频谱互质重排亚奈奎斯特率采样方法

doi:10.3969/j.issn.0372-2112.2017.10.027

电子学报 ›› 2017, Vol. 45 ›› Issue (10): 2506-2510.DOI: 10.3969/j.issn.0372-2112.2017.10.027

频谱互质重排亚奈奎斯特率采样方法

钱慧, 杨超

福州大学物理与信息工程学院, 福建福州 350108

收稿日期:2016-03-26 修回日期:2016-09-17 出版日期:2017-10-25
- 通讯作者:
- 钱慧
- 作者简介:
- 杨超,男,1992年9月生于湖南长沙,现为福州大学物理与信息工程学院硕士研究生,研究方向为通信信号处理、图像处理等.E-mail:2595292470@qq.com
- 基金资助:
- 福州市科技局科技计划 (No.2013-G-85）; 福建省教育厅 (一般项目） (No.JA13039）

Sub-Nyquist Sampling on Spectrum Co-prime Permutation

QIAN Hui, YANG Chao

College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian 350108, China

Received:2016-03-26 Revised:2016-09-17 Online:2017-10-25 Published:2017-10-25

摘要/Abstract

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.

关键词: 频域稀疏信号, 亚奈奎斯特率采样, 稀疏傅里叶变换, 中国余数定理, 亚线性算法

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.

Key words: spectral sparse signal, sub-Nyquist sampling, sparse Fourier transform, Chinese Remainder Theorem, sub-linear algorithm

中图分类号:

TN911.23

钱慧, 杨超. 频谱互质重排亚奈奎斯特率采样方法[J]. 电子学报, 2017, 45(10): 2506-2510.

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

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频谱互质重排亚奈奎斯特率采样方法

Sub-Nyquist Sampling on Spectrum Co-prime Permutation

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