Efficient adaptive identification of linear-in-the-parameters nonlinear filters using periodic input sequences

► Adaptive algorithms for linear-in-the-parameters (LIP) nonlinear filters are discussed. ► NLMS and RLS algorithms for LIP filters using periodic sequences are derived. ► Computational cost is only three arithmetic operations per sample time. ► Transient, steady state, and tracking behavior of the algorithms is analyzed. ► Effects of a model mismatch between unknown and adaptive system are also analyzed.