A nonparametric identification method for frequency response funtion estimation

Here,a nonparametric identification method for frequency response function estimation was proposed.It could be applied in vibration engineering field.In discrete Fourier transformation,the effect of the initial and end conditions and an observed noise spectrum on frequency response function estimation was studied.To obtain the more accurate frequency response function estimation values,the frequency response function,the initial and end conditions and impulse response coefficients were taken as a parameter vector to be identified.The problem of frequency response function estimation was converted into a linear least square optimal problem.Then,a new separable algorithm was proposed to solve this linear least square optimal problem.Finally,the simulation example results verified the effectiveness of the proposed method.