianza de la respuesta del canal, los cuales pueden ser utilizados como criterios de diseño en redes de telecomunicaciones sobre líneas de potencia en ambientes in-home, y el producto de estas variables es encontrado frecuentemente en la función de transferencia del canal, lo que permite determinar si el cálculo de estos parámetros puede ser simplificado para una trayectoria dada. Para tal fin, el comportamiento aleatorio de la respuesta del canal causado por la actividad humana se representó por medio de un modelo multitrayecto con una adición estocástica, donde cada coeficiente de reflexión es tratado como una variable aleatoria compleja, proveyendo más información en comparación con un espacio real.
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References
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Copyright (c) 2014 Juan Miguel David Becerra Tobar, Jorge Eduardo Ortiz Triviño
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