Using all-phase Fourier method to reconstruct discontinuous signal

HUANG Xiang-dong; WANG Zhao-hua; LI Wen-yuan

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Using all-phase Fourier method to reconstruct discontinuous signal

更新时间：2024-10-14

- Using all-phase Fourier method to reconstruct discontinuous signal
- Issue 9, Pages: 93-96(2005)
- 作者机构：
  
  1. 天津大学电子信息工程学院
  2. 天津大学电子信息工程学院,天津,300072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2005
- 稿件说明：
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HUANG Xiang-dong, WANG Zhao-hua, LI Wen-yuan. Using all-phase Fourier method to reconstruct discontinuous signal[J]. 2005, (9): 93-96.
DOI：

HUANG Xiang-dong, WANG Zhao-hua, LI Wen-yuan. Using all-phase Fourier method to reconstruct discontinuous signal[J]. 2005, (9): 93-96. DOI：

摘要

为利用有限的信息为最小误差重构间断信号

将全相位处理的思想与传统傅氏逼近相结合

利用对信号离散采样后得到的DFT系数

并充分利用高次谐波信息

形成了全相位傅氏重构法。理论和实验表明:用全相位傅氏法对间断信号进行重构的波形

相比于传统的连续傅氏积分逼近和离散傅氏重构的波形

具有更小的误差。

Abstract

In order to reconstruct discontinuous signal with the least error by using finite information

the concept of all-phase data processing and the conventional Fourier approximation were combined. By utilizing the coefficients acquired by discrete Fourier transforming the samples of signal and the high harmonic information

all-phase Fourier reconstruction was formed. Theoretical deduction and experimental research show that the waveform reconstructed by all-phase Fourier method has less error than those constructed by conventional continuous Fourier integral approximation and the discrete Fourier reconstruction.

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