Spread-spectrum sequences from unstable periodic orbits

Carroll, T. L.

doi:10.1109/81.841846

Cited by 5 publications

(2 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Accordingly, we obtain for the SPO RLRC s the value readily get the expression (8). This linear transformation implies that both the logistic map and the corresponding CF control system (6) are of equivalent topology.…”

Section: (A)mentioning

confidence: 97%

“…In principle, stable or unstable periodic orbits of arbitrary length in a given chaotic system can be determined to any desired accuracy, so that a tailored set of such periodic sequences can be very useful [7][8][9][10]. In using UPO binary sequences for digital communication, it is necessary to find suitable control parameters for the selected chaotic system in order to optimize the digital machines generating the codes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comparison between constant feedback and limiter controllers

Zhou

2005

Phys. Rev. E

View full text Add to dashboard Cite

Using symbolic dynamics of the one-dimensional unimodal map, the chaos stabilization mechanics of the feedback and limiter control schemes are considered. For feedback control, it is found that the control strength can be efficiently obtained from the superstable parameter of the embedded periodic orbits, and the scaling of the control-space period-doubling bifurcation cascade still obeys the Feigenbaum law. For Sarkovskii orbits, the scaling is also consistent with that of the original chaotic system. For limiter control, a single critical point in the unimodal map is extended to a superstable periodic window and a simple approach for determining the value of the control plateau is found. The scaling in the control space of the period-doubling bifurcation cascade is indeed superexponential. A different scaling for the fine structure of the Sarkovskii sequence is also found. Simple one-dimensional unimodal maps can also be used to generate maximum-length shift-register sequences.

show abstract

Section: (A)mentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Comparison between constant feedback and limiter controllers

Zhou

2005

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

Independence Test of Chaotic Sequences

Jemaa

Fournier-Prunaret

Belghith

2014

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

Using the cyclostationary properties of chaotic signals for communications

Carroll

2002

IEEE Trans. Circuits Syst. I

Self Cite

View full text Add to dashboard Cite

Cyclostationary signals have an expectation value which varies periodically in time. Chaotic signals that have large components at some discrete frequencies in their power spectra can be cyclostationary. The cyclostationarity persists even if the discrete frequency components are removed from the chaotic signal, leaving a signal with a purely broad band frequency spectrum. In this brief, a communications system is created by modulating information onto the periodic parts of a chaotic signal and then removing the periodic parts from the frequency spectrum. At the receiver, the periodic parts of the spectrum are restored by means of a nonlinear operation. This system is demonstrated both in simulations and real circuits, and the performance of this system is measured in simulations. Finally, some of the reasons why such a scheme might be useful are discussed.

show abstract

Spread-spectrum sequences from unstable periodic orbits

Cited by 5 publications

References 29 publications

Comparison between constant feedback and limiter controllers

Comparison between constant feedback and limiter controllers

Independence Test of Chaotic Sequences

Using the cyclostationary properties of chaotic signals for communications

Contact Info

Product

Resources

About