To lessen the complexity of the non-uniform sampling interpolation algorithm and shorten the time spent on the interpolation process,non-uniform sampling wavelet transformation was introduced to deal with the corrected date directly and estimate the resonance frequency.

To solve the key technology of estimation on torque vibration\'s resonance frequency,two methods,resonance frequency estimation method based on adaptive weights preconditioned conjugate gradient and the method based on non-uniform sampling wavelet transform were presented.

When two signals are sampled by nonuniform sampling,and the amplitude of one signal is above 10% smaller than that of the other,the weak signal cannot be detected from the mixed signal′s spectrum because of sampling′s fake-randomicity.

In this paper, the conception of nonuniform sampling of wave-number-limited fonctions in N-dimentional euclideen space is discussed Insert functions and insert formulas of N-dimentional periodical nonuniforms sampling are deduced sampling laws of N-dimentional periodical nonuniform sampling are prove

A method to evaluate the sampling uniformity is presented,it deals with the nonuniformly sampling data acquisition systems.

In order to reduce the computational quantity of the processing of the LFM signal in fractional Fourier domain and to meet the real-time request,a new nonuniformly sampling method is proposed.