The leaky least mean mixed norm algorithm

In this work, a leakage-based variant of the Least Mean Mixed Norm (LMMN) algorithm, the leaky Least Mean Mixed Norm (LLMMN) algorithm, is derived. The proposed algorithm will help mitigate the weight drift problem experienced in the conventional Least Mean Square (LMS) and Least Mean Fourth (LMF) algorithms. The main aim of this work is to derive the LLMMN adaptive algorithm and conduct transient analysis using the energy conservation relation framework. Finally, a number of simulation results are carried out to corroborate the theoretical findings, and show improved performance obtained through the use of LLMMN over the conventional LMMN algorithm in a weight drift environment.