Aiming at the status that planetary gearbox vibration signal is usually appeared as coupling problem of steady state modulation component and shock modulation component under fault condition

different solution models have been established and a new method for the separation of coupled modulated vibration signals has been proposed. Shock modulated component separation was realized by the application of sparse total variation model

using an improved asymmetric penalty function

according to a strategy of coefficient of kurtosis and selection of regularization parameters based on mean square index

using majorization-minimization (MM) to solve the model. Steady state component separation was achieved by using base tracking. Simulation and experimental results verify the effectiveness of the proposed method for the separation and separation of vibration signals of planetary gearbox in a strong noise environment. The results of experimental show that this method can quickly isolate the weak shock modulation components under the noise D of 0.15. The algorithm has fewer iteration times and better convergence effect.