Proceedings of the Annual Conference of the Institute of Systems, Control and Information Engineers
The 48th Annual Conference of the Institute of Systems, Control and Information Engineers
Session ID : 3007
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Analysis of the LMS Algorithm with Tonal Reference Signals in the Presence of Frequency Mismatch
*Yoichi Hinamoto, Hideaki Sakai
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Keywords: LMS Algorithm, Convergence Analysis, Frequency Mismatch
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Abstract
Several results are shown for the LMS algorithm with tonal reference signals in the presence of frequency mismatch. First, a necessary and sufficient condition about the step sizes for convergence of the algorithm is derived using the Lyapunov function method with the PBH test and a transient behavior is analyzed. Also, the exact effect of frequency mismatch is examined. The validity of the obtained results is shown by simulations.
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© 2004 The Institute of Systems, Control and Information Engineers
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