Possibility of solving convolution equations with an unknown kernel in the case of multidimensional spatially limited signals

Details Possibility of solving convolution equations with an unknown kernel in the case of multidimensional spatially limited signals Possibility of solving convolution equations with an unknown kernel in the case of multidimensional spatially limited signals

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985avtme.......92b&link_type=abstract

Avtometriia (ISSN 0320-7102), Sept.-Oct. 1985, p. 92-95. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Photometry, Convolution Integrals, Signal Analysis, Image Reconstruction, Kernel Functions, Polynomials, Signal Distortion

Scientific paper

It is shown that the convolution equation for multidimensional digital and continuous signals can be solved at least in theory if certain equivalent sufficient conditions are satisfied. The sole necessary requirement is the spatial limitedness of the functions representing the undistorted signal and the kernel of the convolution equation. An application of the proposed approach is the reconstruction of astronomical images distorted by atmospheric turbulence.

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