Feature extraction for nonlinear systems based on permutation entropy theory

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (7) : 67-73.

WU Wei, SHEN Yongjun, YANG Shaopu

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Abstract

A pseudo phase plane method based on permutation entropy and its improved theory was proposed to extract weak periodic signal’s features in a nonlinear system. Through choosing a reasonable time delay and embedding dimension, the phase space of a Duffing system’s response signal was reconstructed to obtain primary permutation entropy and quadratic one. Then, displacement excitation, primary permutation entropy and quadratic one were taken as data sets to form two pseudo phase planes of displacement excitation-primary permutation entropy and displacement excitation-quadratic one. The proposed method’s extracting effect was compared with those of traditional methods including phase plane method, spectral analysis, permutation entropy, permutation entropy spectrum, quadratic permutation entropy and quadratic permutation entropy spectrum to verify the rationality of the proposed method. The study showed that the proposed method can extract characteristics of weak periodic signal in nonlinear systems, and achieve better effect.

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permutation entropy / pseudo phase plane / Duffing system / feature extraction

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WU Wei, SHEN Yongjun, YANG Shaopu. Feature extraction for nonlinear systems based on permutation entropy theory[J]. Journal of Vibration and Shock, 2020, 39(7): 67-73

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