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Title: Hartley transform and its properties (in Chinese)

Journal Article · · Shiyou Diqiu Wuli Kantan (Oil Geophysical Prospecting); (China)
OSTI ID:7191532
 [1]
  1. Geophysical Research Institute, P.O. Box 910, No. 20, College Road, Beijing City (China)

Hartley Transform (HT) is an integral transform similar to Fourier Transform (FT) and it inherits most FT properties. fast Hartley Transform (FHT) can be achieved by using the structures similar to that in Fast Fourier Transform (FFT). However, HT has two advantages over FT: the same forward and inverse transforms, and real number transform. As a result, HT is faster than FT because the internal storage needed in real number operation is half as mush as that in complex number operation. Hence, in many data processings with FT, such as filtering, forward modeling, migration and so on, HT results in faster operation and less internal storage than FT does. HT original formulae are derived from FT circular function expressions. In this paper, the relationship between HT and ft or Hilbert transform is analyzed in detail. HT properties are summed by comparing with FT, and they are extended to discrete HT and multidimensional HT. HT and FT have similar or same properties, sot ht widely used FT program can be easy converted into HT program, resulting in faster seismic data processing.

OSTI ID:
7191532
Journal Information:
Shiyou Diqiu Wuli Kantan (Oil Geophysical Prospecting); (China), Vol. 27:5; ISSN 1000-7210
Country of Publication:
United States
Language:
Chinese