摘要
本文将混沌Dufng系统应用于保密通信领域。采用移频键控方案对不同的信号进行调制,如:烤箱信号和正弦信号。实践证明,混沌载波可以方便、高效地对信号进行调制解调,这与接收单元和透射单元之间的耦合系数有关。由于时间序列行为中不存在完全相同的混沌系统,假设在初始条件下存在两个不同的混沌系统,一个被称为发射单元,另一个被称为接收单元,分别为:XI1,YI1,XI2,YI2,其中两个系统耦合到称为耦合因子的外部激励。耦合因子k从0变为100a.u。在该值处获得正弦信号和烘箱的完全同步。此外,正弦信号的频率和放大值对信号传输秘密有限制,烤箱信号的输入值也有限制。通过对多个耦合因子值的实验,发现当耦合因子值为k=100时,两个单元完全同步。其中error函数变为零并下降到within±0.001.观察到在振幅和频率A=0.1,f=0.01.发送的信号是清晰的,在发送信息时没有保密性,而在振幅A=0.1、f=0.34时,信号隐含地隐藏在混沌信号中。
Abstract
In this work the chaotic Dufng system was used in secure communications applications. The shift-keying scheme was used to modulate the diferent signals such as; OVEN and the sinusoidal signal. It has been proven that the chaotic carriers allow the process of modu- lating and demodulating signals easily and with high efciency, and this is coupled with the coupling factor between the receiving and transmittance units. Due to the absence of identical chaotic systems in time series behavior, it is assumed that there are two diferent chaotic systems in the initial conditions, one of which is called the transmitting unit and the second is called the receiving unit, which are as follows: xi1, yi1, xi2, yi2, where the two systems were coupling to an external stimulus called the coupling factor. The coupling factor k was changed from 0 to 100 a.u. to obtain full synchronization at this value for the sinusoidal signal and OVEN. In addition, there are limitations for the frequency and ampli- tude values of the sinusoidal signal on the signal transmission secret, and limitations for the input values for the OVEN signal. After experimenting with many values of the cou- pling factor, it was found that the two units have complete synchronization when the value of k=100. Where the error function becomes zero and falls within±0.001. It was observed that at amplitude and frequency A=0.1, f=0.01. the transmitted signal is clear and there is no secrecy in transmitting information, while at amplitude A=0.1, f=0.34 the signal is implicitly hidden within the chaos signal.