Synchronized chaotic mode hopping in DBR lasers with delayedopto-electric feedback

We propose and demonstrate a scheme for generating synchronized chaotic mode hopping in two wavelength-tunable lasers. Chaotic mode hopping resulting in large hops in wavelength is induced by delayed feedback of an electrical signal proportional to the intensity of the laser output which passes through an optical filter. Mode hopping among up to 11 modes was experimentally observed and optical signals in each wavelength band show a different on-off modulation time series. Analysis of the time series indicates high dimensionality. By using a unidirectional coupling method that injects part of the output of one laser into another, we can synchronize the chaotic mode hopping of two separate lasers and obtain synchronized chaotic on-off modulation patterns in multiple corresponding wavelength bands. The robustness of the synchronization with respect to the parameter mismatch and the effects of the coupling strength are investigated. The chaotic mode hopping dynamics and synchronization are well described with a numerical model that includes the characteristics of the laser tuning and the filter transmission. A multiplexed data transmission scheme using chaotic carriers is proposed and experiments demonstrate that multiple messages can be simultaneously recovered when chaos synchronization is achieved     

一种通过异结构同步实现混沌保密通信新方法

该文提出通过异结构混沌同步和参数调制实现保密通信的新方法。在发送端将信息信号调制到混沌系统的某个参数中,根据Lyapunov稳定性定理,构造合适的控制器,实现了异结构混沌系统的完全同步;在接受端采用非线型滤波器,使信息信号得以有效地恢复,实现信号安全保密传输。仿真结果表明,系统快速达到同步,经参数调制的信号能有效恢复,成功地实现保密通信,具有较强的保密性和实用性。     

Phase locking and chaos synchronization in injection-locked semiconductor lasers

We theoretically studied synchronization of chaotic oscillation in semiconductor lasers with chaotic light injection. Feedback-induced chaotic light generated from a master semiconductor laser was injected into a solitary slave semiconductor laser. The slave laser subsequently exhibited synchronized chaotic output for a wide parameter range with strong injection and frequency detuning within the injection-locking regime. Our numerical simulation revealed that the synchronized slave laser exhibits remarkable phase locking, even for chaotic light injection. Consequently, synchronization in phase fluctuations becomes dominant over intensity fluctuations. We found that there exists a parameter range where the slave can synchronize in phase only, with no intensity synchronization. However, synchronization can be completely destroyed, both in phase and in intensity, when the phase locking becomes unstable due to four-wave mixing or excited resonance oscillation. The phase locking was studied analytically and the correspondence between numerical and analytical results was shown. We also analytically examined chaos synchronization based on a linear stability analysis from the viewpoint of modulation response of injection-locked semiconductor lasers to a chaotic light signal. As a result, we verified that such injection-locking-induced chaos synchronization results from a quasilinear response of the bandwidth-broadened slave laser due to strong optical injection.     

两台多模激光场强度和相位的混沌同步

对空间耦合的两台多模激光场的强度和相位的动力学行为进行了理论分析.当系统的损失受到调制时,在一定的参数范围内,两台激光输出的总强度之间会出现很好的混沌同步,两台激光的对应模式之间也出现相应的混沌同步,但不同模式之间则是完全的混沌状态,每台激光的各个模式强度之间存在模式竞争现象.每台激光场不同模式的相位和相位差之间出现有趣的关系,与强度的混沌同步存在一定的联系.     

Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization

Mismatch robustness and its effects on security of chaotic optical communication system based on injection-locking chaos synchronization are studied numerically by establishing the corresponding SIMULINK model. Unlike previous studies, we focus on the communication relating issues when parameter mismatches are considered. The mismatch robustness of generalized synchronization is discussed firstly in terms of cross-correlation coefficient and synchronization error. Decoding performances as well as the effects of message strength are examined for both with and without mismatch cases. Effects of injection strength on system decoding performances are also investigated by examining the chaos-pass filtering effect. Finally, a modified decoding scheme is brought forward to improve the system decoding capability. Results show that the system under consideration exhibits unconspicuous difference in both synchronization and decoding characteristics when large parameter mismatches are considered. The system based on injection-locking chaos synchronization is inappropriate for the applications where high transmission security is necessary.     

Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback

Theoretical and experimental investigations of chaos synchronization and its application to chaotic data transmissions in semiconductor lasers with optical feedback are presented. Two schemes of chaos synchronization-complete and generalized synchronization-are discussed in the delay differential systems. The conditions for chaos synchronization in the systems and the robustness for the parameter mismatches are studied. The possibility of secure communications based on the chaos masking technique in semiconductor lasers with optical feedback is also discussed, and message transmission of a 1.5-GHz sinusoidal signal is demonstrated. The method of bandwidth enhancement of chaotic carriers is proposed for broad-band chaos communications.     

简单分段线性混沌系统与SETMOS混沌系统的自适应广义同步

研究了基于SETMOS构成的、参数未知的类双涡卷混沌系统与结构不同的简单分段线性混沌系统的广义自适应同步方法。通过分析混沌系统的特点和广义同步的定义,基于李雅普诺夫稳定性理论,提出了一种新颖的、结构简单的自适应控制器和参数更新律,来实现不同结构、驱动系统参数未知的混沌系统的广义同步。这种方法还可以应用于不同结构或相同结构的其他同步问题,如自适应广义反同步等,应用范围较广。仿真结果进一步证实了该方法的有效性和可行性。     

单参数统一混沌系统的自适应控制同步

研究了单参数统一混沌系统的同步问题,提出了参数自适应控制同步方法;通过构造适当的控制函数和设计参数的自适应控制律,实现了两个不同参数的统一混沌系统的同步;根据Lyapunov稳定性定理,导出了两不同参数混沌系统能实现同步的充分条件,无论驱动系统处于何种状态,该方法都可使响应系统按照驱动系统给定的轨道演化。数值仿真表明了该方法的有效性。     

参数未知的时延混沌系统滑模变结构同步控制

将滑模控制策略用于时延混沌系统的同步,采用了对系统参数摄动鲁棒性好的变结构控制,使系统对噪声和参数失配情况具有更强的鲁棒性。同时将自适应技术、系统辨识技术应用于系统中的未知参数逐步逼近,实现具有扰动以及参数未知的时延混沌系统的同步。仿真结果证实了该方法的有效性。     

高阶QAM信号多状态自适应卡尔曼滤波载波同步算法

通信信号盲载波恢复是非协作模式下接收方解调的关键环节之一。为提高频偏捕获范围与速度,同时有效增强算法跟踪时变频偏能力,本文针对正交幅度调制(QAM)信号,通过理论推导得出滤波器环路带宽的变化特性,提出一种基于自适应判决引导扩展卡尔曼滤波的载波同步算法。该算法在现有卡尔曼滤波载波同步算法的基础上,引入多状态自适应切换机制自适应地改变滤波器参数,并依据实验测试数据分析得出调整原则并完成滤波器参数的选取。理论分析和仿真表明,与已有的卡尔曼载波同步算法及二阶数字锁相环算法相比,该算法不仅捕获速度更快范围更大,且能在存在时变多普勒频移的情况下较好地跟踪时变频偏和相位,在大频偏条件下的算法跟踪性能与鲁棒性等方面均有优势。      

Weak signal detection and adaptive synchronous stability of a novel fifth-order memristive circuit system

This paper is devoted to introduce a novel complex fifth-order memristive circuit system and its applications in synchronous stability and weak signal detection. Firstly, the typical dynamical behaviors of the memristive system are discussed by chaotic phase portrait, complexity analysis, one-parameter bifurcation and Lyapunov exponent spectrum. Secondly, the adaptive control method is applied to realize the synchronization between the drive memristive system (DMS) and the response memristive system (RMS). The results indicate that the synchronization method has strong robustness and anti-interference ability. Thirdly, the weak signal detection of the novel five-dimensional memristive system is realized by using the extreme sensitivity of chaotic system to initial values. Finally, the fifth-order memristive circuit is designed by using basic electronic elements and simulated by Multisim software. And the anti-interference ability and sensitivity of the fifth-order memristive circuit are further verified by adding different weak disturbance signals at different positions of the circuit.     

Synchronization and communication using semiconductor lasers withoptoelectronic feedback

Semiconductor lasers provide an excellent opportunity for communication using chaotic waveforms. We discuss the characteristics and the synchronization of two semiconductor lasers with optoelectronic feedback. The systems exhibit broadband chaotic intensity oscillations whose dynamical dimension generally increases with the time delay in the feedback loop. We explore the robustness of this synchronization with parameter mismatch in the lasers, with mismatch in the optoelectronic feedback delay, and with the strength of the coupling between the systems. Synchronization is robust to mismatches between the intrinsic parameters of the lasers, but it is sensitive to mismatches of the time delay in the transmitter and receiver feedback loops. An open-loop receiver configuration is suggested, eliminating feedback delay mismatch issues. Communication strategies for arbitrary amplitude of modulation onto the chaotic signals are discussed, and the bit-error rate for one such scheme is evaluated as a function of noise in the optical channel     

码分多址混沌通信的相关解调

本文给出了码分多址混沌通信的一种同步和解调方法,其核心就是以混沌序列作为地址码,利用混沌序列优越的相关特性进行相关解调和同步。系统同步不需要发送专门的同步信号,直接利用所发射的载有信息的调制信号进行相关同步;改进的同步方法简单可靠,使系统同步时间减少50％;系统仿真实验证明了该方法的正确性和有效性。     

Gain Scheduling Synchronization Method for Quadratic Chaotic Systems

A global gain scheduling synchronization method is developed in this paper for the identical synchronization of quadratic chaotic systems. The quadratic chaotic system contains nonlinearity of quadratic terms of system's states. With chaotic states being bounded in certain regions, the quadratic chaotic system can be rewritten into the linear parameter varying (LPV) form through algebraic transformations. Then, using the gain scheduling technique, two different synchronization structures are proposed to achieve the global synchronization for the quadratic chaotic system. The convergence of the synchronization errors is guaranteed under the second Lyapunov stability theory. Generalized Lorenz systems, such as the Chen system and the Lorenz system, are illustrated as examples to demonstrate the efficiency of the proposed methods.     

Open-versus closed-loop performance of synchronized chaotic external-cavity semiconductor lasers

We numerically study the synchronization or entrainment of two unidirectional coupled single-mode semiconductor lasers in a master-slave configuration. The emitter laser is an external-cavity laser subject to optical feedback that operates in a chaotic regime. The receiver can either operate at a chaotic regime similar to the emitter (closed-loop configuration) or without optical feedback and consequently under continuous-wave conditions when it is uncoupled (open-loop configuration). We compute the degree of synchronization of the two lasers as a function of the emitter-receiver coupling constant, the feedback rate of the receiver, and the detuning. We find that the closed-loop scheme has, in general, a larger region of synchronization when compared with the open loop. We also study the possibility of message encoding and decoding in both open and closed loops and their robustness against parameter mismatch. Finally, we compute the time it takes the system to recover the synchronization or entrainment state when the coupling between the two subsystems is lost. We find that this time is much larger in the closed loop than in the open one.     

Improved auxiliary particle filter‐based synchronization of chaotic Colpitts circuit and its application to secure communication

In this paper, we propose a synchronization scheme based on an improved auxiliary particle filter (IAPF) for chaotic Colpitts circuit and conduct an experimental study on the synchronization performance with application to secure communications. Specifically, with the synchronization scheme, when the chaotic signals generated by an analog Colpitts circuit are transmitted through a nonideal channel, the distorted signals are processed digitally by the novelly designed IAPF at the receiver, in order to obtain the synchronized signals of the transmitter circuit. Experimental results indicate that synchronization can be achieved over both the additive white Gaussian noise channel and the multipath fading channel with low signal‐to‐noise ratio, even if there exist severe circuit parameter mismatches between the transmitter and the receiver. Furthermore, a chaos‐masking secure communication system is constructed and verified over both the additive white Gaussian noise channel and the multipath fading channel, and the bit error rate is evaluated versus different signal‐to‐noise ratios and symbol periods. It is shown that the achievable bit error rate can reach the order of magnitude of 10 ^{− 4} without error correction coding techniques. In addition, security analysis demonstrates that the proposed chaotic secure communication system is resistant to the brute‐force attack. Copyright © 2013 John Wiley & Sons, Ltd.     

一种可完全线性化的不同类型混沌系统同步方法

讨论可完全线性化的不同类型混沌系统之间的同步问题.根据滑模控制原理求取混沌同步控制形式,利用扩张状态观测器对系统信息进行渐进估计,把复杂的滑模控制策略变为可实现的控制方式,以此实现具有不确定性混沌系统的同步.以Duffing和Vander Pol系统为例进行仿真,效果良好.     

统一混沌系统与其变形系统间的间歇反馈同步控制

采用间歇反馈控制方法,研究了统一混沌系统与其变形系统间的同步控制问题。通过合理设计间歇反馈控制器,将同步问题转化为误差动力学系统方程在原点处的收敛问题。根据连续系统的稳定性准则及相关实验,推导出了满足同步条件的同步定理。分析了初始值X(0)和Y(0)、反馈系数k、比例因子D、步长h以及统一系统参数对同步系统的同步性能的影响。最后,采用间隙反馈同步方案,设计了一个混沌掩盖保密通信系统,并进行了仿真研究。仿真实验研究证明了该同步方法的有效性。     

连续混沌系统的自适应同步控制方法

针对混沌同步过程中参数摄动而带来的同步困难问题,提出一种自适应同步控制规则,并根据此控制规则设计自适应控制器,理论分析和仿真实验表明该规则可完成对不确定参数和不同初始条件下的连续混沌系统的参数辨识和同步控制。     

不同阶混沌Colpitts电路系统的同步

针对四阶和三阶混沌Colpitts电路系统,利用Active方法对系统的同步进行了研究,实现了不同阶Colpitts电路系统在超高频域内的主从混沌同步。同时对系统在存在内部参数扰动和外部干扰的情况下,分析了控制器的鲁棒性。最后通过数值示例进行仿真,对文中论述进行了强有力的验证。