论述GOCE卫星重力梯度测量误差的来源及其特性,提出采用AR模型基于先验的误差PSD模拟卫星重力梯度仪有色噪声时间序列,给出AR模型构造平稳随机过程的基本原理和数学模型。根据两类解析形式的重力梯度仪观测噪声PSD分别模拟相应的有色噪声时间序列,模拟的噪声时间序列对应的PSD与解析形式PSD比较的结果验证了AR模型用于模拟GOCE卫星重力梯度测量有色噪声的可行性和有效性。
The origin and the properties of gravity gradiometry error of GOCE satellite are discussed and the method of simulating the time series of colored noise based on the AR model with the priori error PSD of the gradiometer is proposed. The theory about generating the stationary stochastic process based on the AR model is stated. We simulated noise time series based on the AR model according to two types of analytical instrument error PSD. The comparison between the analytical PSD and the PSD from the simulated noises shows that the AR model can be used for simulating the noise time series of gravity gradiometry of GOCE satellite.