@article {Wen:2020:0736-2935:728, title = "Convergence behavior analysis of FxLMS algorithm with different leaky term", journal = "INTER-NOISE and NOISE-CON Congress and Conference Proceedings", parent_itemid = "infobike://ince/incecp", publishercode ="ince", year = "2020", volume = "261", number = "6", publication date ="2020-10-12T00:00:00", pages = "728-739", itemtype = "ARTICLE", issn = "0736-2935", url = "https://ince.publisher.ingentaconnect.com/content/ince/incecp/2020/00000261/00000006/art00087", author = "Wen, Shulin and Gan, Woon-Seng and Shi, Dongyuan", abstract = "In order to improve the robustness of conventional filtered-X LMS (FXLMS) algorithm, different leaky terms are introduced into the cost function. With di erent leaky term, the convergence behavior differs much. The detailed derivation of LASSO based FXLMS (L1-FXLMS) and elastic-net based FXLMS (L1/2-FXLMS) algorithms are presented. In addition, su cient conditions for guaranteed convergence are derived for FxLMS algorithms with different leaky term. Furthermore, the convergence behavior of Ll-FXLMS and L1/2- FXLMS algorithms are compared with conventional FXLMS and leaky FXLMS (L2-FXLMS) algorithms. It is indicated that Ll-FXLMS could have faster convergence speed than L2- FXLMS with the premise of guaranteed convergence. Simulation and experiments are conducted to test the su cient boundaries for guaranteed convergence of different FXLMS algorithms.", }