Two-Stage Difference Mode Decomposition for Noise Frequency Band Elimination

Difference mode decomposition (DMD) is an ideal decomposition method that can accurately separate the signal into fault components, natural components, and noise. However, DMD is proposed based on the assumption that the amplitude of the noise spectral line is 0, and it cannot analyze the signal with a low signal-to-noise ratio (SNR). To expand the application scenarios of DMD, the two-stage difference mode decomposition method (TDMD) is proposed for diagnosing rolling bearing faults. The sum of the amplitudes of the power spectral density in a certain frequency band is expressed as the spectral line of the local power spectral density (LPSD). Taking advantage of that LPSD can weaken the influence of noise spectral lines covering fault spectral lines, inputting LPSD into DMD can locate the noise frequency band. Set the spectrum lines in the noise frequency band to zero, and preliminarily eliminate noise interference. Inputting the noise-reduced normalized spectrum to DMD can accurately extract the fault components. Simulation and experimental verification show that this method can effectively analyze signals with a low SNR.