2 September 2003 Performance analysis of the LMS Fourier analyzer in the presence of frequency mismatch
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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.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yegui Xiao, Yegui Xiao, Akira Ikuta, Akira Ikuta, Liying Ma, 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); doi: 10.1117/12.521520; https://doi.org/10.1117/12.521520
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