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本文在分析低纬度磁异常化极和分量换算算子放大高频噪声的频率特性基础上,采用Tikhonov正则化方法来稳定所讨论的转换算子。同时,提出了一种基于径向平均功率谱的磁异常噪声水平估计方法,进而利用后验策略的偏差准则求取正则化方法的正则参数。基于理论模型的试验结果表明,磁异常噪声水平估计方法精度较高,且低纬度磁异常正则化化极和分量换算的稳定性和精度相较常规算子有大幅提高。
Based on the analysis of the frequency characteristics of low frequency magnetic anomalous polar and component scaling operators to amplify high frequency noise, the Tikhonov regularization method is used to stabilize the conversion operator in question. At the same time, a method of magnetic anomaly noise level estimation based on radial average power spectrum is proposed, and then the regular parameters of regularization method are obtained by using the deviation criterion of posterior strategy. The experimental results based on the theoretical model show that the method of magnetic anomaly noise level estimation has high accuracy and the stability and accuracy of polar and component scaling of normalized magnetic anomalies at low latitudes are greatly improved compared to conventional operators.