Abstract:

A simplified model of the shape model is established for fitting the power spectrum of a narrow band stochastic process on the basis of principles of the stochastic process. And the relationship of the peak value, peak frequency, bandwidth of a narrow band stochastic process with the corresponding parameters of the shape filter is deduced. Thus a simplified method to fit the power spectrum of the narrow and stochastic process is established. The method is applied to fit the power spectrum of the heave, pitch and sway motion of the CVA59 aircraft carrier at sea. The comparison between fitted results and measured data shows that the combination method works very well, while the fitting error is larger for the spectrum whose symmetry is not so good and bandwidth is larger.

Key words: na rr ow -band sto chast ic pr ocess, shape filter, pow er spect rum, ship mo tio n