A chaotic image encryption algorithm combining 2D chaotic system and random XOR diffusion

The improvement of Analog-to-Digital Converter (ADC) performance is crucial to improve the data quality of the signal acquisition system. Therefore, based on the dithering technology, combined with the chaotic system, the study designs and analyses a novel method to improve the Spurious-Free dynamic range (SFDR) of the ADC. First, a new five-dimensional chaotic system is proposed in this paper. The chaotic characteristics and dynamic behavior of the new system have been deeply analysed. The analysis methods mainly consist of the Lyapunov exponent, bifurcation diagram, power spectrum and sample entropy. The corresponding simulation model has been developed in Simulink, and the simulation results prove the reality and feasibility of the new chaotic system. Second, the random number homogenization universal algorithm is used to modify the amplitude of the chaotic sequences generated by the new chaotic system. The uniformity and correlation analysis prove that the Dither signal has strong uniformity and randomness. Third, a behaviour-level simulation model of the pipeline ADC is built; then, the narrowband, broadband and different amplitude Dither signals are added to verify the improvement effect for the dynamic performance of the ADC. The experimental results demonstrate that the designed method can improve the SFDR of the ADC by 10.37 dBc, which effectively eliminates the harmonic energy and improves the dynamic performance of the ADC.

“…If the system has complex chaotic behavior, its power spectrum is continuous and has no obvious peak [43]. Figures 6(a), (b) show the power spectra of the chaotic sequences x and y.…”

Section: Power Spectrummentioning

confidence: 99%

Dynamical analysis of a new chaotic system and its application in ADC

Shen¹,

Zou²,

Zhang³

et al. 2022

“…However, high-dimensional chaotic systems will also cause a huge computational complexity. Balancing the advantages and the disadvantages of high-and low-dimensional chaotic systems to construct a suitable chaotic system becomes a new issue [18][19][20][21][22]. In [18], a new twodimensional Logistic-Sine-Henon map was designed, which has a better chaotic performance by comparisons.…”

Section: Introductionmentioning

confidence: 99%

Image encryption algorithm based on ElGamal cryptography and selective random diffusion

Guo,

He,

2023

Some current image encryption schemes are independent of the plaintext, leading to a vulnerability to the chosen-plaintext attack under symmetric structure. To address this issue, an asymmetric image encryption algorithm with plaintext correlation is suggested, after analyzing various image encryption schemes using chaotic systems. First, a three-dimensional New Logistic-Sine Map (NewLSM) is designed by coupling Logistic map and Sine map, considering them as seed maps. Analyses prove that the NewLSM has a wider continuous chaotic interval and more complex chaotic behavior than seed maps. Secondly, to enhance the keystream associated with plaintext, a new key acquisition model is constructed, i.e., NewMKG, by combining the hash function SHA-3 with the public key ElGamal cryptography. Then, employing the NewLSM and the NewMKG, a new image encryption algorithm with asymmetric structure is presented using classical framework of confusion-diffusion. In particular, a new diffusion method is proposed after confusion, namely, selective random diffusion (NewSRD). Moreover, experiments and analyses indicate that a good performance can be reached for the proposed algorithm. For example, the value of information entropy for the obtained cipher image is close to eight.

“…Due to some inherent features of digital images, such as high redundancy [4], large data capacities and strong correlation [5], common encryption algorithms, such as the data encryption algorithm (DES) and international data encryption algorithm (IDEA), do not encrypt digital images effectively [6,7]. Chaos-based cryptosystems have better encryption performance [8,9] due to the inherent characteristics of chaotic systems, such as unpredictability [10], large bandwidth [11] and extreme sensitivity to system parameters and initial conditions [12][13][14][15]. Because a high-quality digital-image encryption scheme that combines logical mapping and chaotic systems was proposed in 1989 [16,17], many image encryption algorithms with high security have been successively designed [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A novel solar radio spectrogram encryption algorithm based on parameter variable chaotic systems and DNA dynamic encoding

Shen¹,

Zou²,

Zhang³

et al. 2022

Considering that chaotic systems are highly sensitive to parameters, we design two new parameter variable chaotic systems by constructing parameter perturbation items. These systems are constructed using the state variables of the Liu chaotic system to perturb the parameters of the Lorenz and Chen chaotic systems and are called the Lorenz-Liu chaotic system (LLCS) and Chen-Liu chaotic system (CLCS), respectively. In particular, the parameter perturbation items constructed in this study are not periodic but rather chaotic signals and change in real time. Compared with the original systems, they exhibit more complex randomness and dynamic behaviors. In the proposed cryptosystem, which considers the concept of Deoxyribonucleic Acid (DNA), the solar radio spectrogram is dynamically encoded through the LLCS, and then, the CLCS is used to scramble and diffuse the decoding matrices. In addition, the algorithm uses the 256-bit Secure Hash Algorithm (SHA-256) to generate the initial keys, which enhances the algorithm’s sensitivity to plaintext. Simulation results and security analysis show that the cryptosystem has a large key space and high key sensitivity, and can resist various attacks, such as differential attacks and chosen-plaintext attacks.