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。
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.
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2013年第3期830-835,共6页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(60772056)
山东省'泰山学者'建设工程专项项目
关键词
通信技术
非正弦波
正交化
椭圆球面波函数
communication technology
non-sinusoidal wave
orthogonality
prolate spheroidal wave functions
