Credibility Evaluation for Blind Processing Results of LFM/BPSK Hybird Modulation Signals:A Simple Likelihood Ratio Based Approach

HU Guo-bing; WU Shan-shan; YANG Zhong; YANG Li; ZHAO Pin-jiao; SONG Jun

doi:10.3969/j.issn.0372-2112.2019.09.011

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Credibility Evaluation for Blind Processing Results of LFM/BPSK Hybird Modulation Signals:A Simple Likelihood Ratio Based Approach

更新时间：2025-07-16

- Credibility Evaluation for Blind Processing Results of LFM/BPSK Hybird Modulation Signals:A Simple Likelihood Ratio Based Approach
- Acta Electronica Sinica Vol. 47, Issue 9, Pages: 1891-1897(2019)
- 作者机构：
  
  1. 金陵科技学院,江苏,南京,211169
  2. 南京信息职业技术学院电子信息学院,江苏,南京,210023
  3. 南京林业大学信息科学技术学院,江苏,南京,210037
  4. 金陵科技学院,江苏,南京,211169
  5. 南京信息职业技术学院电子信息学院,江苏,南京,210023
  6. 南京林业大学信息科学技术学院,江苏,南京,210037
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2019.09.011
  CLC： TN911.6
- Published Online：25 September 2019，
  
  Published：2019
- 稿件说明：
移动端阅览
HU Guo-bing, WU Shan-shan, YANG Zhong, et al. Credibility Evaluation for Blind Processing Results of LFM/BPSK Hybird Modulation Signals:A Simple Likelihood Ratio Based Approach[J]. Acta Electronica Sinica, 2019, 47(9): 1891-1897.
DOI：

HU Guo-bing, WU Shan-shan, YANG Zhong, et al. Credibility Evaluation for Blind Processing Results of LFM/BPSK Hybird Modulation Signals:A Simple Likelihood Ratio Based Approach[J]. Acta Electronica Sinica, 2019, 47(9): 1891-1897. DOI： 10.3969/j.issn.0372-2112.2019.09.011.

摘要

针对以相关谱最大值作为统计量对线性调频/二相编码（LFM/BPSK，Linear Frequency Modulation/Binary Phase Shift Keying）混合调制信号盲处理结果进行可信性检验时，存在概率密度函数复杂，难以得到似然比检验闭合表达式的问题，提出了一种基于极值分布理论（EVT，Extreme Value Theory）的简化处理算法.利用相关谱最大值的极限分布替代其精确分布，基于纽曼-皮尔逊（NP，Neyman-Pearson）准则得到简化的似然比检验，给出了相应判决式及其判决门限的解析表达式.文中给出了不同假设下相关谱最大值的极限分布形式.计算机仿真结果表明：本算法与已有的恒虚警方法相当，但优于基于分组极值模型及超阈值模型的两种分布拟合检验法，且具有较低的计算复杂度.

Abstract

In order to verify the confidence of the blind analysis result of the LFM/BPSK (Linear Frequency Modulation/Binary Phase Shift Keying) hybrid modulation signals by using the maximum value of the correlation spectrum

a simple likelihood ratio algorithm based on extreme value theory is formulated in this paper

which can solve the problem caused by the complexity of the probability of the maximum statistic of the correlation spectrum when creating the likelihood ratio test. By replacing the asymptotic distribution of the exact distribution of the maximum statistic and using the NP criterion

the decision statistic and its corresponding threshold is derived. The asymptotic distribution of the maximum statistic under the two hypotheses are provided. The simulations show that the performance of the proposed algorithm is similar to the constant false alarm based algorithm

and is superior to the two goodness of fit test based algorithms that are formulated by the group extreme value and the peak over threshold models respectively.

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Credibility Evaluation for Processing Results of LFM/BPSK Signals Based on Goodness-of-Fit Test of Generalized Pareto Distribution

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Related Institution

College of Electronic and Information Engineering, Jinling Institute of Technology

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College of Electronic and Information Engineering Jinling Institute of Technology Nanjing Jiangsu China

College of Computer and Information Science Ho Hai University Nanjing Jiangsu China

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