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Proceedings Paper

Performance analysis of the LMS Fourier analyzer in the presence of frequency mismatch
Author(s): Yegui Xiao; Akira Ikuta; Liying Ma
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Paper 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.

Paper Details

Date Published: 2 September 2003
PDF: 4 pages
Proc. SPIE 5253, Fifth International Symposium on Instrumentation and Control Technology, (2 September 2003); doi: 10.1117/12.521520
Show Author Affiliations
Yegui Xiao, Hiroshima Prefectural Women's Univ. (Japan)
Akira Ikuta, Hiroshima Prefectural Women's Univ. (Japan)
Liying Ma, Concordia Univ. (Canada)


Published in SPIE Proceedings Vol. 5253:
Fifth International Symposium on Instrumentation and Control Technology
Guangjun Zhang; Huijie Zhao; Zhongyu Wang, Editor(s)

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