Title :
Nonlinear behavior of the adaptive LMS algorithm
Author :
Bourgeois, Brian S. ; Martinez, Andrew B.
Author_Institution :
Naval Res. Labs., Stennis Space Center, MS, USA
fDate :
2/1/1995 12:00:00 AM
Abstract :
This brief demonstrates that the adaptive LMS filter does not necessarily converge in the mean to the Wiener solution through the investigation of the harmonic content of signals in the filter for the case of narrowband signals. A 1 tap filter is examined in detail, and the structure of the estimated and error signals for the filter is investigated for an N tap filter. Simulation results are provided which collaborate and amplify the theoretical findings, showing that the harmonic content of the filter output can be predicted
Keywords :
FIR filters; adaptive filters; error analysis; filtering theory; harmonics; least mean squares methods; nonlinear filters; 1 tap filter; N tap filter; Wiener solution; adaptive LMS algorithm; adaptive LMS filter; filter output; harmonic content prediction; narrowband signals; nonlinear behavior; Adaptive filters; Collaboration; Equations; Finite impulse response filter; Least squares approximation; Narrowband; Power harmonic filters; Predictive models; Signal analysis; Stochastic processes;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
