测试基于洛伦兹系统的伪随机信号发生器

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摘要

这项工作展示了对改进型伪随机信号发生器的测试结果。其中考虑了在洛伦兹系统基础上开发的两种具有混沌动态的生成器。第一个发生器由在伽罗瓦场上实现的洛伦兹系统描述,第二个发生器由洛伦兹系统描述,其中数字序列的形成是通过对信号特征进行周期性采样实现的。为了进一步证实所获结果的相关性,文章对基于二进制随机序列生成标准 Matlab 函数开发的生成器进行了评估。生成器测试使用了美国国家标准与技术研究院开发的测试电池,其中包括 15 项不同的测试。测试结果与参考生成器的测试结果进行了比较。这项研究成果可用于密码和数据传输系统的开发。
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TESTING OF PSEUDORANDOM SIGNAL GENERATORS BASED ON THE LORENTZ SYSTEM
This work presents results of the testing of modified pseudorandom signal generators. Two generators developed on the basis of the Lorentz system with chaotic dynamics are considered. The first generator is described by the Lorentz system implemented over a Galois field, and the second is described by the Lorentz system in which digital sequence formation occurs by periodic sampling from signal signatures. As an additional confirmation of the relevance of the results obtained, the article valuates a generator developed on the basis of the standard Matlab function for binary random sequence generating. Generator testing was carried out using a test battery developed by the National Institute of Standards and Technology, which includes 15 different tests. The results obtained are compared with the results obtained by testing reference generators. The results of this research can be applied in the development of cryptographic and data transmission systems.
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