In this paper, the influence of signal to noise ratio in the estimation of Permutation Entropy was studied upon signals obtained by simulations of a chaoticdeterministic system. Then, using a bootstrap scheme, we applied hypothesistests to detect noise in a signal computing the Permutation Entropy. Similarly to recent publications, we found that as the content of noise increases (i.e. the signal to noise ratio decreases), three clearly different dynamics appear: dominant deterministic, deterministic noisy and dominant noisy. To discriminate the limits of these zones, another hypothesis test was applied. Finally, we also show that if a hypothesis test detects changes in the value of Permutation Entropy, it is due to changes in the actual dyn...
Measuring complexity of observed time series plays an important role for understanding the character...
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quant...
Bandt and Pompe introduced Permutation Entropy as a complexity measure and has been widely used in t...
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerica...
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerica...
We analyze the permutation entropy of deterministic chaotic signals affected by a weak observational...
L.R. and A.P. contributed equally to this work. Funding: This research received no external funding....
Permutation entropy contains the information about the temporal structure associated with the underl...
In nonlinear dynamics, and to a lesser extent in other fields, a widely used measure of complexity i...
Measuring complexity from non-stationary time series provides an important clue to the understanding...
Permutation entropy (PE) is commonly used to discriminate complex structure from white noise in a ti...
We present the Bayesian estimation of Permutation Entropy. In particular, we studied the bias and th...
A symbolic encoding scheme, based on the ordinal relation between the amplitude of neighboring value...
Timely detection of sudden change in dynamics that adversely affect the performance of systems and q...
This paper aims at introducing the Lempel–Ziv permutation complexity vs. permutation entropy plane (...
Measuring complexity of observed time series plays an important role for understanding the character...
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quant...
Bandt and Pompe introduced Permutation Entropy as a complexity measure and has been widely used in t...
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerica...
We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerica...
We analyze the permutation entropy of deterministic chaotic signals affected by a weak observational...
L.R. and A.P. contributed equally to this work. Funding: This research received no external funding....
Permutation entropy contains the information about the temporal structure associated with the underl...
In nonlinear dynamics, and to a lesser extent in other fields, a widely used measure of complexity i...
Measuring complexity from non-stationary time series provides an important clue to the understanding...
Permutation entropy (PE) is commonly used to discriminate complex structure from white noise in a ti...
We present the Bayesian estimation of Permutation Entropy. In particular, we studied the bias and th...
A symbolic encoding scheme, based on the ordinal relation between the amplitude of neighboring value...
Timely detection of sudden change in dynamics that adversely affect the performance of systems and q...
This paper aims at introducing the Lempel–Ziv permutation complexity vs. permutation entropy plane (...
Measuring complexity of observed time series plays an important role for understanding the character...
Permutation entropy measures the complexity of a deterministic time series via a data symbolic quant...
Bandt and Pompe introduced Permutation Entropy as a complexity measure and has been widely used in t...