Analysis of the Shading Between Multicomponent Chirp Signals in the Fractional Fourier Domain

DENG Bing; TAO Ran; QU Chang-wen

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Analysis of the Shading Between Multicomponent Chirp Signals in the Fractional Fourier Domain

更新时间：2025-07-16

- Analysis of the Shading Between Multicomponent Chirp Signals in the Fractional Fourier Domain
- Acta Electronica Sinica Vol. 35, Issue 6, Pages: 1094-1098(2007)
- 作者机构：
  
  1. 海军航空工程学院电子信息工程系,山东,烟台,264001
  2. 北京理工大学电子工程系,北京,100081
  3. 海军航空工程学院电子信息工程系山东烟台,264001
  4. 北京理工大学电子工程系北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN957.5TN911.7
- Published：2007
- 稿件说明：
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DENG Bing, TAO Ran, QU Chang-wen. Analysis of the Shading Between Multicomponent Chirp Signals in the Fractional Fourier Domain[J]. Acta Electronica Sinica, 2007, 35(6): 1094-1098.
DOI：

DENG Bing, TAO Ran, QU Chang-wen. Analysis of the Shading Between Multicomponent Chirp Signals in the Fractional Fourier Domain[J]. Acta Electronica Sinica, 2007, 35(6): 1094-1098. DOI：

摘要

本文从分数阶Fourier变换与时频分布的关系入手

在离散分数阶Fourier变换算法基础上导出了单分量chirp信号分数阶Fourier谱强度的近似表达

并依据分数阶Fourier变换的线性性质

得到了调频率不同的两分量chirp信号间分数阶Fourier谱相互遮蔽的量化结果

给出了图例分析

并进行了仿真验证.通过本文的分析可以知道分数阶Fourier域中调频率不同的多分量chirp信号间的相互遮蔽主要取决于各自的幅度、调频率和采样时间.当多分量chirp信号幅度、调频率确定后

可以通过延长采样时间来降低各分量间的相互遮蔽.

Abstract

Starting with the relationship between the fractional Fourier transform and the time-frequency distribution

we derives the approximate expression of the fractional Fourier spectrum intensity of a single chirp based on the digital computation of the fractional Fourier transform.The shading between the fractional Fourier spectra of two chirps with different chirp rates is analyzed

and a formula is obtained

which is illuminated by some figures and verified by a simulation.We find that the amplitude

chirp-rate and sampling interval determine the shading between the fractional Fourier spectra of multicomponent chirp signals.Prolonging the sampling interval can reduce the shading when amplitude and chirp-rate of multicomponent chirp signals are determined.

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