基于三值Walsh插值函数的PSWF重构方法  

Reconstructed Method of PSWF Based on Three-valued Walsh Interpolation Function

作　　者：赛雷 王红星 陆发平 康家方 SAI Lei;WANG Hongxing;LU Faping;KANG Jiafang(Teaching and Research Office of Aviation Communication,Naval Aviation University,Yantai 264001,China;Key Laboratory on Signal&Information Processing of Shandong Province,Yantai 264001,China)

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

出　　处：《无线电通信技术》2019年第5期512-517,共6页Radio Communications Technology

基　　金：国家自然科学基金项目(61701518);山东省“泰山学者”建设工程专项经费基金资助项目(20081130)

摘　　要：针对采用二值Walsh函数重构椭圆球面波函数(PSWF)精度不高的问题,通过理论分析的方式,将二值Walsh插值函数推广为三值Walsh插值函数,并依据其完备正交性,提出基于三值Walsh插值函数的PSWF重构方法。在此基础上,对运算量、信号精度、信号性能等进行数值分析。结果表明,相比于二值Walsh函数重构法,在运算量基本持平的基础上,提出的方法能够在相同采样点数量的情况下,使得时域重构信号的精度至少提升5个数量级,且时域正交性较好,频域能量聚集度也有1个数量级的提高。In view of the low precision of using the binary Walsh function to reconstruct PSWF,the binary Walsh interpolation function is extended to a three-valued Walsh interpolation function based on through theoretical analysis,and according to its complete orthogonality,a reconstructed method of PSWF based on the three-valued Walsh interpolation function is proposed.On this basis,the numerical analysis of computational amount,signal accuracy and signal performance is performed.The analysis results show that compared with the binary Walsh function reconstruction method,at the same amount of calculation and with the same number of sampling points,the proposed method can improve the accuracy of the time domain reconstruction signal by at least 5 orders of magnitude,the time domain orthogonality is better,and the frequency domain energy concentration degree is also improved by one order of magnitude.

关 键 词：三值Walsh插值函数 椭圆球面波函数 循环移位复制理论 

分 类 号：TN911[电子电信—通信与信息系统]