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Nonlinear Dynamic Effects of Adaptive Filters in Narrowband Interference-Dominated Environments

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Applications of Nonlinear Dynamics

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

When applying certain adaptive algorithms, such as the popular LMS and NLMS algorithms, in adaptive noise canceling or adaptive equalization scenarios where a strong narrowband interference component is present, these algorithms exhibit nonlinear dynamic behaviors. The latter is expressed in filter weights – that are generally expected to converge to constants – exhibiting a dynamic component. Furthermore, the performance of these adaptive filters with dynamic weight behavior can exceed the performance of any filter of the same structure in which those weights are fixed. In adaptive noise canceling applications, the dynamic component of the weights can be unmistakably large. In adaptive equalization scenarios, however, the dynamic aspect of the weight behavior can easily be mistaken for low level noise. These various findings will be illustrated.

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Beex, A.(., Ikuma, T. (2009). Nonlinear Dynamic Effects of Adaptive Filters in Narrowband Interference-Dominated Environments. In: In, V., Longhini, P., Palacios, A. (eds) Applications of Nonlinear Dynamics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85632-0_13

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