Extraction of Signals from Chaotic Laser Data

Geddes, J; Short, Kevin M.; Black, Kelly

doi:10.1103/physrevlett.83.5389

Cited by 41 publications

(18 citation statements)

References 9 publications

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“…This property emphasizes the high potential of the SCR-dynamics for encrypted data transmission, since a decay of the correlation function within a few ns corresponding to just a few cycles of the light in the external cavity prevents successful application of embedding-techniques for phase-space reconstruction of the chaotic attractor [21][22][23].…”

Section: Carrier Properties In the Short Cavity Regimementioning

confidence: 97%

“…Additionally, the carrier modulation index drops for frequencies between the external cavity resonance frequencies which restricts the carrier bandwidth and, hence, hinder broad-band message transmission. Furthermore, slowly decaying autocorrelation functions of the dynamics indicate unsuitably small information entropies for the carrier revealing a potential lack for the system's security [21][22][23].…”

Section: Semiconductor Laser Subject To Delayed Optical Feedbackmentioning

confidence: 99%

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A short external cavity semiconductor laser cryptosystem

Peil

Fischer

Elsäßer

2004

Comptes Rendus. Physique

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Section: Carrier Properties In the Short Cavity Regimementioning

confidence: 97%

Section: Semiconductor Laser Subject To Delayed Optical Feedbackmentioning

confidence: 99%

A short external cavity semiconductor laser cryptosystem

Peil

Fischer

Elsäßer

2004

Comptes Rendus. Physique

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“…Among these papers, successful results were obtained under quite restricted situations, such as low dimensional dynamics [27], or low nonlinear process authorizing linear approaches [28].…”

Section: Cryptanalysis Directionsmentioning

confidence: 99%

Ikeda-based nonlinear delayed dynamics for application to secure optical transmission systems using chaos

Larger¹,

Goedgebuer²,

Udaltsov³

2004

Comptes Rendus. Physique

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The pionneering work of Ikeda initiated the investigation in Optics of dynamical systems described by nonlinear delayed differential equations (NLDDEs). Our group has developed in optoelectronics similar dynamical systems intended for practical implementation of chaos-based encryption demonstrators. Different set-ups have been implemented making use of various optical variables, such as the wavelength, the intensity, the optical path difference or the optical phase, each of them exhibiting different advantages (chaos complexity, encryption speed, masking efficiency, encryption key size). A general architecture of NLDDE chaos generators and some of their related dynamical properties are reported, as well as the implementation in practical encryption systems using chaotic dynamics. Security issues, performance, and future developments of those systems are also addressed. To cite this article: L. Larger et al., C. R. Physique 5 (2004).  2004 Académie des sciences. Published by Elsevier SAS. All rights reserved. Résumé Dynamiques non linéaires à retard d'Ikeda appliquées à un système de transmission optique sécurisé par chaos.Les travaux précurseurs d'Ikeda ont marqué le début de l'exploration en optique des systèmes dynamiques décrits par des équations différentielles non linéaires à retard (EDNLR). Notre groupe s'est inspiré de ces travaux pour mettre au point en optoélectronique des démonstrateurs de systèmes cryptographiques par chaos. Plusieurs montages expérimentaux ont été mis au point à partir de variables dynamiques physiques différentes, comme la longueur d'onde, l'intensité, la différence de chemin optique, ou encore la phase optique, chacune d'elles présentant des propriétés particulières (la complexité du chaos, la vitesse de codage, l'efficacité de masquage, ou encore la taille de la clé de cryptage). Une architecture générale de réalisation d'EDNLR est présentée, ainsi que son principe d'implémentation dans un système complet de cryptographie par chaos pour les télécommunications optiques. Les problèmes de sécurité, les performances, et les développements à venir de ce type de systèmes sont évoqués. Pour citer cet article : L. Larger et al., C. R. Physique 5 (2004).

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“…is given by (17) The receiver dynamics is given by (18) and the transmitted signal is given by We chose the parameters , , , , , , , , , such that the system attractor is chaotic. Values of parameters can be found in [23].…”

Section: A Dynamics Of Phase-imentioning

confidence: 99%

Additive mixing modulation for public key encryption based on distributed dynamics

Tenny

Tsimring²

2005

IEEE Trans. Circuits Syst. I

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We introduce a public key encryption scheme that is based on additive mixing of a message with chaotic nonlinear dynamics. A high-dimensional dissipative nonlinear dynamical system is distributed between transmitter and receiver. The transmitter dynamics is public (known to all) and the receiver dynamics is private (known only to the authorized receiver). Bidirectional signals that couple transmitter and receiver are transmitted over a public channel. Once the chaotic dynamics which is initialized with a random state converges to the attractor, a message is mixed with the chaotic dynamics at the transmitter. The authorized receiver who knows the entire dynamics can use a simple algorithm to decode the message. An unauthorized receiver does not know the receiver dynamics and needs to use computationally unfeasible algorithms in order to decode the message. Security is maintained by altering the private receiver dynamics during transmission. We show that using additive mixing modulation is more efficient than the attractor position modulation distributed dynamics encryption scheme. We demonstrate the concept of this new scheme by simulating a simple coupled map lattice.

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Extraction of Signals from Chaotic Laser Data

Cited by 41 publications

References 9 publications

A short external cavity semiconductor laser cryptosystem

A short external cavity semiconductor laser cryptosystem

Ikeda-based nonlinear delayed dynamics for application to secure optical transmission systems using chaos

Additive mixing modulation for public key encryption based on distributed dynamics

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