Effect of delay on the performance of the leaky LMS adaptive algorithm

Author

Laichi, F. ; Aboulnasr, T. ; Steenaart, W.

Author_Institution

Dept. of Electr. Eng., Ottawa Univ., Ont., Canada

Volume

3

fYear

1993

fDate

27-30 April 1993

Firstpage

515

Abstract

The effect of incorporating a nonzero delay in the update of the leaky LMS (LLMS) algorithm on the overall performance is studied. The stability bound on the step size is obtained for the leaky delayed LMS (LDLMS) to ensure error convergence; bounds for LMS, DLMS, and LLMS can then be obtained as special cases. It is shown that leakage improves the performance of the DLMS by allowing for a larger bound on the step size, this making up for the reduction resulting from nonzero delay in updating the coefficients. Theoretical bounds are verified by simulations. Examples of the improved performance of LDLMS are also provided. The performance of the LDLMS is shown to reduce the detrimental effect of the delay on tracking nonstationarities.<>

Keywords

adaptive filters; convergence of numerical methods; delays; filtering and prediction theory; stability; tracking; delay; leaky LMS adaptive algorithm; performance; simulations; stability bound; step size; tracking nonstationarities;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on

Conference_Location

Minneapolis, MN, USA

ISSN

1520-6149

Print_ISBN

0-7803-7402-9

Type

conf

DOI

10.1109/ICASSP.1993.319548

Filename

319548