Multi-carrier Index Modulation Based on Prolate Spheroidal Wave Functions with Dual-mode
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摘要: 该文在基于信号分组优化的椭圆球面波函数(PSWFs)多载波调制的基础上，引入双模索引调制思想，提出了双模PSWFs多载波索引调制解调方法(DM-MCM-PSWFs)。该方法利用未被激活的剩余部分子载波加载第2星座图产生的调制符号，以传输额外的信息比特，实现了基于信号分组优化的PSWFs多载波调制中频谱资源的进一步利用，有效提高了系统频带利用率以及误码性能。理论和仿真分析表明，相较于基于信号分组优化的PSWFs多载波调制，所提方法以适当牺牲系统复杂度为代价，具有更高的系统频带利用率和更优的系统误码性能，当误比特率为1×10–5, n=7, k=3时，所提方法系统频带利用率、误码性能可分别提升9.15%, 2.4 dB。Abstract: With the foundation of multi-carrier modulation based on Prolate Spheroidal Wave Functions (PSWFs) with signal grouping optimization, the idea of dual-mode index modulation is introduced, and proposes a method of Multi-Carrier index Modulation based on PSWFs with Dual-Mode (DM-MCM-PSWFs) is introduced. The remaining sub-carriers that are not activated to load the modulation symbols generated by the second constellation to transmit additional information bits are used in this method, resulting in the improvements of efficiency of spectrum resources in multi-carrier modulation based on PSWFs with signal grouping optimization, and it improves effectively the system spectral efficiency and error performance. Theoretical and simulation analysis indicate that compared with multi-carrier modulation based on PSWFs with signal grouping optimization, the proposed method can attain higher system spectral efficiency and better system error performance at the expense of acceptable sacrifice of system complexity. When the bit rate is 1×10-5, n=7, and k=3, the system spectral efficiency and error performance of the proposed method can increase by 9.15% and 2.4 dB respectively.
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表 1 n=4,k=2时DM-MCM-PSWFs的一种映射方案
比特信号 信号索引 子载波映射 [0,0] {0,0,1,1} {$s_{\rm{I}} ^{\rm{A}} (1)$,$s_{\rm{I}} ^{\rm{A}} (2)$,$s_{\rm{I}} ^{\rm{B}} (1)$,$s_{\rm{I}} ^{\rm{B}} (2)$} [0,1] {0,1,0,1} {$s_{\rm{I}} ^{\rm{A}} (1)$,$s_{\rm{I}} ^{\rm{B}} (1)$,$s_{\rm{I}} ^{\rm{A}} (2)$,$s_{\rm{I}} ^{\rm{B}} (2)$} [1,0] {1,0,0,1} {$s_{\rm{I}} ^{\rm{B}} (1)$,$s_{\rm{I}} ^{\rm{A}} (1)$,$s_{\rm{I}} ^{\rm{A}} (2)$,$s_{\rm{I}} ^{\rm{B}} (2)$} [1,1] {0,1,1,0} {$s_{\rm{I}} ^{\rm{A}} (1)$,$s_{\rm{I}} ^{\rm{B}} (1)$,$s_{\rm{I}} ^{\rm{B}} (2)$,$s_{\rm{I}} ^{\rm{A}} (2)$} 
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表 2 不同多载波调制方法系统频带利用率
调制方法 g n k SE(bit/s/Hz) ${E_{\rm{b}}}{\rm{/} }{N_{\rm{0} } }$(dB) $\rho $(%) DM-MCM-PSWFs 15 6 3 3.09 11.98 / MCM-PSWFs-SGO-2PAM 9 10 7 2.41 11.05 28.2 MCM-PSWFs-SGO-4PAM 23 4 1 1.90 13.46 62.6 23 4 2 2.85 14.95 8.4 MCOM-PSWFs-8QAM 1 92 92 2.85 12.45 8.4
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表 3 信号索引检测乘法运算量
调制方式 运算量 n k 乘法次数(B=1.44 MHz) DM-MCM-PSWFs-ML $O(ng{2^{\left\lfloor {C_n^k} \right\rfloor }})$ 4 1/2/3 368 MCM-PSWFs-SGO-ML $O({\rm{2}}kg{2^{\left\lfloor {C_n^k} \right\rfloor }})$ 4 1 184 4 2 368 4 3 552 MCM-PSWFs-SGO-OS $O(gn{\log _{\rm{2}}}n)$ 4 2 16
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