严格奇偶对称的椭圆球面波函数信号构建与低复杂度检测方法  

Strict parity symmetric prolate spheroidal wave functions signal construction and low complexity detection method

作　　者：王红星 陆发平 刘传辉 康家方 Hongxing WANG;Faping LU;Chuanhui LIU;Jiafang KANG(Education Study Office 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》2020年第5期766-776,共11页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:6170012154);山东省“泰山学者”建设工程专项经费基金(批准号:ts20081130)资助项目。

摘　　要：针对椭圆球面波函数(prolate spheroidal wave functions,PSWFs)信号处理与检测复杂度高的问题,基于具有相同奇偶对称性的PSWFs信号进行线性运算后其奇偶对称性不变的特点,提出了时域严格奇偶对称的PSWFs信号构建方法.依据相同奇偶对称性的PSWFs信号在半符号周期与整符号周期其正交性相同的特性,采用对奇对称、偶对称信号分组处理,利用半符号周期信号进行检测,降低参与运算的信号数值解点数的思路,提出了基于时域奇偶特性的PSWFs信号检测方法.理论与数值分析表明,与相干检测相比,所提的信号检测方法能够在不降低系统误码性能的前提下,检测计算复杂度由O(NQ)降低为O(NQ/2),降低约50%.Aiming at solving the problem of high signal processing and detection complexity of prolate spheroidal wave functions(PSWFs),we propose a time domain strict parity symmetry PSWFs signal construction method,based on the characteristics of PSWFs with the same parity symmetry after linear operation.According to the characteristics that the PSWFs of the same parity symmetry have the same orthogonality in the half-symbol period and the whole symbol period,we propose a PSWFs signal detection method based on the parity characteristics,which groups processing of odd symmetric and even symmetric signals and detects PSWFs signal in the halfsymbol period signal to reduce the number of signal solutions for participating in the operation.Compared with the coherent detection method,theoretical and numerical analyses show that the proposed signal detection method can reduce the computational complexity from O(NQ)to O(NQ/2)(i.e.,about 50%)without reducing the system error performance.

关 键 词：奇偶对称 信号检测 椭圆球面波函数 对折处理 叠加平均处理 分层处理 

分 类 号：TN929.5[电子电信—通信与信息系统]