An analysis of noise effect on the identification of sources of potential fields with the continuous wavelet transform method and the choice of the scaling factor
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摘要: 为提高连续小波变换识别位场场源准确度,研究噪声对场源识别结果的影响和尺度因子优选方法问题。根据连续小波变换识别位场场源的基本原理,用该方法对不同噪声水平的合成数据进行场源识别,分析噪声对于场源识别结果的影响,研究小波变换的尺度因子对噪声压制的效果,讨论连续小波变换进行场源识别时尺度因子的选取方法。理论模型和实测资料场源识别结果表明,噪声会降低连续小波变换场源识别结果的准确度,笔者提出的尺度因子优选方法能有效压制噪声干扰,提高场源识别结果的准确度。Abstract: In order to improve the accuracy of the identification of sources of potential fields with the continuous wavelet transform meth-od ( CWT) , this paper deals with the effect of noise and the choice of scaling factor. Firstly, the principle of the identification of sources of potential fields with the CWT method is presented. Secondly, the method is used to identify the sources from potential field data with noise of various levels, and the effect of noise is analyzed. Lastly, the effect of suppressing noise by CWT is analyzed, and the choice of scaling factor is studied. The results of identification of the sources of synthetic data and field data indicate that the noise can decrease the accuracy of identification result. but the choice of the scaling factor can suppress the noise and improve the accuracy of the identification result.
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