%0 Journal Article %A Huazhang, L. %D 2017 %I Begell House %K LLL algorithm, lattice reduction, Generalized LLL, size reduction, MIMO system %N 6 %P 491-509 %R 10.1615/TelecomRadEng.v76.i6.40 %T A NOVEL GENERALIZED LLL ALGORITHM IN LATTICE REDUCTION FOR MIMO SYSTEM %U https://www.dl.begellhouse.com/journals/0632a9d54950b268,149b27e558d8d2be,6a1f8c3854e6d931.html %V 76 %X In this paper, we will introduce a novel Generalized LLL algorithm. In Generalized LLL algorithm, size reduction can be arbitrary skipped by setting different value of threshold. Size reduction has a directly connection to algorithmic convergence and complexity. So by means of changing value of threshold, we can easily realize the fast convergence of LLL algorithm. As a direct consequence, according to the simulation results, different value of parameter owns a different rate of convergence. But we use proximity factors to verify that original LLL algorithm still owns the best performance. And the trend of algorithmic complexity in different size of MIMO system is also under analyzed. %8 2017-08-28