The family of atomic functions and digital signal processing in synthetic aperture radar

Authors

  • Victor F. Kravchenko Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation
  • Valeriy K. Volosyuk National Aerospace University (KhAI), Ukraine
  • Vladimir V. Pavlikov National Aerospace University (KhAI), Ukraine https://orcid.org/0000-0002-6370-1758

DOI:

https://doi.org/10.1109/ICATT.2007.4425109

Keywords:

atomic functions, ambiguity function, modified method of synthesis of the aperture

Abstract

The report consists of two parts. In the first part, the sampling analysis of weight windows is conducted on the basis of atomic functions (AF) and their application in problems of the classical method of synthetic aperture radar (SAR) is considered. The second part contains fundamentals of a modified method of synthetizing the aperture. The modified ambiguity function for different signals is probed. The lacks of the Ambiguity function are detected at a modified method. The paths of elimination of the indicated lacks are offered by introduction of weight processing in a technique of the modified method. The expediency of application of weight windows based on AF in reduced problems is empirically justified.

References

KRAVCHENKO, V.F.; RVACHEV, V.L. Boolean Algebra, Atomic Functions, and Wavelets in Physical Applications. Moscow: Fizmatlit, 2006.

KRAVCHENKO, V.F. Lectures on the Theory of Atomic Functions and Their Some Applications. Moscow: Radiotekhnika, 2003.

ZELKIN, Y.G.; KRAVCHENKO, V.F.; GUSEVSKII, V.I. Constructive Methods of Approximation in Antennas Theory. Moscow: Science-Press, 2005.

ESCAMILLA-HERNANDEZ, E.; KRAVCHENKO, V.F.; PONOMARYOV, V.I.; SMIRNOV, D.V. Radar Processing on Basis of Kravchenko-Rvachev's Functions for Resolving of Numerical Targets. Telecommunications and Radio Engineering, 2006, v.65, n.1-5. p.209-224, doi: http://dx.doi.org/10.1615/TelecomRadEng.v65.i3.30.

SHIRMAN, Y.D. (ed.), Radioelectronic Systems: Fundamentals and the Theory, 2nd. ed. Moscow: Radiotekhnika, 2007.

VOLOSYUK, V.K.; KRAVCHENKO, V.F.; FALKOVICH, S.Y. Optimization of estimates of the spatially distributed parameters of electrodynamic models of surfaces in inverse interpretation problems for active remote sensing. Doklady Physics, 1992, v.37, n.1, p.23-26.

VOLOSYUK, V.K.; KRAVCHENKO, V.F.; PUSTOVOIT, V.I. Optimization of estimates for spatially distributed electrophysical parameters and statistical characteristics of the surface in scatterometric active radar systems. Doklady Physics, 1997, v.42, n.10, p.542-545.

KRAVCHENKO, V.F.; FALKOVICH, S.E.; VOLOSYUK, V.K. Statistical theory of active radar systems for remote probing of natural environment. Measurement Techniques, 1995, v.38, n.1, p.101-107, doi: http://dx.doi.org/10.1007/BF00976756.

VOLOSYUK, V.K. Optimization of estimations of spatially - distributed parameters in problems of radiovision and cartography. Radioelectronics and Communications Systems, 2000, v.43, n.7, p.14-20.

VOLOSYUK, V.K.; KRAVCHENKO, V.F.; KSENDZUK, A.V.; PUSTOVOIT, V.I. Modified Method of Antenna Aperture Synthesis. Doklady Physics, Jun. 2004, v.49, n.6, p.357-360, doi: http://dx.doi.org/10.1134/1.1774060.

VOLOSYUK, V.K.; KSENDZUK, A.V.; KRAVCHENKO, V.F. Peculiarities of Specific ESS Reconstruction. Modified Method of Aperture Synthesis. Uspekhi Sovremennoi Radioelektroniki, 2005, n.5, p.10-28.

OPPENHIM, A.V.; SCHAFER, R.W. Discrete-Time Signal Processing. NJ: Prentice Hall, 1999.

GONZALEZ, R.C.; WOODS, R.E. Digital Image Processing. NJ: Prentice Hall, 2002.

SOUMEKH, M. Synthetic Aperture Radar Signal Processing with Matlab Algorithms. NY: John Wiley and Sons, Inc., 1999.

Published

2007-09-22