2008Unpublished venueRequires access

Reconstruct discontinuous signal by all-phase Fourier technique

Yuqing He, Xiangdong Huang

Open publisher page 0 citations

Abstract

In order to reconstruct discontinuous signal with the least error by using finite information, this paper combines the concept of all-phase data processing and the conventional Fourier approximation. By utilizing the coefficients acquired by discrete Fourier transforming the samples of signal and the high harmonic information, all-phase Fourier reconstruction is 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 approximation.

About this research paper

What this paper is about

In order to reconstruct discontinuous signal with the least error by using finite information, this paper combines the concept of all-phase data processing and the conventional Fourier approximation. By utilizing the coefficients acquired by discrete Fourier transforming the samples of signal and the high harmonic information, all-phase Fourier reconstruction is 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 approximation.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In order to reconstruct discontinuous signal with the least error by using finite information, this paper combines the concept of all-phase data processing and the conventional Fourier approximation. By utilizing the coefficients acquired by discrete Fourier transforming the samples of signal and the high harmonic information, all-phase Fourier reconstruction is 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 approximation.

Key concepts: Fourier transform, Discrete Fourier series, Fourier analysis, Phase correlation, Discrete-time Fourier transform, Fourier series, Discrete Fourier transform (general), Harmonic analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
Reconstruct discontinuous signal by all-phase Fourier technique — Research Paper | ScholarLens