Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
564536 | Signal Processing | 2009 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Mohammad Saleh Tavazoei, Mohammad Haeri,