Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels

Alamino, Roberto C. and Saad, David Statistical mechanics analysis of LDPC coding in MIMO Gaussian channels. Journal of Physics A: Mathematical and Theoretical, 40 (41), pp. 12259-12279.

Abstract

Using analytical methods of statistical mechanics, we analyse the typical behaviour of a multiple-input multiple-output (MIMO) Gaussian channel with binary inputs under low-density parity-check (LDPC) network coding and joint decoding. The saddle point equations for the replica symmetric solution are found in particular realizations of this channel, including a small and large number of transmitters and receivers. In particular, we examine the cases of a single transmitter, a single receiver and symmetric and asymmetric interference. Both dynamical and thermodynamical transitions from the ferromagnetic solution of perfect decoding to a non-ferromagnetic solution are identified for the cases considered, marking the practical and theoretical limits of the system under the current coding scheme. Numerical results are provided, showing the typical level of improvement/deterioration achieved with respect to the single transmitter/receiver result, for the various cases. © 2007 IOP Publishing Ltd.

Publication DOI: https://doi.org/10.1088/1751-8113/40/41/001
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Non-linearity and complexity research group
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Additional Information: Copyright of Institute of Physics
Uncontrolled Keywords: statistical mechanics,multiple-input multiple-output,Gaussian channel,low-density parity-check,network coding,joint decoding,transmitter,receiver,interference,transition,Mathematical Physics,Modelling and Simulation,Statistics and Probability,Physics and Astronomy(all),Statistical and Nonlinear Physics

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