Roberto C Alamino and David Saad 2007 J. Phys. A: Math. Theor. 40 12259 doi:10.1088/1751-8113/40/41/001
Roberto C Alamino and David Saad
Show affiliationsUsing 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.
02.50.-r Probability theory, stochastic processes, and statistics
Issue 41 (12 October 2007)
Received 11 May 2007, in final form 5 September 2007
Published 25 September 2007
Roberto C Alamino and David Saad 2007 J. Phys. A: Math. Theor. 40 12259
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