Secure data transmission scheme based on fractional-order discrete chaotic system

Abstract

In this paper, we propose a novel image transmission scheme based on fractional-order discrete-time systems and on observers design. At the transmitter level, a grayscale original image is encrypted using chaotic signals generated from two different fractional-order chaotic systems. These signals should be available at the receiver level in order to recover this image at the reception end. This is why, two fractional-order observers are used to estimate the states of each fractional-order systems. In addition, in order to show the effectiveness of the proposed transmission system, simulation results will be illustrated and different analysis are given to illustrate and highlight the security and robustness of the proposed scheme.

A new synchronization result for fractional-order discrete-time chaotic systems via bandlimited channels

“…Taking into account the expression of the first dynamics in equation ( 27) and substituting the coordinate shifts (28), we obtain the expanded system as follows:…”

“…Additionally, the intricate geometric interpretation of the non-local effects of fractional derivatives in space or time adds another intriguing dimension to the use of fractional-order chaotic systems in secure transmission. Due to these compelling features, the application of fractional-order chaotic systems in secure communications poses a significant challenge in the field of data transmission when compared to integer-order chaotic systems [27][28][29][30][31][32]. For this, several synchronization methods have been proposed.…”

Robust digital image watermarking scheme with a fractional-order discrete-time chaotic scheme and DWT-SVD transform

“…Applications involving sensitive data transmission now demonstrate the need for robust and reliable means to safeguard the valuable data contained in images against intruders. There are several security tools, including digital watermarking [2,3] along with chaotic encryption [4][5][6][7][8][9][10][11][12]. Chaotic systems properties (initial conditions sensitivity, non-convergence, non-periodicity, ergodicity) have aroused great interest among cryptographers in the development of robust cryptosystems [13].…”

“…When transmitter-receiver synchronization is reached, this leads to message retrieval. Chaotic system synchronization is similar to an observer design problem [8,9]. If so, state and transmitted message, considered as undefined input, must be calculated.…”

Robust Image Transmission Scheme Based on Coupled Fractional-Order Chaotic Maps

“…The interest of using the fractional-order chaotic systems in secure data transmission is to improve the security. This is possible by adding the fractional-orders derivative as new parameters to the security key [4]. It should be noted that research in secure image field based on fractional-order continuoustime chaotic systems is very few and it is not exploited and has not been yet addressed in the discrete case.…”