To sufficiently use the subcarrier index modulation in differential chaos shift keying (DCSK) of the recently suggested carrier index differential chaos shift keying (CI-DCSK) and two-layer carrier index differential chaos shift keying (2CI-DCSK), new subcarrier index modulation based DCSK is proposed and named grouping subcarrier index modulation DCSK (GSIM-DCSK). Two grouping subcarrier index modulations based DCSK systems are proposed named GSIM-DCSK-I and GSIM-DCSK-II systems. The data bits are split into L parallel groups, each group has ($p_1$+p₂) bits, where $p_1$ bits are used as indexed bits and $p_2$ are used for a modulated bit. The indexed bits are used as an index selector to select one active subcarrier as in GSIM-DCSK-I or inactive subcarrier as in GSIM-DCSK-II out of 2${}^{\mathrm{p}}$ index subcarriers. While the modulated bits are modulated by DCSK modulation. The bit error rate (BER) of the proposed systems are derived under additive white Gaussian noise and multipath Rayleigh fading channels, respectively. The simulation results are compared with analytical BER and conventional DCSK modulations. Furthermore, the energy efficiency, spectral efficiency, and complexity analysis are derived and compared with the conventional DCSK modulations. The results show that the proposed systems elevate the performance of the conventional DCSK system.

为了在最近建议的载波索引差分混沌键控（CI-DCSK）和两层载波索引差分混沌键控（2CI-DCSK）的差分混沌键控（DCSK）中充分使用子载波索引调制，新的子载波索引调制提出了基于DCSK的DCSK，并将其命名为分组子载波索引调制DCSK（GSIM-DCSK）。提出了两种基于分组子载波索引调制的DCSK系统，分别称为GSIM-DCSK-I和GSIM-DCSK-II系统。数据位分为L个并行组，每个组具有（$p_{\mathrm{1个}}$+ p ₂）位，其中$p_{\mathrm{1个}}$ 位用作索引位，并且 $p_{\mathrm{2个}}$用于调制位。被索引的位用作索引选择器，以从2个中选择一个GSIM-DCSK-I中的活动子载波或从GSIM-DCSK-II中选择一个非活动子载波${}^{\mathrm{p}}$索引子载波。而已调制的位是通过DCSK调制来调制的。所提出系统的误码率（BER）分别是在加性高斯白噪声和多径瑞利衰落信道下得出的。将仿真结果与解析BER和常规DCSK调制进行了比较。此外，推导了能量效率，频谱效率和复杂性分析，并将其与常规DCSK调制进行了比较。结果表明，所提出的系统提高了常规DCSK系统的性能。