The mixed signals separation method, vibration control strategy and test verification are all the important problems in multiple input multiple output mixed mode vibration system with random and sine signals. Based on the whole separation method, the correlation integral algorithm is proposed to be applied in the separation of sine and random signals. The self-spectrum and cross-spectrum including coherence and phase messages are both key elements of reference power spectral density matrix, so that the Jacobi method is obtained according to the multiple input multiple output linear vibration theory. The method has more pertinence to the specific elements of spectral matrix. There is excessive updating problem in sine vibration test, and this can destroy the vibration devices and make high level noises. To solve the problem, the impendence algorithm is proposed by introducing the compression updating factor. In the last part of the paper, a two input two output vibration system is established on a cantilever beam to verify the J-impendence method and the results show that the method has high control precision and can be applied in actual engineering application.