论文部分内容阅读
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.
Hartley transform is a real number domain transform method, Fourier transform is a complex number domain transform method, and the field data is a real number, so for the Hartley transform can be used directly, but the Fourier transform needs to be converted into real numbers into complex numbers to use, In this way, the efficiency is reduced.Through the definition of Hartley transform and the definition of Fourier transform, the nature of the algorithm, the computational complexity of fast algorithm and the frequency response of data processing and conversion, the Hartley transform and Fourier transform are contrastively studied. , The Hartley transform is more complex than the Fourier transform in its nature and frequency response. The computational complexity of the Hartley transform is twice as that of the complex Fourier transform, but it is equivalent to that of the real Fourier transform. The theoretical model test and the actual data The results show that Hartley transform and Fourier transform are equivalent to Hartley transform in the field of field data processing and conversion, and the computational complexity is basically the same. Therefore, the Fourier transform is more advantageous than the Hartley transform in the field data processing and conversion.