基于广义信号索引的椭圆球面波函数多载波调制解调方法  

Multi-carrier modulation scheme based on prolate spheroidal wave functions with generalized index modulation

作　　者：王红星 陆发平 刘传辉 康家方 张力凡 Hongxing WANG;Faping LU;Chuanhui LIU;Jiafang KANG;Lifan ZHANG(Department of Aeronautical Communication,Naval Aviation University,Yantai 264001,China;Key Laboratory on Signal&Information Processing of Shandong Province,Naval Aviation University,Yaitai 264001,China)

机构地区：[1]海军航空大学航空通信教研室,烟台264001 [2]海军航空大学山东省信号与信息处理重点实验室,烟台264001

出　　处：《中国科学：信息科学》2021年第9期1524-1539,共16页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:61701518);山东省“泰山学者”建设工程专项经费(批准号:ts20081130)资助项目。

摘　　要：针对基于信号优化分组的椭圆球面波函数(prolate spheroidal wave functions,PSWFs)多载波调制系统频带利用率(spectral efficiency,SE)提升受信号激活路数固定限制的不足,引入广义索引调制(generalized index modulation,GIM),提出了基于GIM的PSWFs多载波调制解调方法,采用放宽对信号激活路数限制、增加调制符号组合数,有效提高系统频带利用率.在发射端,引入固定功率增益,本文提出了基于固定功率增益的调制信号功率控制方法,有效降低了GIM发射端系统复杂度,同时增加了调制符号间最小欧式距离.在接收端,基于不同支路信号激活状态相互独立的特点,引入局部最优,提出了基于局部最优的信号索引检测方法,将信号索引检测转换为相互独立的单支路信号激活状态检测,在相同误比特率(bit error rate,BER)下,能够将检测复杂度由经典GIM信号索引检测方法的O(m Mgn)降低为O(gn).理论与仿真结果表明,所提方法具有更高的系统频带利用率,如当BER为10-5时,相对于基于信号优化分组的PSWFs多载波调制,所提方法SE提升约14.5%,所需信噪比降低约2.73 d B;相对于经典GIM,SE提升约2.9%,所需信噪比降低约1.92 dB.Multi-carrier modulation(MCM)based on prolate spheroidal wave functions(PSWFs)with generalized index modulation(GIM)was proposed in this paper.The proposed method relaxes the restriction on the number of the activated PSWFs signals,effectively increases the number of modulation symbol combinations and improves the spectral efficiency(SE)of the system.It solves the problem that the SE of the MCM-PSWFs with signal grouping optimization(MCM-PSWFs-SGO)is limited by the fixed number of the activated signals.At transmitter,a novel power control scheme of modulation signal based on fixed power gain is proposed.By introducing fixed power gain,the complexity of GIM transmitter is effectively reduced,and the minimum Euclidean distance between modulation symbols is increased.At receiver,based on the fact that the activation states of different PSWFs signals are independent of each other,a novel signal index detection method based on local optimization is proposed,which converts the signal index detection to the activation state detection of single branch signals.Under the same bit error rate(BER)performance,the complexity of signal index detection is reduced from O(m Mgn)of classical GIM to O(gn).Theoretical and simulation results show that the proposed method can achieve improvement of SE.For example,when BER is 10-5,compared with MCM-PSWFs-SGO,the SE of the proposed method increases by 14.5%,and the required signal to noise ratio decreases by 2.73 dB.Compared with classical GIM,the SE increases by 2.9%and the required signal to noise ratio decreases by 1.92 dB.

关 键 词：椭圆球面波函数 频带利用率 波形设计 多载波调制 索引调制 

分 类 号：TN911.3[电子电信—通信与信息系统]