Title :
The LMS algorithm with delayed coefficient adaptation
Author :
Long, Guozhu ; Ling, Fuyun ; Proakis, John G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
fDate :
9/1/1989 12:00:00 AM
Abstract :
The behavior of the delayed least-mean-square (DLMS) algorithm is studied. It is found that the step size in the coefficient update plays a key role in the convergence and stability of the algorithm. An upper bound for the step size is derived that ensures the stability of the DLMS. The relationship between the step size and the convergence speed, and the effect of the delay on the convergence speed, are also studied. The analytical results are supported by computer simulations
Keywords :
filtering and prediction theory; least squares approximations; LMS algorithm; computer simulations; convergence; delayed coefficient adaptation; filtering; least-mean-square; stability; step size; Computer errors; Convergence; Delay; Equations; Filtering algorithms; Least squares approximation; Mean square error methods; Signal processing algorithms; Stability; Upper bound;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on