Hartley变换与Fourier变换在位场数据处理和转换中的对比研究

发布时间：2018-07-21 14:40

【摘要】：Hartley变换是一种实数域变换方法,Fourier变换是一种复数域变换方法.而位场数据是实数,因此对于Hartley变换来讲可以直接使用,但对Fourier变换需要将实数转化为复数才能使用,这样就降低了效率.本文通过整理Hartley变换和Fourier变换的定义、性质、快速算法的计算量以及在位场数据处理和转换上的频率响应,对Hartley变换和Fourier变换进行对比研究.通过对比表明,Hartley变换的性质、频率响应均比Fourier变换复杂;Hartley变换快速算法的计算量比复数域Fourier变换的计算量少一倍,但与实数域Fourier变换的计算量相当.理论模型测试和实际资料处理结果表明,Hartley变换和Fourier变换在位场数据处理和转换方面的计算精度相当,且计算量也基本相同.因此,Fourier变换用于位场数据处理和转换时比Hartley变换更具有优势.
[Abstract]:Hartley transform is a real field transformation method. Fourier transform is a complex domain transformation method. The bit-field data is a real number, so it can be used directly for Hartley transform, but the Fourier transform needs to convert the real number to the complex number to use, which reduces the efficiency. In this paper, Hartley transform and Fourier transform are compared and studied by sorting out the definitions, properties, computational complexity of the fast algorithm and the frequency response in the data processing and conversion of the potential field. By comparing the properties of Hartley transform, it is shown that the frequency response is twice as much as that of complex Fourier transform, but is equivalent to that of real Fourier transform. The results of theoretical model test and practical data processing show that the calculation accuracy of Hartley transform and Fourier transform in data processing and conversion of potential field is the same, and the calculation amount is basically the same. Therefore, Fourier transform is more advantageous than Hartley transform in processing and converting potential field data.
【作者单位】：长安大学重磁方法技术研究所长安大学地质工程与测绘学院长安大学西部矿产资源与地质工程教育部重点实验室;
【基金】：中央高校基本科研业务费专项资金(2014G3262010,310826163301)资助
【分类号】：P631

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