Conference paper ยท Preprint article
Near-Optimal Detection in MIMO Systems using Gibbs Sampling
In this paper we study a Markov Chain Monte Carlo (MCMC) Gibbs sampler for solving the integer least-squares problem. In digital communication the problem is equivalent to preforming Maximum Likelihood (ML) detection in Multiple-Input Multiple-Output (MIMO) systems. While the use of MCMC methods for such problems has already been proposed, our method is novel in that we optimize the "temperature" parameter so that in steady state, i.e., after the Markov chain has mixed, there is only polynomially (rather than exponentially) small probability of encountering the optimal solution.
More precisely, we obtain the largest value of the temperature parameter for this to occur, since the higher the temperature, the faster the mixing. This is in contrast to simulated annealing techniques where, rather than being held fixed, the temperature parameter is tended to zero. Simulations suggest that the resulting Gibbs sampler provides a computationally efficient way of achieving approximative ML detection in MIMO systems having a huge number of transmit and receive dimensions.
In fact, they further suggest that the Markov chain is rapidly mixing. Thus, it has been observed that even in cases were ML detection using, e.g., sphere decoding becomes infeasible, the Gibbs sampler can still offer a near-optimal solution using much less computations.
Language: | English |
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Publisher: | IEEE |
Year: | 2009 |
Pages: | 1-6 |
Proceedings: | 2009 IEEE Global Telecommunications Conference |
ISBN: | 142444148X , 142444148x and 9781424441488 |
ISSN: | 23340983 and 1930529x |
Types: | Conference paper and Preprint article |
DOI: | 10.1109/GLOCOM.2009.5425927 |
Computational modeling Digital communication MCMC methods MIMO MIMO communication MIMO systems Markov Chain Monte Carlo Gibbs sampler Markov processes Maximum likelihood detection Monte Carlo methods Optimization methods Polynomials Sampling methods Steady-state Temperature distribution digital communication integer least-square problem least squares approximations maximum likelihood detection multiple-input multiple-output systems near-optimal detection optimisation signal sampling simulated annealing techniques sphere decoding temperature parameter optimization