Multiple-input multiple-output (MIMO) systems are playing an important role in the recent wirelesscommunication. The complexity of the different systems models challenge different researches to get a goodcomplexity to performance balance. Lattices Reduction Techniques and Lenstra-Lenstra-Lovàsz (LLL)algorithm bring more resources to investigate and can contribute to the complexity reduction purposes.In this paper, we are looking to modify the LLL algorithm to reduce the computation operations byexploiting the structure of the upper triangular matrix without “big” performance degradation. Basically,the first columns of the upper triangular matrix contain many zeroes, so the algorithm will perform severaloperations with very limited income. We are presenting a performance and complexity study and ourproposal show that we can gain in term of complexity while the performance results remains almost thesame.
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