Weak Signal Detection Method Based on Dominative Frequency PowerRatio Derived from Systems First-order Perturbation Solution

SUN Wenjun; RUI Guosheng; ZHANG Yang; CHEN Qiang

doi:10.11999/JEIT150510

Volume 38 Issue 1

Jan. 2016

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SUN Wenjun, RUI Guosheng, ZHANG Yang, CHEN Qiang. Weak Signal Detection Method Based on Dominative Frequency PowerRatio Derived from Systems First-order Perturbation Solution[J]. Journal of Electronics & Information Technology, 2016, 38(1): 160-167. doi: 10.11999/JEIT150510

Citation:

SUN Wenjun, RUI Guosheng, ZHANG Yang, CHEN Qiang. Weak Signal Detection Method Based on Dominative Frequency PowerRatio Derived from Systems First-order Perturbation Solution[J]. Journal of Electronics & Information Technology, 2016, 38(1): 160-167. doi: 10.11999/JEIT150510

Citation:

SUN Wenjun, RUI Guosheng, ZHANG Yang, CHEN Qiang. Weak Signal Detection Method Based on Dominative Frequency PowerRatio Derived from Systems First-order Perturbation Solution[J]. Journal of Electronics & Information Technology, 2016, 38(1): 160-167. doi: 10.11999/JEIT150510

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Weak Signal Detection Method Based on Dominative Frequency PowerRatio Derived from Systems First-order Perturbation Solution

doi: 10.11999/JEIT150510

Funds:

The National Natural Science Foundation of China (41476089)

Received Date: 2015-05-04
Rev Recd Date: 2015-08-28
Publish Date: 2016-01-19

Abstract

Abstract

Traditional chaotic detection methods have many problems, such as low criterion accuracy and delay state response. To cope with these problems, a weak signal detection method based on dominative frequency power ratio derived from systems first-order perturbation solution is proposed in this paper. This algorithm is ascribable to the all-around analyses of chaotic states global property and system solutions frequency-domain characteristics. It not only gives an effective and accurate critical threshold which could offer more reliable guarantee for signal detection, but also disclosures the differences between system states and the coherent physical meanings. The first-order perturbation equilibrium solution of Duffing-Van der pol oscillator is derived with parameter perturbation method, and it is proved that this solutionis is most significant to the dominative frequency. And then, the effective signal is selectively reconstructed through empirical mode decomposition, and system state is redefined with this ratio restrained under MMSE criterion. Finally the mapping relationship between power ratio of dominative frequencies and driving motivation amplitude is obtained and it is considered as determination criterion of critical threshold. Experimental results show that this algorithm could bring an promotion about one order of magnitude in system reliability, and the response speed is at least doubled compared with traditional methods.
- Signal processing,
- First-order perturbation equilibrium,
- Dominative frequency power ratio,
- Critical threshold,
- Minimum Mean Square Error (MMSE)

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References(38)

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