Journal of Computer Applications ›› 2016, Vol. 36 ›› Issue (2): 492-494.DOI: 10.11772/j.issn.1001-9081.2016.02.0492

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Fourier spectrum analysis for non-uniform sampled signals

FANG Jianchao, MAO Xuesong   

  1. School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan Hubei 430081, China
  • Received:2015-09-01 Revised:2015-09-28 Online:2016-02-10 Published:2016-02-03


方建超, 毛雪松   

  1. 武汉科技大学 信息科学与工程学院, 武汉 430081
  • 通讯作者: 毛雪松(1975-),男,江苏盐城人,教授,博士,主要研究方向:雷达信号处理、非线性光纤光学。
  • 作者简介:方建超(1991-),男,湖北黄冈人,硕士研究生,主要研究方向:雷达信号处理。
  • 基金资助:

Abstract: For dealing with the problem of being unable to sample beat signals with equal interval that is inherent in the Pseudo random Noise (PN) code modulated Doppler laser radar, a new Discrete Fourier Transform (DFT) method which applies to non-uniform sampling data was proposed. Firstly, system model of Doppler laser radar for simultaneously measuring range and speed was provided, and the reason of being unable to sample beat signals with equal interval was pointed out. Then, by theoretical deducing, a new spectrum analysis method was proposed for processing non-uniform sampling signals. Finally, simulations were performed to verify the feasibility of applying the proposed method to non-uniform sampling data. As a result, within Doppler frequency range which is created by moving targets in roads, the method can obtain the frequency of non-uniform sampling Doppler signals efficiently even when Signal-to-Noise Ratio (SNR) is low to 0 dB.

Key words: non-uniform sampling, Fast Fourier Transform(FFT), signal processing, spectrum analysis, Doppler laser radar, road target sensing

摘要: 针对伪随机(PN)码调制的多普勒激光雷达中固有的对外差信号不能等间隔采样的问题,提出一种新的非均匀采样信号的离散傅里叶变换(DFT)方法。首先,给出距离速度同步测量多普勒激光雷达系统模型,指出对外差信号不能等间隔采样的原因;然后,通过理论推导,提出一种新的非均匀采样信号的频谱分析方法;最后,通过仿真验证该方法可用于分析非等间隔采样信号的频谱。结果表明,在道路运动目标产生的多普勒频率范围内,接收信号信噪比(SNR)为0 dB的情况下,该方法仍可有效分析出不等间隔采样多普勒信号的频率。

关键词: 非等间隔采样, 快速傅里叶变换, 信号处理, 频谱分析, 多普勒激光雷达, 道路目标感知

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