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一种基于功率谱子带能量比熵的新型盲信号检测器。

A Novel Blind Signal Detector Based on the Entropy of the Power Spectrum Subband Energy Ratio.

作者信息

Li Han, Hu Yanzhu, Wang Song

机构信息

School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China.

School of Intelligent Equipment, Shandong University of Science and Technology, Taian 271019, China.

出版信息

Entropy (Basel). 2021 Apr 11;23(4):448. doi: 10.3390/e23040448.

DOI:10.3390/e23040448
PMID:33920338
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8070492/
Abstract

In this paper, we present a novel blind signal detector based on the entropy of the power spectrum subband energy ratio (PSER), the detection performance of which is significantly better than that of the classical energy detector. This detector is a full power spectrum detection method, and does not require the noise variance or prior information about the signal to be detected. According to the analysis of the statistical characteristics of the power spectrum subband energy ratio, this paper proposes concepts such as interval probability, interval entropy, sample entropy, joint interval entropy, PSER entropy, and sample entropy variance. Based on the multinomial distribution, in this paper the formulas for calculating the PSER entropy and the variance of sample entropy in the case of pure noise are derived. Based on the mixture multinomial distribution, the formulas for calculating the PSER entropy and the variance of sample entropy in the case of the signals mixed with noise are also derived. Under the constant false alarm strategy, the detector based on the entropy of the power spectrum subband energy ratio is derived. The experimental results for the primary signal detection are consistent with the theoretical calculation results, which proves that the detection method is correct.

摘要

在本文中，我们提出了一种基于功率谱子带能量比（PSER）熵的新型盲信号检测器，其检测性能明显优于传统能量检测器。该检测器是一种全功率谱检测方法，不需要噪声方差或关于待检测信号的先验信息。通过对功率谱子带能量比统计特性的分析，本文提出了区间概率、区间熵、样本熵、联合区间熵、PSER熵和样本熵方差等概念。基于多项分布，本文推导了纯噪声情况下PSER熵和样本熵方差的计算公式。基于混合多项分布，还推导了信号与噪声混合情况下PSER熵和样本熵方差的计算公式。在恒虚警策略下，推导了基于功率谱子带能量比熵的检测器。一次信号检测的实验结果与理论计算结果一致，证明了该检测方法的正确性。

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