Paper Info
Title
Statistical Mechanical Analysis Of The Kronecker Channel Model For Multiple-Input Multiple-Output Wireless Communication
Abstract
The Kronecker channel model of wireless communication is analyzed using statistical mechanics methods. In the model, spatial proximities among transmission/reception antennas are taken into account as certain correlation matrices, which generally yield nontrivial dependence among symbols to be estimated. This prevents accurate assessment of the communication performance by naively using a previously developed analytical scheme based on a matrix integration formula. In order to resolve this difficulty, we develop a formalism that can formally handle the correlations in Kronecker models based on the known scheme. Unfortunately, direct application of the developed scheme is, in general, practically difficult. However, the formalism is still useful, indicating that the effect of the correlations generally increase after the fourth order with respect to correlation strength. Therefore, the known analytical scheme offers a good approximation in performance evaluation when the correlation strength is sufficiently small. For a class of specific correlation, we show that the performance analysis can be mapped to the problem of one-dimensional spin systems in random fields, which can be investigated without approximation by the belief propagation algorithm.
Year
DOI
Venue
2009
10.1103/PhysRevE.80.061124
PHYSICAL REVIEW E
Keywords
Field
DocType
MIMO communication, receiving antennas, statistical mechanics, telecommunication channels, transmitting antennas
Kronecker delta,Statistical mechanics,Spin-½,Random field,Wireless,Matrix (mathematics),Quantum mechanics,Formalism (philosophy),Mathematics,Belief propagation
Journal
Volume
Issue
ISSN
80
6
1539-3755
Citations 
PageRank 
References 
8
0.65
1
Authors
3
Name
Order
Citations
PageRank
Atsushi Hatabu1333.79
Koujin Takeda2454.18
Yoshiyuki Kabashima313627.83