电波科学学报2011，Vol.26Issue(4)：765-770,6.
椭圆球面波函数的快速重构算法
Fast method of reconstructing prolate spheroidal wave function
摘要
Abstract
Prolate spheroidal wave funetion（PSWF）is non-sinusoidal and it is diffi- cult for hardware implementation. The inefficiency and limitation of numerical algorithm restrict its theoretical development and application. For solving this problem, a new fast reconstructing algorithm for solving PSWF is proposed based on the sampling theorem. The reconstructing function and the approximate analytic solution are derived and the complexity of the algorithm is analyzed. The simulation result shows that the proposed method is more efficient than existing ones in the same precision. The proposed algorithm can be used for calculating numerical solutions of PSWF in any frequency bands and it is convenient for hardware implementation.关键词
非正弦波/椭圆球面波函数/数值求解算法/重构函数/采样定理Key words
non-sinusoidal wave/prolate spheroidal wave function/numerical solution algorithm/reconstructing function/sampling theorem分类
信息技术与安全科学引用本文复制引用
王红星,刘锡国,赵志勇,刘传辉,舒根春..椭圆球面波函数的快速重构算法[J].电波科学学报,2011,26(4):765-770,6.基金项目
国家自然科学基金资助项目 （）
“泰山学者”建设工程专项经费资助 （）
