Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10369957 | Signal Processing | 2005 | 8 Pages |
Abstract
An exact analysis is presented for the LMS algorithm with tonal reference signals in the presence of frequency mismatch. First, the time-varying linear system describing the LMS algorithm is converted into a time-invariant linear system. Then, a necessary and sufficient condition about the step sizes for convergence of the algorithm is derived using the Lyapunov function method and a transient behavior is analyzed. Finally, the effects of observation noise and frequency mismatch are examined without any approximations. The validity of the obtained results is shown by simulations.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Hideaki Sakai, Yoichi Hinamoto,