Incremental Modified Leaky LMS

Incremental Least means squares algorithm is one of the simplest algorithm for parameter estimation in distributed wireless networks, which find a wide range of applications from monitoring environmental parameters to satellite positioning. Digital implementation of adaptive filters results in quantization errors and finite precision errors, which makes the ILMS algorithm to suffer from drift problem. Incremental Leaky LMS algorithm introduces a leakage factor in the update equation and overcomes the drift problem. But the overall performance of ILLMS is similar to ILMS in terms of convergence speed. To overcome this an incremental Modified Leaky LMS is proposed based on MLLMS algorithm which in turn derived from the Least Sum of Exponentials algorithm. LSE algorithm employs sum of exponentials of errors in its cost function and it results in convex and smooth error surface with more steepness, which results in faster convergence rate. Simulation results prove that the proposed IMLLMS outperforms the ILLMS.