Chaos in the APFM nonlinear adaptive filter

Tavazoei, M. S ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.sigpro.2008.10.032
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, we show that an amplitude phase frequency model (APFM) which is used as a nonlinear adaptive filter in signal processing can exhibit chaotic behavior. It is illustrated that both frequency and amplitude of the input components have effect on the filter characteristics which can lead the filter to behave chaotically for some values of these parameters. We have exploited different measures such as the Lyapunov exponents, bifurcation diagram, sensitivity to initial condition, and 0-1 test on time series to confirm our claim. Existence of the chaotic behavior in APFM does not conform to the prior conjectures about this filter. © 2008 Elsevier B.V. All rights reserved
  6. Keywords:
  7. APFM ; Lyapunov exponent ; Adaptive filtering ; Adaptive filters ; Bifurcation (mathematics) ; Differential equations ; Electric filters ; Lyapunov methods ; Telecommunication networks ; Time series ; Bifurcation diagram ; Chaos ; Signal processing
  8. Source: Signal Processing ; Volume 89, Issue 5 , 2009 , Pages 697-702 ; 01651684 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0165168408003344