A chaotic secure communication scheme based on synchronization of double-layered and multiple complex networks

This paper presents a secure chaotic communication scheme using observer-based synchronization of chaotic systems. A class of chaotic systems satisfying incremental quadratic constraints are considered as the transmitter. The original message is encrypted in the noise-like output of the system. A circle criterion-based observer is designed for the system as the receiver by using the linear matrix inequalities technique. The message is recovered at the receiver end from the estimation error of the observer. To design the observer, a general algorithm to calculate incremental multiplier matrices for nonlinearities in chaotic systems is presented. Moreover, the proposed observer-based chaotic secure communication scheme is feasible for many common chaotic systems with ellipsoidal bounds. The simulation results show the good performance of the proposed communication scheme through an example of image transmission.

본 논문에서는 카오스 신호를 이용하여 음성신호의 보안전송을 위한 아날로그 비화통신 시스템을 제안하고 통신성능을 분석하였다. 기존의 카오스 동기화 및 카오스 변조통신 알고리즘을 개선하여 통신환경에서 발생하는 다양한 조건들을 적용하여 음성신호의 복원능력을 모의실험 하였다. 일반적인 PC(Pecora ＆ Carroll) 제어기법과 제안한 SFB(Self-FeedBack) 마스킹 기법을 사용하여 송신단에서 음성신호를 카오스 신호로 마스킹하여 변조하고, 통신채널에 잡음신호를 추가하여 전송하였다. 수신단에서는 카오스 응답시스템을 이용하여 음성신호를 복조하고, 복원성능을 계산하기 위하여 아날로그 복원 에러 신호의 평균전력을 제안하여 계산하였다. 실험결과 마스킹 정도, 파라미터들의 민감성, 채널잡음 등에 대하여 PC 제어기법보다 피드백 제어기법의 복원성능이 우수함을 정량적인 데이터로 확인할 수 있었다. 또한 로렌쯔 카오스 비화통신시스템에 사용할 경우 파라미터들의 조합으로 암호키를 구성해야 하므로 파라미터 변화율에 대응하는 복원에러율의 관계를 모의실험 값으로 구하였다. This paper presents analog secure communication system about safe speech transmission using chaotic signals. We applied various conditions that happen in actuality communication environment modifying chaotic synchronization and chaotic communication schemes and analyzed restoration performance of speech signal to computer simulation. In transmitter, we made the chaotic masking signal which is added voice signal to chaotic signal using PC(Pecora ＆ Carroll) and SFB(self-feedback) control techniques and transmitted encryption signal to noisy communication channel And in order to calculate the degree of restoration performance, we proposed the definition of analog average power of recovered error signals in receiver chaotic system. The simulation results show that feedback control techniques can certify that restoration performance is superior to quantitative data than PC method about masking degree, susceptibility of parameters and channel noise. We experimentally computed the table of relation of parameter fluxion to restoration error rate which is applied the encryption key values to the chaotic secure communication.

Chaotic signals can be applied to confidential communications because of their noise-like, broad-spectrum and unpredictable properties. However, using the internal parameters of the laser as the key for communication is not only not easy to change, but also the key parameter space is limited. Therefore, increasing the key space is crucial for the security of chaotic confidential communication systems. In this paper, we propose to increase the key space of chaotic optical communication system by using multi-section semiconductor laser (MSSL), which increases the number of key parameters and increases the key space of the system. Finally, the validity of the ideas proposed in this paper is verified through experiments.

Chaotic optical communication at high bit rates has attracted great attention because of its potential application in secure communications. In a chaotic optical communication system, a message can participate in the dynamics of the nonlinear system and further affect the characteristics of the chaotic carrier waveform. Message encoding can also change the synchronization quality if an encoding scheme breaks the symmetry between a transmitter and a receiver. In this presentation, we experimentally investigate the influence of message encoding on the characteristics of chaotic dynamics, chaos synchronization, and chaotic communication, using three encoding schemes, namely chaos shift keying, chaos masking, and chaos modulation, with the setup of a chaotic optical communication system with optoelectronic feedback. The chaos shift keying and chaos modulation schemes are found to be able to increase the complexity of the chaotic carrier waveform due to the random nature of the encoded message. Meanwhile, the chaos shift keying and chaos masking schemes are found to deteriorate the synchronization quality when the amplitude of the message is increased. Consequently, only the chaos modulation scheme has the desired feature in increasing the complexity of the chaotic carrier waveform while maintaining the quality of chaos synchronization, which is an important feature in secure communication.

In recent years, a large amount of work on chaos-based cryptosystems has been published (Kocarev (2001); Millerioux et al. (2008)). A general methodology for designing chaotic and hyperchaotic cryptosystems has been developed using the control systems theory (Grassi et al. (1999); Liao et al. (1999); Yang et al. (1997a;b)). The chaotic communication system is closely related to the concept of chaos synchronization. An overview of chaotic secure communication systems can be found in (Yang (2004)). He classified the continuous-time chaotic secure communication systems into four generations. In the third generation, the combination of the classical cryptographic technique and chaotic synchronization is used to enhance the degree of security. Specifically, Yang et al. proposed a new chaos-based secure communication scheme in an attempt to thwart the attacks (Yang et al. (1997a;b)). They have combined both conventional cryptographic method and synchronization of chaotic systems. Their cryptographic method consists of an encryption function (the multi-shift cipher), a decryption function (the inverse of the encryption function), a chaotic encrypter that generates the key signal for the encryption function, and a decrypter that estimates the key signal. The approach has a limitation since the cryptosystem design may fail if different chaotic circuits are utilized. So far, this generation has the highest security in all the chaotic communication systems had been proposed and has not yet broken. From the control theoretic perspective, the transmitter and the receiver in the chaotic communication system can be considered as the nonlinear plant and its observer, respectively. Grassi et al. proposed a nonlinear-observer-based decrypter to reconstruct the state of the encrypter (Grassi et al. (1999); Liao et al. (1999)). They extended the Chua’s oscillator to the observer-based decrypter. The cryptosystem does not require initial conditions of the encrypter and the decrypter belonging to the same basin of attraction. If we can design a decrypter without the knowledge of the parameters of the encrypter, the chaos-based secure communication systems are not secure, because the parameters of the encrypter is selected as static secret keys in the cryptosystem. Parameter identification and adaptive synchronization methods may be effective for intruders in building reconstruction mechanisms, even when a synchronizing system is not available. Therefore, it is important for secure issues to investigate whether adaptive identifiers without the system information of encrypter can be constructed or not. We have recently designed an observer-based chaotic communication system combining the cryptosystems proposed by Grassi et al. (Grassi et al. (1999)) and by Liao et al. (Liao et al. (1999)) that allows us to assign the relative degree and the zeros of its encrypter system (Matsuo et al. (2004)). Specifically, we constructed three cryptosystems based on a Chua’s circuit by assigning its relative degree and zeros. The cryptosystem consists of 20

A novel universal approach for design and implementation of chaotic digital communication system based on IEEE-754 standard and field programmable gate array technology (FPGA) is proposed, combing chaos encryption with traditional cipher realization. By using the Euler algorithm and appropriate discrete processing, the continuous chaotic system is converted to a discrete chaotic system. Using FPGA hardware design system, digital chaotic sequence is generated as the key. Scrambling and expansion encryption algorithm is realized and analyzed. Driven and response of secure communication system is designed by constructing a loop including the signal and achieving chaotic synchronization between sender and receiver. Taking grid Chua chaotic system as an example, the secure communication system using FPGA hardware platform is implemented. The technical development process, algorithm flow chart, hardware design and realization result are also given.

Chaotic spread spectrum communication systems are sought after for their high levels of security, derived from the apparent randomness of the underlying chaotic spreading signal. Traditionally this "randomness" is quantified by the use of Lyupanov exponent(s) that give rates of chaotic state divergence, for continuous-time chaotic circuits. The downside of such continuous-time analog chaotic systems is that they are difficult to synchronize, leading to reduced channel capacity via re-synchronization overhead or compromises in security. These chaotic signals also possess colored spectra, leading to detection and channel utilization disadvantages. Discrete-time and -amplitude systems are simpler to implement, yet more difficult to quantify their "chaotic-ness;" the rate of state divergence is dependent on both computational precision and sampling intervals in sequence generation. Moreover, the existence of a well-defined chaotic attractor is evidence of a failure to meet the desired maximal entropy signal characteristic required for maximum channel capacity throughput. This paper presents comparative simulation measures quantifying the underlying randomness and computational sensitivities for a collection of digital chaotic mappings, qualifying their suitability for use in secure communication systems. Under most measures, the tent map and the logistic map fail to meet the needed performance. The skew tent mapping is found to be better, yet techniques for closed field calculations are found to be superior, without a significant increase in computational resources.

In wireless communications, chaotic communications have been a field of interest due to its low complexity in hardware implementation and low power consumption in chaotic signal generation. Among the modulation schemes using the chaotic signal, Differential Chaos Shift Keying (DCSK) is a robust noncoherent technique. Multiple-input multiple-output (MIMO) system is a technology that uses multiple transmit and/or multiple receive antennas in order to improve the system performance in wireless systems. In our paper, we have proposed a new scheme of MIMO-DCSK which utilizes the benefits of MIMO system into the chaotic communication system by transmitting and receiving DCSK modulated signals through multiple antennas. Our analysis and simulation results show how the chaotic communications in the new MIMO-DCSK benefits over the single input single output (SISO) system and the BER performance of DCSK in additive white Gaussian noise (AWGN) channels using Alamouti space-time code and the maximum likelihood decoding is analyzed.

The objective of this paper is to present a low-power realization of a Chaotic Communication (CC) system. We propose a CC scheme that represents an efficient solution in terms of complexity, power consumption, information transmission security, and performance. the newly proposed system is realized by cascading two circuits, namely a nonlinear third order IIR filter and a modified Colpitts oscillator. It is shown that the latter circuit behaves chaotically and the synchronization mechanism can be used to build a complete communication system. The experimental results show that, in terms of power dissipation, the scheme that we propose performs much better (about 2.5 times) compared to other implementations proposed so far for CC. Directions to further decrease the power consumption are suggested.

In this paper, a Virtex-7-based video chaotic secure communication scheme is investigated. First, the network sending and receiving controller Intellectual Property (IP) cores are designed. Next, the chaotic encryption and decryption IP cores are implemented using fixed-point algorithm, pipeline operation, and state machine control. Thus, video capturing, video displaying, network sending, network receiving, chaotic encrypting, and chaotic decrypting can be achieved via IP core integration design. An improved 7D chaotic stream cipher algorithm for resisting divide-and-conquer attack is then designed and realized on a Virtex-7 high-end FPGA platform. Hardware experimental results are also given to verify the feasibility of the scheme.

Due to rapid developments in computer networking and communi- cation technology, users have begun to use personal computers to transmit images through the internet. However, this activity puts users at risk of hacker attacks and theft. Although single pixel position shuffling can eliminate an image’s contour, it cannot hide the characteristics of the grey-level spectrum. Because the dynamic trajectories of a chaotic system are highly sensitive to the initial values of the system, applying chaotic-ciphering to the image will result in a good encryption effect, and significantly enhance the key space of the encrypted image. For these reasons, this paper propose a novel and simple Bit-Chaotic-Shuffle (BCS) technique for encryption on color images that is based on multi chaotic systems. This technique not only eliminates image contours, but also disorders the characteristics of the RGB-level spectrum. This encryption method also adopts three chaotic systems in which the key space reaches 10137, thoroughly preventing decryption by an exhaustive attack. This paper further applies the correction coefficient and Mean Square Error (MSE) methods to prove the encryption and the high security performance of the proposed encryption system

Modelling of long-wave chaotic radar system for anti-stealth applications

A bidirectional high-speed chaotic optical communication scheme with physical layer encryption is proposed and studied theoretically. The external cavity optical feedback method is analyzed. An erbium-doped fiber amplifier is used to represent the all-optical delay feedback loop of the traditional external cavity; it can overcome the shortcomings of the traditional method such as lower precision and high equipment volume requirements. The bidirectional communication scheme is discussed; it sets the encryption device at the transmitter, uses the correlation between the two encryption signals to decrypt, and cancels the decryption device at the receiver, which not only simplifies the experimental equipment but also solves the problem that the receiver cannot decrypt synchronously due to the channel damage in remote communication. Further, it is easily applied in production and life. Finally, the simulation results show that the bit error rate is <10 − 5, and the bidirectional transmission of 10-Gb / s information over an 85-km single-mode fiber is successfully realized.

In this work, a secure second-order discrete time delta sigma (ΔΣM) modulator is used to securely modulate two physiological signals for e-health applications. The chaotic system used is a new 3D chaotic system that is used to generate random keys for encryption. Quintic nonlinearity is integrated into the existing sprott chaotic system and then studied via nonlinear dynamics tools, which reveal complex dynamics, including the coexistence of three distinct chaotic attractors and the phenomenon of intermittency. A microcontroller implementation of the system is performed to demonstrate its real-life applicability. The bits generated from the chaotic regime of the proposed oscillator are tested successfully via the NIST-800.22 test. The pseudo random bit streams generated from the chaoticity of the oscillator using the system parameters and initial conditions as secret keys are used in a 2-stage confusion process to encrypt two physiological signals. At the receiving end, the physiological signals are successfully recovered, and some standard metrics, such as key space analysis, key sensitivity, and cross-correlation, are applied to verify the strength of the encryption scheme. A comparison with recent and good standing contributions in the literature is also provide at the end of this work, which shows that the proposed scheme is robust against common attacks. The results obtained in this study open the possibility of applying chaos in digital communication systems for the conception of secure e-health services.p. 2Highlights• A new random chaotic system applicable in information protection is conceived and experimented.• Random encryption data are successfully generated from the chaotic system in its confused state and tested statistically. • Patient's ECG signal is securely transferred via a secure and simple communication scheme.

In this work, an improved nonlinear estimator based scheme is introduced to enhance the performance of a previously proposed chaotic digital communication scheme. The earlier scheme was improved in two ways. First the speed of the scheme is improved by a factor greater than ten, therefore is more suitable for real time communication where all delays (including processing time) must be kept extremely small in applications such as radar communication, telephony, and videoconferencing. Second, the new scheme's bit error rate performance is superior to that of the previous one. The key factor for the fast decoding of this new algorithm is that it is designed based on faster divergence of the estimator in case of chaotic system mismatch. Simulation results are provided and show the feasibility and superiority of our scheme over the earlier proposed one.