Genertion of a variogram from spatial data using a Fourier Transform

摘要

A Semi-Variogram is generated by taking the Fourier Transform of 'spatial data in the space domain' thereby producing a frequency domain representation of the spatial data having a DC component (equivalent to a mean of the spatial data), removing the DC component to produce the frequency domain representation of the spatial data with zero mean (FFT), computing the complex conjugate of FFT (FFT*), complex multiplying FFT and FFT* to produce a complex product, taking the inverse Fourier Transform of the complex product to produce a space domain representation of the complex product (IFFT), and subtracting IFFT from the zero lag covariance to generate a Semi-Variogram.