A nonparametric identification method to frequency response funtion estimation
Meng Xin-yu 1,2 Ning Hui2 Wang Dao-bo1 Tang Xiao-jun1
1 College of Automation Engineer, Nanjing university of Aeronautics and Astronautics, Nanjing Jiangsu 210016 2 Northwest Institute of Nuclear Technology, Wulumuqi 841700
Abstract：In this paper, we discuss the problem of studying a nonparametric identification method to frequency response function estimation, which can be applied to vibration engineer field. In the discrete fourier transform, we consider the effect from the initial - final conditions and observed noise spectrum on the frequency response function estimation. To obtain the more accurate frequency response function estimation value, we combine the frequency response function, the initial - final conditions and impulse response parameters as a identified parameter vector, so as to convert the former problem of frequency response function estimation to a linear least square optimum problem. Then a new separable algorithm is proposed to solve this linear least square optimum problem. Finally the simulation example results confirm the identification theoretical results.
2013, Vol. 32 
