| 基于勒让德多项式的椭圆球面波脉冲设计方法 |
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| 引用本文： | 王红星, 陈昭男, 赵志勇, 刘锡国, 康家方. 基于勒让德多项式的椭圆球面波脉冲设计方法[J]. 电波科学学报, 2012, 27(1): 191-196. |
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| 作者姓名： | 王红星 陈昭男 赵志勇 刘锡国 康家方 |
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| 作者单位： | 海军航空工程学院山东省信号与信息处理重点实验室, 山东烟台 264001 |
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| 基金项目： | 国家自然科学基金资助项目(No.60772056);“泰山学者”建设工程专项经费资助 |
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| 摘 要： | 针对椭圆球面波函数(PSWF)硬件实现困难的问题,从PSWF与勒让德多项式二者微分方程定义的相似性出发,提出一种基于归一化勒让德多项式的PSWF脉冲设计方法。该方法根据所设计脉冲的时宽和时间带宽积两个参数生成对称矩阵,计算该矩阵的特征向量,得到各阶归一化勒让德多项式的系数,通过归一化勒让德多项式加权求和的方法构建PSWF脉冲。该方法可以通过改变归一化勒让德多项式的系数快速设计不同的PSWF脉冲,具有实时性好、精度可控和硬件复杂度低的优点。
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| 关 键 词： | 通信 非正弦波 脉冲设计 椭圆球面波函数 归一化勒让德多项式 |
| 收稿时间： | 2011-03-05 |
Design of prolate spheroidal wave function pulse based on legendre polynomials |
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| WANG Hong-xing, CHEN Zhao-nan, ZHAO Zhi-yong, LIU Xi-guo, KANG Jia-fang. Design of prolate spheroidal wave function pulse based on legendre polynomials[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2012, 27(1): 191-196. |
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| Authors: | WANG Hong-xing CHEN Zhao-nan ZHAO Zhi-yong LIU Xi-guo KANG Jia-fang |
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| Affiliation: | Key Laboratory on Signal and Information Processing of Shandong Province, Naval Aeronautical and Astronautical University, Yantai Shandong 264001, China |
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| Abstract: | To simplify the hardware complexity of prolate spheroidal wave function(PSWF)implementation,a new design method prolate spheroidal wave function pulse based on normalized Legendre polynomial was proposed.We generated a symmetry matrix according to the pulse parameters,and got the Legendre polynomial coefficients by computing the eigenvectors of the matrix.On this basis,we constructed the required PSWF pulse by the normalized Legendre polynomial approximation method.In the PSWF pulse design procedure,the proposed method can design new PSWF pulses by changing Legendre polynomial coefficients,and it can generate PSWF fastly and accurately with low implementation complexity. |
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| Keywords: | communication non-sinusoidal wave pulse design prolate spheroidal wave functions normalized Legendre polynomial |
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