Abstract

In this paper, we present and evaluate a novel multilevel hybrid-chaotic oscillator. The proposed generalized multilevel-hybrid chaotic oscillator (GM-HCO) was created by combining a multilevel discrete function generated from user data with a continuous function having a damping factor greater than ln(2) to achieve variable rates and adaptive carrier frequencies. Improved spectral efficiency and lower complexity of the transceiver compared with differentially coherent systems were achieved by multilevel signals at the transmitter and a matched filter at the receiver. An exact analytical solution for the generalized fixed basis function and the impulse response of the matched filter were also derived. The bit error rate (BER) expression of the GM-HCO was derived for two levels. It was found that the noise performance of the proposed system was better than a hybrid chaotic system based on forward time and differential chaos shift keying (DCSK). A comprehensive set of simulations were carried out to evaluate the performance of the proposed system with chaotic communication systems in the presence of additive white Gaussian noise (AWGN). The performance of the proposed system was comparable with that of conventional communication systems. The results demonstrate that the proposed system can offer better noise performance than existing chaotic communication systems, and it also offers variable transmitter frequencies and improved spectral efficiency. Noise-like behavior of the chaotic signals provides an additional layer of security at the physical layer compared with conventional (sinusoidal) communication systems.

中文翻译：

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适用于低成本和高功率效率短距离混沌通信系统的广义多级混合混沌振荡器

摘要

在本文中，我们提出并评估了一种新型的多级混合混沌振荡器。拟议的通用多级混合混沌振荡器（GM-HCO）是通过将从用户数据生成的多级离散函数与阻尼系数大于l n的连续函数组合而创建的（2）实现可变速率和自适应载波频率。与差分相干系统相比，通过在发送器处使用多电平信号并在接收器处使用匹配的滤波器，可以提高收发器的频谱效率并降低其复杂度。还推导了广义固定基函数和匹配滤波器的脉冲响应的精确解析解。GM-HCO的误码率（BER）表达式分为两个级别。发现该系统的噪声性能优于基于正向时间和差分混沌移位键控（DCSK）的混合混沌系统。在存在加性白高斯噪声（AWGN）的情况下，进行了一套全面的仿真，以评估所提出系统与混沌通信系统的性能。所提出的系统的性能可与常规通信系统相媲美。结果表明，与现有的混沌通信系统相比，所提出的系统可以提供更好的噪声性能，并且还可以提供可变的发射机频率和更高的频谱效率。与常规（正弦）通信系统相比，混沌信号的类似噪声的行为在物理层提供了额外的安全层。