基于IDFT的椭圆球面波函数重构产生方法

上海交通大学学报（自然版） ›› 2014, Vol. 48 ›› Issue (03): 357-362.

• 无线电电子学、电信技术 • 上一篇下一篇

基于IDFT的椭圆球面波函数重构产生方法

康家方a，王红星a,b，刘传辉a，赵志勇a，刘锡国a

（1.海军航空工程学院 a.电子信息工程系； b.山东省信号与信息处理重点实验室，山东烟台 264001）

收稿日期:2013-03-14 出版日期:2014-03-28 发布日期:2014-03-28
基金资助:
国家自然科学基金资助项目(61179018)，山东省"泰山学者"建设工程专项经费项目(ts20081130)

Prolate Spheroidal Wave Functions Generation Method Based on IDFT

KANG Jiafanga,WANG Hongxinga,b,LIU Chuanhuia,ZHAO Zhiyonga,LIU Xiguoa

(a. Department of Electronic and Information Engineering; b. Key Laboratory on Signal and Information Processing of Shandong Province, Naval Aeronautical and Astronomical University, Yantai 264001, Shandong, China)

Received:2013-03-14 Online:2014-03-28 Published:2014-03-28

摘要/Abstract

摘要：

针对椭圆球面波函数（PSWF）信号的实时产生问题，给出了PSWF的傅里叶级数展开式，研究了PSWF信号的有限傅里叶展开，并对其误差进行了分析，最后提出了基于离散傅里叶逆变换重构产生PSWF信号波形的方法.该方法建立了PSWF信号与正余弦级数之间的联系，并将高效、成熟的傅里叶变换技术运用到PSWF信号的产生上，提高了PSWF数字波形产生的硬件可实现性.同时，也为其他复杂波形信号的实时产生提供了一种切实可行的产生方法.

关键词: 椭圆球面波函数, 离散傅里叶逆变换, 离散快速傅里叶逆变换, 重构

Abstract:

Aimed at the issue of the generation of prolate spheroidal wave function(PSWF) in real time, based on the properties of PSWFs, and starting from the Fourier series expansion, the Fourier expansion formulas of PSWFs was proposed, the finite Fourier expansion was investigated, and the error of the finite Fourier expansion was analysed. A method to reconstruct PSWFs based on IDFT was presented, which established a link between the PSWF signal and the sine or cosine series, introduced the efficient and mature Fourier transform technology to the generation of PSWFs, and improved hardware realizability of PSWFs, providing a practical way to generate other complex signal waveforms in real time.

Key words: prolate spheroidal wave functions (PSWF), inverse discrete Fourier transform (IDFT), inverse fast Fourier transform (IFFT), reconstruct

中图分类号:

TN 911.3

康家方a，王红星a,b，刘传辉a，赵志勇a，刘锡国a. 基于IDFT的椭圆球面波函数重构产生方法[J]. 上海交通大学学报（自然版）, 2014, 48(03): 357-362.

KANG Jiafanga,WANG Hongxinga,b,LIU Chuanhuia,ZHAO Zhiyonga,LIU Xiguoa. Prolate Spheroidal Wave Functions Generation Method Based on IDFT[J]. Journal of Shanghai Jiaotong University, 2014, 48(03): 357-362.

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基于IDFT的椭圆球面波函数重构产生方法

Prolate Spheroidal Wave Functions Generation Method Based on IDFT

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