Performance analysis of the LMS Fourier analyzer in the presence of frequency mismatch

Yegui Xiao; Akira Ikuta; Liying Ma

doi:10.1117/12.521520

2 September 2003 Performance analysis of the LMS Fourier analyzer in the presence of frequency mismatch

Yegui Xiao, Akira Ikuta, Liying Ma

Proceedings Volume 5253, Fifth International Symposium on Instrumentation and Control Technology; (2003) https://doi.org/10.1117/12.521520
Event: Fifth International Symposium on Instrumentation and Control Technology, 2003, Beijing, China

Abstract

The statistical performances of the conventional adaptive Fourier analyzers, such as the LMS, the RLS algorithms and so on, may degenerate significantly, if the signal frequencies given to the analyzers differ from the true signal frequencies. This difference is referred to as frequency mismatch (FM). In this paper, we analyze extensively the performance of the conventional LMS Fourier analyzer in the presence of FM. We derive its dynamics and steady-state properties in detail. The optimum step size parameters which minimize the influence of the FM are also derived. Simulations are performed to reveal the validity of the analytical findings.

Citation Download Citation

Yegui Xiao, Akira Ikuta, and Liying Ma "Performance analysis of the LMS Fourier analyzer in the presence of frequency mismatch", Proc. SPIE 5253, Fifth International Symposium on Instrumentation and Control Technology, (2 September 2003); https://doi.org/10.1117/12.521520

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available