多重小波分析在高精度重力仪数据处理中的应用

根据随机过程理论，建立离散的重力异常状态方程；基于多重小波理论分析的基础，将多重小波变换应用到高精度重力仪数据处理中，在高精度重力仪数据处理中采用软阈值法消除背景噪声，并与单小波多尺度分析进行了对比．以实际数据与处理后数据偏差平方和的平均数作为衡量2种数据处理方法性能的指标，理论分析和仿真实验表明：多重小波和单小波都能在一定程度上抑制噪声对高精度重力仪测量数据的影响，但多重小波的性能优于单小波．

Research on application of multiwavelet to data process of precise gravimeter

Based on the theory of random process, the discrete equation of gravitational abnormal is established. Compared with wavelet, the theory of multiwavelet is analyzed and applied to process the gravitational abnormal data measured by precise gravimeter, and the method of soft threshold is adopted during the data process. The average bias square between the true data and processed data is used as the rule of evaluating the performance of the data processing methods. Theoretical analysis and emulation experiments indicate that both multiwavelet and wavelet are effective for alleviating the effect of noise on gravitational value, but the performance of multiwavelet excels that of wavelet.