Research on Linear Estimation Method Considering Observation Noise and Data Resolution
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摘要: 基于最小均方误差准则的频域形式,探讨了观测噪声和数据分辨率对估计结果的综合影响,给出了频域内顾及观测噪声和数据分辨率的最优线性估计及其误差功率谱的一般公式。算例表明,当数据分辨率较高时,观测噪声对估计精度占有主要的影响;当数据分辨率较低时,估计误差主要表现为采样不足引起的混叠误差,观测精度的提高对估计结果的改善非常有限。研究成果可为重力场精化中技术方案的设计提供参考。Abstract: The estimation errors leading by the observation noise and the data resolution are discussed.The general formula of optimal linear estimation and its error power spectrum that considering observation noise and data resolution are given based on the frequency form of the least mean square error criterion.The example shows that the estimation results are mainly affected by measurement noises when the data resolution is high.However,the aliased errors because of discete sampling are dominated in the estimation results when the data resolution is lower at some degree.Improving the quality of observations has a little effect on the improvement of the accuracy of estimation results.The findings can be a reference for the scheme design of gravity data sampling.
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