Analysis on Spatial Correlation Related with Antenna Array of MIMO System

Abstract

In this paper, the spatial correlation analysis was based on a circular antenna arrays. The antenna was placed on the circle equably. So, the distance between antenna elements was considered in the analysis. At the same time, the formula of spatial correlation at the receiver was educed, which was aimed at circular antenna arrays. The correlation between antenna elements changed due to the changed antenna distance, the angle spread and the average angle of arrival direction of the signal. The antenna correlation changed with the angle spread changed. At this paper, the equality distributing of angle spread was considered. Each parameter that influenced spatial correlation was analyzed, the simulation figure demo the results derived by the formula. It was important to the analysis of the MIMO systems estimation and design.Keywords: multiple input multiple output (MIMO) system, spatial correlation, angle spread, direction of signal arrival, antenna array 1-4244-1312-5/07/$25.00

Derivation and Analysis of Spatial Correlation for 2 <formula> <tex>$\,\times\,$</tex> </formula>2 MIMO System

“…Then, (7) can be computed as follows: (8) where is the difference between and . Its probability density function, denoted as , is easily computed by convolution, yielding elsewhere (9) With the above probability density function, the second expectation in (8) is equal to zero.…”