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Paper data
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Title:
Analysis of LMS algorithm with delayed coefficient adaptation for sinusoidal reference

Author(s):
Vicente Luis, Dept. of Electronics and Communications Eng., University of Zaragoza, Spain
Masgrau Enrique, Dept. of Electronics and Communications Eng., University of Zaragoza, Spain

Page numbers in the proceedings:
Volume I pp 360-363

Session:
Nonlinear Signal and Systems / Adaptive Methods

Paper abstract
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In this paper, we analyse the stability of LMS algorithms with delayed coefficient adaptation, such as FxLMS and DLMS algorithms, when sinusoidal references are used. We demonstrate that in two common situations, that are two in-phase and quadrature sinusoidal components and a tapped delay line with a large number of weights, the adaptive system turns to be linear and time-invariant. Without the need of any independence assumption, stability is then analysed in those two situations and an upper bound for the adaptation step size is derived.

Paper
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A PDF version is available here

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