Detection Performance of Linear Frequency Modulated Signals Based on Wigner-Hough Transform

LIU Jian-cheng; WANG Xue-song; LIU Zhong; XIAO Shun-ping; WANG Guo-yu

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Detection Performance of Linear Frequency Modulated Signals Based on Wigner-Hough Transform

更新时间：2025-07-16

- Detection Performance of Linear Frequency Modulated Signals Based on Wigner-Hough Transform
- Acta Electronica Sinica Vol. 35, Issue 6, Pages: 1212-1217(2007)
- 作者机构：
  
  1. 国防科技大学电子科学与工程学院,湖南,长沙,410073
  2. 河南洛阳061信箱,河南,洛阳,471003
  3. 国防科技大学电子科学与工程学院湖南长沙,410073
  4. 河南洛阳061信箱河南洛阳,471003
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN95
- Published：2007
- 稿件说明：
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LIU Jian-cheng, WANG Xue-song, LIU Zhong, et al. Detection Performance of Linear Frequency Modulated Signals Based on Wigner-Hough Transform[J]. Acta Electronica Sinica, 2007, 35(6): 1212-1217.
DOI：

LIU Jian-cheng, WANG Xue-song, LIU Zhong, et al. Detection Performance of Linear Frequency Modulated Signals Based on Wigner-Hough Transform[J]. Acta Electronica Sinica, 2007, 35(6): 1212-1217. DOI：

摘要

根据Wigner-Hough变换思想和广义似然比检验理论

分析了双门限情况下线性调频信号的检测性能

给出了虚警概率和检测概率的数学表达式

该表达式是Hough变换的积累单元数和检测门限的函数

然后对概率密度函数进行了合理近似

并给出了Hough变换的积累单元数计算公式

最后的计算机仿真比较了傅立叶变换和Wigner-Hough变换的LFM(Linear Frequency Modulated)信号检测性能和基于Wigner-Hough变换的不同目标起伏类型的LFM信号检测性能.

Abstract

Detection performance of linear frequency modulated signal is analyzed in theory according to Wigner-Hough transform and generalized likelihood ratio test (GLRT) theory when two detection thresholds are set

and expressions for the probability of false alarm (PF) and the probability of detection (PD)

as a function of the number of accessible Hough space accumulator cells and detection threshold.Then probability density function is approximated rationally and the calculation of the number of accessible Hough space accumulator cells is derived.Finally comparison of detection performance of based on Fourier transform and based on Wigner-Hough transform is made

and comparison of detection performance of different Swerling fluctuating targets is made also.

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