  Multiple-input multiple-output (MIMO) systems are playing an increasing and
interesting role in the recent wireless communication. The complexity and the
performance of the systems are driving the different studies and researches.
Lattices Reduction techniques bring more resources to investigate the
complexity and performances of such systems. In this paper, we look to modify a
fixed complexity verity of the LLL algorithm to reduce the computation
operations by reducing the number of iterations without important performance
degradation. Our proposal shows that we can achieve a good performance results
while avoiding extra iteration that does not bring much performance.
