Sub-Nyquist Sampling on Spectrum Co-prime Permutation

QIAN Hui; YANG Chao

doi:10.3969/j.issn.0372-2112.2017.10.027

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Sub-Nyquist Sampling on Spectrum Co-prime Permutation

更新时间：2025-07-16

- Sub-Nyquist Sampling on Spectrum Co-prime Permutation
- Acta Electronica Sinica Vol. 45, Issue 10, Pages: 2506-2510(2017)
- 作者机构：
  
  福州大学物理与信息工程学院,福建,福州,350108
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2017.10.027
  CLC： TN911.23
- Published：2017
- 稿件说明：
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QIAN Hui, YANG Chao. Sub-Nyquist Sampling on Spectrum Co-prime Permutation[J]. Acta Electronica Sinica, 2017, 45(10): 2506-2510.
DOI：

QIAN Hui, YANG Chao. Sub-Nyquist Sampling on Spectrum Co-prime Permutation[J]. Acta Electronica Sinica, 2017, 45(10): 2506-2510. DOI： 10.3969/j.issn.0372-2112.2017.10.027.

摘要

本文提出了一种基于频谱互质重排的超低速率信号采样方法.该方法将稀疏傅里叶变换从离散时间域拓展到连续时间域，首先通过互质结构傅里叶展开采样对频域稀疏信号的频谱分量进行重排和压缩，然后通过基于中国余数定理的亚线性算法对信号进行了重构.实验结果表明，本文所提的采样方法可进一步降低频域稀疏信号的采样速率.

Abstract

In this paper

a spectrum co-prime rearrangement based sampling scheme at very low rate is presented.This scheme extends SFT from discrete time domain to continuous time domain.Firstly

the spectrum of sparse signal at the frequency domain is rearranged and compressed by co-prime Fourier sampling expansion.Then it is reconstructed by sub-linear algorithm on Chinese Remainder Theorem.The simulation results show that the proposed sampling scheme can further reduce the sampling rate of spectral sparse signal.

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