Spectrum extrapolation for complex sources via two-channel version of a principle of minimal spatial extension of solution

Authors

DOI:

https://doi.org/10.1109/ICATT.2011.6170720

Keywords:

antenna measurement, spatial spectrum extrapolation, Tartakovsky-Gerchberg-Papoulis iterative algorithms, method of minimal extension

Abstract

Problem of spatial spectrum extrapolation is considered. Method of minimal spatial extension of solution is used. Two-channel version of functional of quasi-extension is proposed. Case of complex point sources is investigated. Reduction of errors is observed in comparison with one-channel version.

References

SLEPIAN, D.; POLLAK, H.O. Prolate spheroidal wave functions, Fourier analysis and uncertainty - III. Bell System Tech. J., 1962, v.41, p.1295-1336.

TARTAKOVSKY, L.B. Synthesis of linear radiator and its analogy in a problem of the broadband matching. Radioengineering and Electronics, 1958, n.3, p.1463-1474.

GERCHBERG, R.W. Super-resolution through error energy reduction. Optica Acta, 1974, v.21, p.301-314, doi: http://dx.doi.org/10.1080/713818946.

PAPOULIS, A. A new algorithm in spectral analysis and band-limited extrapolation. IEEE Trans. Circuits Systems, 1975, v.22, n.9, p.735-742, doi: http://dx.doi.org/10.1109/TCS.1975.1084118.

MARTINI, E.; BREINBJERG, O.; MACI, S. Reduction of Truncation Errors in Planar Near-Field Aperture Antenna Measurements Using the Gerchberg-Papoulis Algorithm. IEEE Trans. Antennas Propag., 2008, v.56, n.11, p.3485-3493, doi: http://dx.doi.org/10.1109/TAP.2008.2005442.

VOVK, S.M.; BORULKO, V.F. A minimum-duration method for recovering finite signals. Radioelectronics and Communications Systems, 1991, v.34, p.67-69.

VOVK, S.M.; BORULKO, V.F. Statement of a problem of definition of linear signals parameters in quasinormed space. Radioelectronics and Communications Systems, 2010, v.53, n.7, 367-375, doi: http://dx.doi.org/10.3103/S0735272710070046.

BORULKO, V.F.; VOVK, S.M. Sources estimation in the 1-d array of electric dipoles by using principle of minimum spatial extension of solution. Radiophysics and Electronics, 2011, v.2, n.16, p.14-20.

Published

2011-09-25