A family of normalized LMS algorithms

A derivation of the normalized LMS algorithm is generalized, resulting in a family of projection-like algorithms based on an L/sub p/-minimized filter coefficient change. The resulting algorithms include the simplified NLMS algorithm of Nagumo and Noda (1967) and an even simpler single-coefficient update algorithm based on the maximum absolute value datum of the input data vector. A complete derivation of the algorithm family is given, and simulations are performed to show the convergence behaviors of the algorithms.< >