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多频带正交椭圆球面波脉冲组的特征向量设计
引用本文:陈昭男,毛忠阳,王红星,侯文君,赵志勇.多频带正交椭圆球面波脉冲组的特征向量设计[J].吉林大学学报(工学版),2013,43(3):830-835.
作者姓名:陈昭男  毛忠阳  王红星  侯文君  赵志勇
作者单位:1. 海军航空工程学院电子信息工程系,山东烟台,264001
2. 海军航空工程学院电子信息工程系,山东烟台264001;91655部队研究七室,北京100036
基金项目:国家自然科学基金项目,山东省"泰山学者"建设工程专项项目
摘    要:从椭圆球面波函数(Prolate spheroidal wave function,PSWF)脉冲组的互相关矩阵入手,以互相关矩阵的特征向量作为加权系数向量,对原PSWF脉冲组进行加权求和,从而得到新的多频带正交PSWF脉冲组。仿真结果表明:该方法突破了传统Gram-Schmidt正交化在脉冲个数上的限制,同时保持了PSWF脉冲的高能量聚集性和误码率性能,并具有实时性好、易于工程实现的优点。

关 键 词:通信技术  非正弦波  正交化  椭圆球面波函数

Design of efficient orthogonal multiband PSWF pulse set based on eigenvector
CHEN Zhao-nan,MAO Zhong-yang,WANG Hong-xing,HOU Wen-jun,ZHAO Zhi-yong.Design of efficient orthogonal multiband PSWF pulse set based on eigenvector[J].Journal of Jilin University:Eng and Technol Ed,2013,43(3):830-835.
Authors:CHEN Zhao-nan  MAO Zhong-yang  WANG Hong-xing  HOU Wen-jun  ZHAO Zhi-yong
Affiliation:1(1.Department of Electrical and Information Engineering,Naval Aeronautical and Astronautical University,Yantai 264001,China;2.No.7 Lab,Unit 91655,Beijing 100036,China)
Abstract:The eigenvectors of cross-correlation matrix for Prolate Spheroidal Wave Function(PSWF) pulse set was used as the weighting factors,and the original PSWF pulses were added by the factors to generate new orthogonal PSWF pulse set.Simulation results show that the orthogonality performance of the proposed method breaks through the restriction on the pulse number by traditional Gram-Schmidt method.The high energy concentration and Bit Error Rate(BER) performance of the PSWF pulse set are maintained after orthogonalization process.Meanwhile,the method is easy and fast for hardware implementation.
Keywords:communication technology  non-sinusoidal wave  orthogonality  prolate spheroidal wave functions
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