Abstract
Adaptive filtering techniques have been successfully implemented in various important applications such as echo cancellation, equalization, noise cancellation, and others.
The rapid growth of computer technology made the on line implementation of adaptive filters possible and raised the interest of researchers in the development of new adaptive filtering algorithms for more challenging situations such as strong fading and large signal and noise distortions.
In this paper, the authors present the state of the art of adaptive filtering algorithms. Both LMS and RLS families of algorithms are detailed. However, emphasis is also given to recently proposed least mean fourth (LMF) and mixed norm criteria. based adaptive filtering algorithms. The strengths and drawbacks of the above algorithms are also discussed. Simulation results are given for some popular algorithms.