Fractional Spectrum of Non-Uniformly Sampled Signals

LI Bing-zhao; TAO Ran; WANG Yue

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Fractional Spectrum of Non-Uniformly Sampled Signals

更新时间：2025-07-16

- Fractional Spectrum of Non-Uniformly Sampled Signals
- Acta Electronica Sinica Vol. 34, Issue 12, Pages: 2146-2149(2006)
- 作者机构：
  
  1. 北京理工大学电子工程系,北京,100081
  2. 北京理工大学理学院数学系,北京,100081
  3. 北京理工大学电子工程系北京,100081
  4. 北京理工大学理学院数学系北京,100081
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.72
- Published：2006
- 稿件说明：
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LI Bing-zhao, TAO Ran, WANG Yue. Fractional Spectrum of Non-Uniformly Sampled Signals[J]. Acta Electronica Sinica, 2006, 34(12): 2146-2149.
DOI：

LI Bing-zhao, TAO Ran, WANG Yue. Fractional Spectrum of Non-Uniformly Sampled Signals[J]. Acta Electronica Sinica, 2006, 34(12): 2146-2149. DOI：

摘要

利用分数阶Fourier变换对实际采样过程中出现的非均匀、非理想采样信号进行了分数阶频谱分析与研究

得到了这类非均匀采样信号在分数阶Fourier变换域的数字频谱表达形式.由此进一步得到了非均匀采样Chirp信号在分数阶域的频谱表达式

并分析了非均匀采样Chirp信号在分数阶Fourier变换域的分数阶频谱性质

最后仿真结果证明了结论的正确性.

Abstract

Based on the fractional Fourier transform

the fractional spectrum of non-uniformly sampled signal

which occurs in practical applications

has been analyzed and studied.Then the spectrum representation of a non-uniformly sampled chirp signal in the fractional Fourier domain has been derived.And the properties of fractional spectrum for non-uniformly sampled chirp signal have been investigated.The simulations are also proposed in the last to verify the correctness of the results.

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