Secure image encryption scheme using 4D-Hyperchaotic systems based reconfigurable pseudo-random number generator and S-Box

This paper introduces the design of a hardware efficient reconfigurable pseudorandom number generator (PRNG) using two different feedback controllers based four-dimensional (4D) hyperchaotic systems i.e. Hyperchaotic-1 and -2 to provide confidentiality for digital images. The parameter's value of these two hyperchaotic systems is set to be a specific value to get the benefits i.e. all the multiplications (except a few multiplications) are performed using hardwired shifting operations rather than the binary multiplications, which doesn't utilize any hardware resource. The ordinary differential equations (ODEs) of these two systems have been exploited to build a generic architecture that fits in a single architecture. The proposed architecture provides an opportunity to switch between two different 4D hyperchaotic systems depending on the required behavior. To ensure the security strength, that can be also used in the encryption process in which encrypt the input data up to two times successively, each time using a different PRNG configuration. The proposed reconfigurable PRNG has been designed using Verilog HDL, synthesized on the Xilinx tool using the Virtex-5 (XC5VLX50T) and Zynq (XC7Z045) FPGA, its analysis has been done using Matlab tool. It has been found that the proposed architecture of PRNG has the best hardware performance and good statistical properties as it passes all fifteen NIST statistical benchmark tests while it can operate at 79.101-MHz or 1898.424-Mbps and utilize only 0.036 %, 0.23 %, and 1.77 % from the Zynq (XC7Z045) FPGA's slice registers, slice LUTs, and DSP blocks respectively. Utilizing these PRNGs, we design two 16 × 16 substitution boxes (S-boxes). The proposed S-boxes fulfill the following criteria: Bijective, Balanced, Non-linearity, Dynamic Distance, Strict Avalanche Criterion (SAC) and BIC non-linearity criterion. To demonstrate these PRNGs and S-boxes, a new three different scheme of image encryption algorithms have been developed: a) Encryption using S-box-1, b) Encryption using S-box-2 and, c) Two times encryption using S-box-1 and S-box-2. To demonstrate that the proposed cryptosystem is highly secure, we perform the security analysis (in terms of the correlation coefficient, key space, NPCR, UACI, information entropy and image encryption quantitatively in terms of (MSE, PSNR and SSIM)).     

抵御已知/选择明文攻击的混沌图像加密算法

论文在对现有一类典型图像混沌加密算法的分析基础上,提出了一种改进的图像混沌加密算法。该算法引入小波变换,可以有效地克服一些混沌加密算法不能抵御已知/选择明文攻击的缺陷。     

基于一类T-模的模糊Hopfield网络的稳定性分析

本文建立了基于一类T-模的一种动态模糊神经网络-(∨,T)Hopfield网.文章首先证明了系统本身的稳定性及系统平衡态的Lyapunov稳定性,然后建立了吸引子的一个非平凡吸引域,使系统具有良好的容错性.最后,通过例子验证了得到的结论.     

一种混沌信号去噪方法的研究

以Takens嵌入定理和影子定理为理论依据，提出一种能对混沌信号去噪的局部投影方法。该方法不需潜在动力学系统的先验知识，符合工程实用的要求。通过实验结果表明这种方法对混沌信号去噪很有效。     

混沌电路同步的研究

本文叙述对混沌电路实现同步控制的实验研究之初步结果。所用的电路为蔡氏电路和锁相环电路。这项研究工作在通信系统中有应用前景。     

数字混沌扩频序列的盲估计

混沌序列具有非线性、宽带类噪声、大的码族、任意长的周期且容易产生的特性,因此在扩频通信系统中很有实用价值。本文将文献[1]中对伪随机扩频序列盲估计的方法推广应用到混沌扩频通信中,并对其不足提出了改进方法。在只知道扩频码周期而无其它任何先验知识的条件下,利用特征值分析的方法可以对数字混沌直扩序列进行盲估计,仿真实验证明了该方法的有效性。     

Optimal control of nonlinear systems to given orbits

Using optimal control techniques we derive and demonstrate the use of an explicit single-step control method for directing a nonlinear system to a target orbit and keeping it there. We require that control values remain near the uncontrolled settings. The full nonlinearity of the problem in state space variables is retained. The “one-step” of the control is typically a composition of known or learned maps over (a) the time required to learn the state, (b) the time to compute the control and (c) the time to apply the control. No special targeting is required, yet the time to control is quite rapid. Working with the dynamics of a well-studied nonlinear electrical circuit, we show how this method works efficiently and accurately in two situations: when the known circuit equations are used, and when control is performed only on a Poincaré section of the reconstructed phase space. In each case, because the control rule is known analytically, the control strategy is computationally efficient while retaining high accuracy. The target locations on the selected target trajectory at each control stage are determined dynamically by the initial conditions and the system dynamics, and the target trajectory is an approximation to an unstable periodic orbit of the uncontrolled system. A linear stability analysis shows that dissipation in the dynamical system is essential for reaching a controllable state.     

Electronic locking devices based on microcontrollers and chaotic maps using Model-Matching Control

In this work a real-time communication system using Arduino® microcontrollers, applied to electronic locking devices, is implemented. Model-Matching Control is used to achieve synchronization between transmitter and receiver Arduino® microcontrollers using only one transmission channel. Model-Matching Control is fed with dynamics from both Arduinos. Transmitter Arduino® is used also to generate in real-time an encrypted chaotic code key based on the Chen map. Receiver Arduino® recover in real-time the chaotic code key that is a binary signal key of an electronic locking device and where wireless communication is made between the two Arduinos using Bluetooth modules. System evaluation in terms of performance, randomness, and time complexity, are shown, as well as experimental results and some discussions are presented.     

Chaos-based joint compression and encryption algorithm for generating variable length ciphertext

Here we modify a chaos-based joint compression and encryption algorithm previously proposed by us. Two modifications are suggested for improving the compression performance and generating ciphertext with variable length, respectively. The first goal is achieved by counting the number of distinct symbols visited by the chaotic search orbit, rather than the total number of iterations of the chaotic map. The second objective is realized by introducing a user-chosen parameter to determine the ratio between the search and the mask modes. The performance of the modified algorithm is justified by simulation results using standard test files.     

分数阶Chen混沌系统同步及Multisim电路仿真

本文针对参数已知和未知的分数阶Chen混沌系统,研究其同步控制问题。利用分数阶系统稳定性理论,设计并实现了系统的反馈控制器;同时运用Multisim软件设计实现了分数阶系统同步的混沌电路,验证了所提出同步方法的有效性和可实现性。