Multiple-input multiple-output (MIMO) systems are playing an increasing and interesting role in the recentwireless communication. The complexity and the performance of the systems are driving the differentstudies and researches. Lattices Reduction techniques bring more resources to investigate the complexityand performances of such systems.In this paper, we look to modify a fixed complexity verity of the LLL algorithm to reduce the computationoperations by reducing the number of iterations without important performance degradation. Our proposalshows that we can achieve a good performance results while avoiding extra iteration that doesn’t bringmuch performance.
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