極低信噪比下對(duì)偶序列跳頻信號(hào)的隨機(jī)共振檢測(cè)方法

劉廣凱; 全厚德; 孫慧賢; 崔佩璋; 池闊; 姚少林

doi:10.11999/JEIT190157

極低信噪比下對(duì)偶序列跳頻信號(hào)的隨機(jī)共振檢測(cè)方法

doi: 10.11999/JEIT190157

1.
陸軍工程大學(xué)電子與光學(xué)工程系 ??石家莊 ??050003
2.
陸軍工程大學(xué)裝備指揮管理系 ??石家莊 ??050003
3.
洛陽(yáng)電子信息裝備試驗(yàn)中心洛陽(yáng) 471000

基金項(xiàng)目: 河北省自然科學(xué)基金(F2017506006)

詳細(xì)信息

作者簡(jiǎn)介:
劉廣凱：男，1990年生，博士生，研究方向?yàn)槲⑷跣盘?hào)檢測(cè)、通信抗干擾

全厚德：男，1963年生，教授，研究方向?yàn)橥ㄐ趴垢蓴_、指控系統(tǒng)無(wú)線效能增強(qiáng)

孫慧賢：男，1980年生，講師，研究方向?yàn)橹笓]信息系統(tǒng)工程、戰(zhàn)術(shù)無(wú)線通信技術(shù)

崔佩璋：男，1974年生，副教授，研究方向?yàn)樾畔⑴c通信系統(tǒng)

池闊：男，1990年生，博士生，研究方向?yàn)闄C(jī)械系統(tǒng)狀態(tài)檢測(cè)、故障預(yù)測(cè)與健康管理

姚少林：男，1992年生，助理工程師，研究方向?yàn)殡娮友b備測(cè)試

通訊作者:
劉廣凱　dreamer_gk@163.com

中圖分類(lèi)號(hào): TN918
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出版歷程
- 收稿日期: 2019-03-18
- 修回日期: 2019-05-27
- 網(wǎng)絡(luò)出版日期: 2019-06-03
- 刊出日期: 2019-10-01

Stochastic Resonance Detection Method for the Dual-Sequence Frequency Hopping Signal under Extremely Low Signal-to-Noise Radio

1.
Department of Electronics and Optical Engineering, Army Engineering University, Shijiazhuang 050003, China
2.
Department of Equipment Command and Management, Army Engineering University, Shijiazhuang 050003, China
3.
Luoyang Electronic Equipment Test Center, Luoyang 471000, China

Funds: The Natural Science Foundation of Hebei Province (F2017506006)

摘要

摘要: 針對(duì)對(duì)偶序列跳頻(DSHF)在極低信噪比(SNR)下無(wú)法通信的問(wèn)題，該文充分利用對(duì)偶序列跳頻信號(hào)時(shí)、頻域物理特征，提出一種隨機(jī)共振(SR)檢測(cè)方法，極大擴(kuò)展該信號(hào)的應(yīng)用場(chǎng)景。首先，通過(guò)分析對(duì)偶序列跳頻的發(fā)射、接收信號(hào)及超外差解調(diào)的中頻(IF)信號(hào)，構(gòu)建隨機(jī)共振系統(tǒng)，采用尺度變換調(diào)整中頻信號(hào)；然后，引入判決時(shí)刻，將無(wú)定態(tài)解的非自治?？似绽士朔匠?FPE)轉(zhuǎn)化為可解的自治方程，從而推導(dǎo)出含時(shí)間參量的概率密度周期定態(tài)解；其次，以最大后驗(yàn)概率為準(zhǔn)則，得到檢測(cè)概率、虛警概率和接收機(jī)工作特性(ROC)曲線；最后，得出以下結(jié)論：(1) 應(yīng)用匹配隨機(jī)共振檢測(cè)對(duì)偶序列跳頻信號(hào)的信噪比最低可達(dá)–18 dB；(2)對(duì)偶序列跳頻與匹配隨機(jī)共振結(jié)合，適用于信噪比在–18～–14 dB的信號(hào)檢測(cè)；(3)應(yīng)用匹配隨機(jī)共振檢測(cè)對(duì)偶序列跳頻信號(hào)在信噪比為–14 dB時(shí)，檢測(cè)性能提升了25.47%。仿真實(shí)驗(yàn)驗(yàn)證了理論的正確性。
- 信號(hào)檢測(cè) /
- 對(duì)偶序列跳頻 /
- 隨機(jī)共振 /
- 檢測(cè)性能
Abstract: Considering the problem that the Dual-Sequence Frequency Hopping (DSFH) can not communicate at extremely low Signal-to-Noise Ratio (SNR), a Stochastic Resonance (SR) detection method is proposed. The SR takes full advantage of the physical characteristics of DSFH signal to improve the detection performance. Firstly, the SR is constructed by analyzing signals of transmission, reception and the Intermediate Frequency (IF). The scale transaction is used to adjust the IF signal to fit the SR. Secondly, the non-autonomous Fokker-Plank Equation (FPE) is transformed into an autonomous equation by introducing the decision time. Therefore, the analytical solution of the probability density function with the parameter of decision time is obtained. Finally, the detection probability, false alarm probability and Receiver Operating Characteristics (ROC) curve are obtained, when the criterion is the Maximum A Posterior probability (MAP). Simulation analysis results show three conclusions: (1) The SNR of DSFH signal can be as low as –18 dB, which uses the matched SR detection. (2) Method for combining DSFH with the matched SR is suitable to detect the signals with SNR of –18 ～–14 dB. (3) In the case of –14 dB SNR, the DFSH signal detection performance increases by 25.47%, when using SR. The proposed method effectiveness is proved with simulation results.
- Signal detection /
- Dual-Sequence Frequency Hopping (DSFH) /
- Stochastic Resonance (SR) /
- Detection performance

HTML全文

圖 1 對(duì)偶序列跳頻發(fā)射結(jié)構(gòu)

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圖 2 對(duì)偶序列跳頻接收結(jié)構(gòu)

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圖 3 判決區(qū)域及判決概率

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圖 4 DSFH系統(tǒng)在不同SNR時(shí)的射頻域時(shí)頻圖

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圖 5 對(duì)偶序列跳頻的中頻信號(hào)經(jīng)隨機(jī)共振系統(tǒng)前后的時(shí)頻域波形

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圖 6 粒子處于不同位置時(shí)的概率密度

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圖 7 對(duì)偶序列跳頻信號(hào)的隨機(jī)共振ROC曲線

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圖 8 對(duì)偶序列跳頻信號(hào)的隨機(jī)共振檢測(cè)性能隨SNR變化情況

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圖 9 對(duì)偶序列跳頻信號(hào)的隨機(jī)共振檢測(cè)概率隨先驗(yàn)概率變化情況

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