The invention discloses a gear case
coupling modulation
signal separation method based on inner product transformation and correlation filtering. According to the method, on the basis of the structure parameter (like the number Z of teeth) and the operational state (like the rotating frequency fn), a
parsing dictionary Ds(t) capable of representing a stable modulation
signal is constructed; an inherent frequency fd and a
damping ratio Xi that correspond to the
impact are identified in a gear case
vibration acceleration signal x(t) by using a
correlation filter method and an adaptive dictionary Dc(t) capable representing an
impact modulation signal is constructed; and according to inner product transformation and correlation analyzing of the x(t), the Ds(t), and the Dc(t), sparse
decomposition is carried out on the x(t) so as to obtain a primary function DS(t) and a coefficient Ai that are capable of expressing a stable modulation signal as well as a primary function DC (t) and a coefficient Bi that are capable of expressing an
impact modulation signal, and separation is carried out to obtain a stable modulation signal Dpw(t) that is equal to sigma Ai DS (t) and an impact modulation signal Dcj(t) equal to sigma Bi DC (t). The method for constructing a
parsing dictionary has advantages of both the
parsing method and the
adaptive method; and the physical significance is explicit. No complete orthogonality is required and the universality is high. The
coupling modulation
separation result is precise and reliable; and the anti-
noise performance is good. A defect that the weak impact can not be extracted easily according to the traditional method can be overcome.