Multi-Frequency Signal Detection Based on Frequency Exchange and Re-Scaling Stochastic Resonance and Its Application to Weak Fault Diagnosis
1
School of Mechanical Engineering, Tianjin University, Tianjin 300350, China
2
School of Mechatronics Engineering, Nanchang University, Nanchang 330031, China
*
Author to whom correspondence should be addressed.
Sensors 2018, 18(5), 1325; https://doi.org/10.3390/s18051325
Received: 24 March 2018
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Revised: 18 April 2018
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Accepted: 21 April 2018
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Published: 25 April 2018
(This article belongs to the Special Issue Sensor Signal and Information Processing)
Mechanical fault diagnosis usually requires not only identification of the fault characteristic frequency, but also detection of its second and/or higher harmonics. However, it is difficult to detect a multi-frequency fault signal through the existing Stochastic Resonance (SR) methods, because the characteristic frequency of the fault signal as well as its second and higher harmonics frequencies tend to be large parameters. To solve the problem, this paper proposes a multi-frequency signal detection method based on Frequency Exchange and Re-scaling Stochastic Resonance (FERSR). In the method, frequency exchange is implemented using filtering technique and Single SideBand (SSB) modulation. This new method can overcome the limitation of "sampling ratio" which is the ratio of the sampling frequency to the frequency of target signal. It also ensures that the multi-frequency target signals can be processed to meet the small-parameter conditions. Simulation results demonstrate that the method shows good performance for detecting a multi-frequency signal with low sampling ratio. Two practical cases are employed to further validate the effectiveness and applicability of this method.
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Keywords:
signal processing; stochastic resonance; frequency re-scaling; frequency exchange; multi-frequency signal detection
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MDPI and ACS Style
Liu, J.; Leng, Y.; Lai, Z.; Fan, S. Multi-Frequency Signal Detection Based on Frequency Exchange and Re-Scaling Stochastic Resonance and Its Application to Weak Fault Diagnosis. Sensors 2018, 18, 1325. https://doi.org/10.3390/s18051325
AMA Style
Liu J, Leng Y, Lai Z, Fan S. Multi-Frequency Signal Detection Based on Frequency Exchange and Re-Scaling Stochastic Resonance and Its Application to Weak Fault Diagnosis. Sensors. 2018; 18(5):1325. https://doi.org/10.3390/s18051325
Chicago/Turabian StyleLiu, Jinjun, Yonggang Leng, Zhihui Lai, and Shengbo Fan. 2018. "Multi-Frequency Signal Detection Based on Frequency Exchange and Re-Scaling Stochastic Resonance and Its Application to Weak Fault Diagnosis" Sensors 18, no. 5: 1325. https://doi.org/10.3390/s18051325
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