HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Design and Implementation of a Digital Dual Orthogonal Outputs Chaotic Oscillator

Abstract : Discrete time dynamical chaotic systems obey a set of recurrence equations involving one or more variables. Many chaotic maps have been proposed. None that simultaneously provides two sine-cosine outputs has stationary mean and standard deviation, or is quite robust with respect to the data format used in the hardware implementation. Here, we propose a chaotic oscillator based on a complex phasor whose angular argument evolves according to a geometric progression that is independent of the instantaneous amplitude. In order to maintain the oscillations, the phasor magnitude is normalized at each iteration using an approximation factor. The statistical characteristics of this oscillator are stationary in the short term, and do not depend on the initial conditions. The mean and standard deviation of the two orthogonal sequences quickly approach 0 and 1/ √ 2, respectively. The resulting distribution is similar to that of a digital sine with a constant angular step. We also present an FPGA architecture and its implementation results. This oscillator can be used in modulation schemes, such as the chaotic shift keying one or for data and image encryption. Finally, we show an original application that exploits the orthogonality of the two chaotic signals for the simultaneous encryption of two digital images.
Document type :
Journal articles
Complete list of metadata

https://hal.univ-lorraine.fr/hal-03562073
Contributor : Philippe Poure Connect in order to contact the contributor
Submitted on : Tuesday, February 8, 2022 - 4:31:26 PM
Last modification on : Thursday, February 10, 2022 - 4:12:03 PM
Long-term archiving on: : Monday, May 9, 2022 - 8:11:04 PM

File

electronics-09-00264-v2.pdf
Publisher files allowed on an open archive

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Collections

Citation

Yves Berviller, Etienne Tisserand, Philippe Poure, Hassan Rabah. Design and Implementation of a Digital Dual Orthogonal Outputs Chaotic Oscillator. Electronics, MDPI, 2020, 9 (2), pp.264. ⟨10.3390/electronics9020264⟩. ⟨hal-03562073⟩

Share

Metrics

Record views

9

Files downloads

2