Abstract

In order to further improve the transmission and spectral efficiency of the MC-DCSK system, a novel security system called Joint Mapping Multi-Carrier Differential Chaos Shift Keying (JM-MC-DCSK) is proposed in this paper. A novel joint mapping scheme is designed which consists of two parts: matrix reshaping mapping and combination mapping. Moreover, in order to correctly demodulate the information bits in the index obtained through Maximum Likelihood Estimation (MLE), we propose a new index mapping algorithm to match this joint mapping scheme. The information bits are first mapped into U mutually orthogonal matrices in the matrix reshaping mapping structure. In this structure, we employ segmental shifts of the orthogonal submatrices instead of cyclic shifts to eliminate intra-signal interference, which contributes to the reliability of the system. Then, in the combination mapping structure, the information bits are modulated by N orthogonal carriers after being replicated U times. In each carrier signal, we arbitrarily select two sequences from the U orthogonal chaotic sequences to be superimposed. This scheme can map more information symbols and the randomness of the combination selection provides more flexibility for the mapping algorithm. The Bit Error Rate is derived and analyzed under Additive White Gaussian Noise and Rayleigh Fading Channel by Gaussian approximation method and central limit theorem, and numerical simulations are conducted to verify the correctness of theory. Additionally, the simulation results demonstrate that the system also has lower BER and Peak-to-Average Power Ratio, reflecting its significant theoretical and practical engineering value.

中文翻译：

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一种新型联合映射方案设计，具有低PAPR辅助差分混沌移位键控系统

摘要

为了进一步提高MC-DCSK系统的传输和频谱效率，本文提出了一种称为联合映射多载波差分混沌移位键控（JM-MC-DCSK）的新型安全系统。设计了一种新颖的联合映射方案，该方案由矩阵重塑映射和组合映射两部分组成。此外，为了正确解调通过最大似然估计（MLE）获得的索引中的信息位，我们提出了一种新的索引映射算法来匹配这种联合映射方案。信息比特首先被映射到矩阵整形映射结构中的U个相互正交的矩阵中。在这种结构中，我们采用正交子矩阵的分段移位而不是循环移位来消除信号内干扰，这有助于系统的可靠性。然后，在组合映射结构中，信息比特被复制U次后被N个正交载波调制。在每个载波信号中，我们从U个正交混沌序列中任意选择两个序列进行叠加。该方案可以映射更多的信息符号，组合选择的随机性为映射算法提供了更大的灵活性。利用高斯近似法和中心极限定理对加性高斯白噪声和瑞利衰落信道下的误码率进行了推导和分析，并进行数值模拟验证了理论的正确性。此外，仿真结果表明，该系统还具有较低的误码率和峰均功率比，体现了其重要的理论和实际工程价值。