Physical aspects of the Hartley transform

Details Physical aspects of the Hartley transform Physical aspects of the Hartley transform

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jatp...51..791b&link_type=abstract

Journal of Atmospheric and Terrestrial Physics (ISSN 0021-9169), vol. 51, Sept.-Oct. 1989, p. 791-795.

Physics

3

Atmospheric Physics, Diffraction Radiation, Fast Fourier Transformations, Fourier Analysis, Hermitian Polynomial, Wave Scattering, Algorithms, Backscattering, Ionospheric Disturbances

Scientific paper

The close links between Fourier analysis and physics are shared by the Hartley (1942) transform, which represents real data by real transform values, rather than complex, a feature that carries over into optical interferometry. Some objects are characterized by phase as well as brightness. In such cases the Hartley transform acquires an imaginary part while the Fourier transform loses its Hermitian property. The interrelation between the two complex planes suggests an instrumental means for object phase determination starting from only amplitude information in the transform domain.

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