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International Journal of Antennas and Propagation
Volume 2012, Article ID 569864, 12 pages
Research Article

MIMO Channel Model with Propagation Mechanism and the Properties of Correlation and Eigenvalue in Mobile Environments

Department of Electrical, Electronics and Computer Engineering, Chiba Institute of Technology, 2-17-1 Tsudanuma, Narashino-shi, Chiba 275-0016, Japan

Received 29 November 2011; Revised 27 March 2012; Accepted 27 March 2012

Academic Editor: David A. Sanchez-Hernandez

Copyright © 2012 Yuuki Kanemiyo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper described a spatial correlation and eigenvalue in a multiple-input multiple-output (MIMO) channel. A MIMO channel model with a multipath propagation mechanism was proposed and showed the channel matrix. The spatial correlation coefficient formula 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) between MIMO channel matrix elements was derived for the model and was expressed as a directive wave term added to the product of mobile site correlation 𝜌 𝑖 𝑖 ( 𝑚 ) and base site correlation 𝜌 𝑗 𝑗 ( 𝑏 ) without LOS path, which are calculated independently of each other. By using 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) , it is possible to create the channel matrix element with a fixed correlation value estimated by 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) for a given multipath condition and a given antenna configuration. Furthermore, the correlation and the channel matrix eigenvalue were simulated, and the simulated and theoretical correlation values agreed well. The simulated eigenvalue showed that the average of the first eigenvalue λ1 hardly depends on the correlation 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) , but the others do depend on 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) and approach 𝜆 1 as 𝜌 𝑖 𝑗 , 𝑖 𝑗 ( 𝑏 𝑚 ) decreases. Moreover, as the path moves into LOS, the 𝜆 1 state with mobile movement becomes more stable than the 𝜆 1 of NLOS path.