Bounds for Eigenvalues of Spatial Correlation Matrices With the Exponential Model in MIMO Systems
- Title
- Bounds for Eigenvalues of Spatial Correlation Matrices With the Exponential Model in MIMO Systems
- Author
- 윤동원
- Keywords
- Spatial correlation matrix; maximum eigenvalue; minimum eigenvalue; exponential model; massive MIMO
- Issue Date
- 2017-02
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Citation
- IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, v. 16, no. 2, page. 1196-1204
- Abstract
- It is important to understand the properties of spatial correlation matrices in multiple-input multiple-output (MIMO) systems. In this paper, we derive new bounds for the maximum and minimum eigenvalues of spatial correlation matrices characterized by the exponential model. The new upper bounds for the maximum and minimum eigenvalues are tighter than the previously known bounds. Moreover, the new lower bound for the minimum eigenvalue, which has not yet been derived in the literature as a function of the number of antennas, is also tight. In order to predict the behavior of these bounds, we investigate the gap between the lower and upper bounds. These bounds are directly applicable to the analysis of wireless communication scenarios, such as uniform planar arrays and ill-conditioned channels, which are expected to be widely used for massive MIMO systems.
- URI
- https://ieeexplore.ieee.org/document/7790799https://repository.hanyang.ac.kr/handle/20.500.11754/112589
- ISSN
- 1536-1276; 1558-2248
- DOI
- 10.1109/TWC.2016.2641419
- Appears in Collections:
- COLLEGE OF ENGINEERING[S](공과대학) > ELECTRONIC ENGINEERING(융합전자공학부) > Articles
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