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脉冲噪声下基于压缩变换函数的LFM信号参数估计

金艳 陈鹏辉 姬红兵

金艳, 陈鹏辉, 姬红兵. 脉冲噪声下基于压缩变换函数的LFM信号参数估计[J]. 电子与信息学报, 2021, 43(2): 277-283. doi: 10.11999/JEIT200342
引用本文: 金艳, 陈鹏辉, 姬红兵. 脉冲噪声下基于压缩变换函数的LFM信号参数估计[J]. 电子与信息学报, 2021, 43(2): 277-283. doi: 10.11999/JEIT200342
Yan JIN, Penghui CHEN, Hongbing JI. Parameter Estimation of LFM Signals Based on Compress Transform Function in Impulsive Noise[J]. Journal of Electronics & Information Technology, 2021, 43(2): 277-283. doi: 10.11999/JEIT200342
Citation: Yan JIN, Penghui CHEN, Hongbing JI. Parameter Estimation of LFM Signals Based on Compress Transform Function in Impulsive Noise[J]. Journal of Electronics & Information Technology, 2021, 43(2): 277-283. doi: 10.11999/JEIT200342

脉冲噪声下基于压缩变换函数的LFM信号参数估计

doi: 10.11999/JEIT200342
基金项目: 国家自然科学基金(61871301)
详细信息
    作者简介:

    金艳:女,1978年生,副教授,博士,主要研究方向为现代信号处理、非高斯信号处理、信号检测与估计等

    陈鹏辉:男,1995年生,硕士生,主要研究方向为非高斯噪声下信号处理方法

    姬红兵:男,1963年生,教授,博士生导师,主要研究方向为光电信号处理、微弱信号检测与识别、医学影像处理等

    通讯作者:

    陈鹏辉 1036843180@qq.com

  • 中图分类号: TN911.7

Parameter Estimation of LFM Signals Based on Compress Transform Function in Impulsive Noise

Funds: The National Natural Science Foundation of China (61871301)
  • 摘要: 针对现有线性调频(LFM)信号参数估计方法在脉冲噪声下性能退化甚至完全失效的问题,该文提出一种脉冲噪声下估计LFM信号参数的新方法。该文构造了一种新的压缩变换(CT)函数,分析了该函数在零点附近的近线性,推导了任意随机变量经该函数变换后的2阶矩有界,证明了函数变换前后LFM信号的初始频率和调频斜率信息不变。将经过函数变换后的信号进行分数阶傅里叶变换(FrFT),根据FrFT域中峰值坐标和信号参数的关系,寻找变换域中的峰值点,实现信号参数的估计。仿真实验表明,该方法可有效抑制脉冲噪声且能准确估计出信号的参数信息,实现简单,不需要噪声的先验信息,具有良好的稳健性。
  • 图  1  不同尺度变换参数对应的压缩变换函数波形

    图  2  不同尺度变换参数下信号估计误差

    图  3  脉冲噪声环境下信号的FrFT

    图  4  不同方法下信号的FrFT

    图  5  $\alpha = 0.8$ LFM信号参数估计误差图

    图  6  $\alpha = 1.5$ LFM信号参数估计误差图

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出版历程
  • 收稿日期:  2020-04-30
  • 修回日期:  2020-09-22
  • 网络出版日期:  2020-11-17
  • 刊出日期:  2021-02-23

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