北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2005, Vol. 28 ›› Issue (4): 66-68.doi: 10.13190/jbupt.200504.66.liugh

• 研究报告 • 上一篇    下一篇

带通信号非均匀采样理论的研究

刘高辉,高勇,余宁梅   

  1. 西安理工大学 自动化与信息工程学院, 西安 710048
  • 出版日期:2005-08-28 发布日期:2005-08-28

Research on NonUniform Bandpass Sampling

LIU Gaohui,GAO Yong,YU Ningmei   

  1. School of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China
  • Online:2005-08-28 Published:2005-08-28

摘要:

为拓宽带通信号非均匀采样的采样频率范围,提出了一种周期性非均匀带通采样方法,该非均匀采样的平均采样频率在数值上等于带通信号无失真均匀采样的采样频率. 分析了采样后信号频谱的混叠问题,在此基础上,给出了无失真重建时内插函数的傅里叶像函数应该满足的条件. 计算机仿真实例验证了非均匀采样时内插函数的计算和带通信号的重建过程.

关键词: 非均匀采样, 频谱混叠, 带通信号重建, 内插函数

Abstract:

To extend the range of the sampling frequency, a method of periodically nonuniform bandpass sampling was put forward in which the value of the average sampling frequency was equal to that of the uniform sampling frequency without distortion. The spectrum aliasing was analyzed. And on the basis of the analysis, the conditions of the Fourier images of interpolants were given in the recovery of bandpass signal without distortion. The simulation example was presented to illustrate the calculation of interpolants and the reconstruction of bandpass signal from the nonuniform samples.

Key words: nonuniform sampling, spectrum aliasing, reconstruction of bandpass signal, interpolant

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