| 基于区间逐次分半的连续傅里叶变换计算 |
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| 引用本文： | 杨继业.基于区间逐次分半的连续傅里叶变换计算[J].甘肃联合大学学报(自然科学版),2012(1):1-3,26. |
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| 作者姓名： | 杨继业 |
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| 作者单位： | 宁夏大学数学计算机学院 |
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| 基金项目： | 宁夏大学自然科学基金(ndzr09-41,ndzr10-35) |
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| 摘 要： | 离散时间傅里叶变换是连续傅里叶变换的周期性延拓,离散时间傅里叶变换实质上是复化矩形数值积分计算连续Fourier变换,计算的误差较大.本文提出区间逐次分半计算连续傅里叶变换,在误差允许范围内可有效的提高精度.
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| 关 键 词： | 傅里叶变换 数值积分 误差分析 |
Computation of Continuous Fourier Transform Based on a Gradual Interval Bisection Method |
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| YANG Ji-ye.Computation of Continuous Fourier Transform Based on a Gradual Interval Bisection Method[J].Journal of Gansu Lianhe University :Natural Sciences,2012(1):1-3,26. |
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| Authors: | YANG Ji-ye |
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| Institution: | YANG Ji-ye(School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China) |
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| Abstract: | Discrete time Fourier transform(DTFT) is the periodic prolongation of continuous Fourier transform(CFT) and is essentially the computation of CFT based on composite rectangular quadrature formula.This approximation results existed relatively large error.In this paper,composite Simpson quadrature is proposed to compute CFT by gradual bisection of the integral interval.Error analysis is also presented. |
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| Keywords: | discrete time fourier transform continuous Fourier transform composite simpson quadrature |
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