Approximating true radioluminance distribution from observations on aperture synthesis systems
Abstract
One of the fundamental problems in radioastronomy, namely producing a radioluminance distribution from observations on an aperture synthesis system with Fourier transformation, cannot be solved exactly in the case of an arbitrary distribution function about which a real aperture synthesis system yields incomplete information, so that it is not possible to obtain its Fourier transform. It is therefore solved approximately, considering that a distribution of radioluminance is one of points on a unit sphere and can, under certain conditions, be regarded as a function of only two Cartesian coordinates with a rectangular region of definition and as zero outside this region. One deficiency of classical data processing here, namely unremovable deviations of the function in the case of holes inside the region of definition, is overcome by a nonclassical method based on solution of the problem of moments in the large sense. This method reduces the problem of radioluminance distribution to finding the linear functional of a numerical sequence and solves it uniquely with fundamentality of the set as a necessary and sufficient condition.
 Publication:

USSR Rept Electron Elec Eng JPRS UEE
 Pub Date:
 September 1984
 Bibcode:
 1984RpEEE....Q...8K
 Keywords:

 Errors;
 Luminance;
 Radio Astronomy;
 Synthetic Apertures;
 Cartesian Coordinates;
 Data Processing;
 Distribution Functions;
 Fourier Transformation;
 Interferometers;
 Astronomy