Artículos

Geometrical Modeling of Wideband MIMO Channels

Modelado de Canales MIMO de Banda Ancha por Métodos Geométricos

Alberto Alcocer Ochoa¹, Ramón Parra Michel² and Valeri Ya. Kontorovitch³

1 CINVESTAV del IPN, Av. IPN 2508, Col. San Pedro Zacatenco, G. A. Madero, C. P. 07360, México D. F., México.
aalcocer@cinvestav.mx

2 CINVESTAV del IPN, campus Guadalajara. Av. Científica 1145, Col. El Bajío, C. P. 45010, Jalisco, México.
rparra@gdl.cinvestav.mx

3 CINVESTAV del IPN, Av. IPN 2508, Col. San Pedro Zacatenco, G. A. Madero, C. P. 07360, México D. F., México.
valeri@cinvestav.mx

Article received on March 17, 2005; accepted on September 7, 2006

Abstract

In this paper it is shown a geometrically–based (GB) channel model that is proposed for the macro–, micro– and picocell environments. It is assumed that the local and dominant scatters' positions are given in a uniform way. The model includes some simplifications by the use of the mean values of the scatters' positions random variables (RV) as well as by the use of an asymptotic approach, i. e., it is assumed that the distance from the mobile to the base station is larger than the scatters–region's dimensions. The main idea is to find a closed form for the angle of arrival (AoA) and delay probability density functions (PDF) in order to evaluate the covariation matrix of the channel.

Keywords: Geometrical Models; Wideband MIMO Channels; Macrocell, Microcell and Picocell Environments.

Resumen

En este artículo se muestra un modelo de canal basado en geometría, para los ambientes de propagación macrocelda, microcelda y picocelda. Se asume que la posición de los dispersores locales y dominantes está dada de manera uniforme en cada región. El modelo incluye algunas simplificaciones mediante el uso de los valores promedio de las posiciones de los dispersores (vistas como variables aleatorias) en cada región, así como de un caso asintótico, i. e., se asume que la distancia del móvil a la estación base es mucho mayor que las dimensiones de la región donde yacen los dispersores. La idea principal detrás de este artículo es hallar una forma cerrada para función de densidad de probabilidad del ángulo de arribo y del tiempo de retardo para con ello evaluar la matriz de covarianza del canal MIMO.

Palabras Claves: Ambientes Macrocelda, Microcelda y Picocelda; Canales MIMO de Banda Ancha; Modelos Geométricos.

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