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

Guangkai LIU; Houde QUAN; Huixian SUN; Peizhang CUI; Kuo CHI; Shaolin YAO

doi:10.11999/JEIT190157

Volume 41 Issue 10

Oct. 2019

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Article Navigation > Journal of Electronics & Information Technology > 2019 > 41(10): 2342-2349

Guangkai LIU, Houde QUAN, Huixian SUN, Peizhang CUI, Kuo CHI, Shaolin YAO. Stochastic Resonance Detection Method for the Dual-Sequence Frequency Hopping Signal under Extremely Low Signal-to-Noise Radio[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2342-2349. doi: 10.11999/JEIT190157

Citation:

Guangkai LIU, Houde QUAN, Huixian SUN, Peizhang CUI, Kuo CHI, Shaolin YAO. Stochastic Resonance Detection Method for the Dual-Sequence Frequency Hopping Signal under Extremely Low Signal-to-Noise Radio[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2342-2349. doi: 10.11999/JEIT190157

Citation:

Guangkai LIU, Houde QUAN, Huixian SUN, Peizhang CUI, Kuo CHI, Shaolin YAO. Stochastic Resonance Detection Method for the Dual-Sequence Frequency Hopping Signal under Extremely Low Signal-to-Noise Radio[J]. Journal of Electronics & Information Technology, 2019, 41(10): 2342-2349. doi: 10.11999/JEIT190157

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

doi: 10.11999/JEIT190157

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)

Received Date: 2019-03-18
Rev Recd Date: 2019-05-27

Available Online: 2019-06-03

Publish Date: 2019-10-01

Abstract

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

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