2 research outputs found
Statistical mechanical analysis of the Kronecker channel model for MIMO wireless communication
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 non-trivial 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
Statistical mechanical analysis of the linear vector channel in digital communication
A statistical mechanical framework to analyze linear vector channel models in
digital wireless communication is proposed for a large system. The framework is
a generalization of that proposed for code-division multiple-access systems in
Europhys. Lett. 76 (2006) 1193 and enables the analysis of the system in which
the elements of the channel transfer matrix are statistically correlated with
each other. The significance of the proposed scheme is demonstrated by
assessing the performance of an existing model of multi-input multi-output
communication systems.Comment: 15 pages, 2 figure