Abstract
An improved Piecewise Tri-stable Stochastic Resonance (PTSR) system is investigated to enhance the low performance of Classical Tri-stable Stochastic Resonance (CTSR) system for weak signal extraction. Firstly, the proposed PTSR system is theoretically compared with CTSR system. Secondly, based on adiabatic approximation theory, the analytical expressions for the Mean First Pass Time (MFPT) and the output Signal-to-Noise Ratio (SNR) of the system are derived. Afterwards, a PTSR-EMD system that combines PTSR system with empirical mode decomposition (EMD) is proposed. Finally, the above three systems are applied to the detection of harmonic signals and actual fault signals, and the superior performance of PTSR-EMD system over PTSR system and CTSR system are confirmed.
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