Statistical analysis and spectral estimation techniques for one-dimensional chaotic signals

1997 ◽  
Vol 45 (6) ◽  
pp. 1495-1506 ◽  
Author(s):  
S.H. Isabelle ◽  
G.W. Wornell
1981 ◽  
Vol 20 (4) ◽  
pp. 601 ◽  
Author(s):  
Demetri Psaltis ◽  
B. V. K. Vijaya Kumar

1997 ◽  
Vol 07 (01) ◽  
pp. 205-213 ◽  
Author(s):  
Zhou Hong ◽  
Ling Xieting

This work proposes a class of one-dimensional analogue chaotic signals which have perfect statistical properties. A non-invertible transformation is introduced to generate a class of binary (symbolic) chaotic sequences with desired distribution function and correlation function. These binary chaotic secure sequences are proven to have near-ideal linear complexity and infinite large discrete correlation dimension, thus they cannot be reconstructed by linear-feedback shift-register (LFSR) techniques or nonlinear dynamics (NLD) forecasting in finite order.


2014 ◽  
Vol 14 (5) ◽  
pp. 2246-2253 ◽  
Author(s):  
Oliver Brandt ◽  
Sergio Fernández-Garrido ◽  
Johannes K. Zettler ◽  
Esperanza Luna ◽  
Uwe Jahn ◽  
...  

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