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Imaging radar targets with superresolution by algebraic methods

Keywords:

B.А. Lagovsky – Dr.Sc. (Eng.), Professor, Moscow State Technical University of Radio Engineering and Automation. E–mail: robertlag@yandex.ru
А.B. Samokhin – Dr.Sc. (Phys.-Math.), Professor, Head of Department of Applied Mathematics, Moscow State Technical University of Radio Engineering and Automation. E–mail: absamokhin@yandex.ru
А.S. Samokhina – Dr.Sc. (Eng.), Leading Research Scientist, Institute of Control Sciences of Russian Academy of Sciences. E–mail: assamokhina@yandex.ru


The methods of obtaining of an image of radar objects with the improved angular resolution are offered rather simple for practical realization. On the basis of the preliminary information on a source of signals algorithms allow to increase consistently the effective angular resolution before achievement greatest possible for a solved problem. Algorithms of secondary processing of the information necessary for it are described. Adequacy and stability of the received decisions is investigated on the created mathematical model. The created high-speed algorithms allow to process signals in a of real time mode. Methods of the further increase of effective angular resolution of systems on the basis of more complex algorithms of data processing are developed. The opportunity of increase in the effective angular resolution is shown at much smaller signal to noise ratio, than at use of known methods.
References:

  1. Bajwa W.U., Gedalyahu K., Eldar Y.C. Identification of Parametric Underspread Linear Systems and Super-Resolution Radar // IEEE Transactions on Signal Processing. 2011. V. 52. № 5. P. 2548–2561.
  2. Herman M.A., Strohmer T. High-resolution radar via compressed sensing // IEEE Trans. Signal Processing. 2009. V. 57. № 6. P. 2275–2284.
  3. Lagovsky B.A. Image Restoration of the Objects with Super-resolution on the Basis of Spline – Interpolation // Progress In Electromagnetics Research Symposium (PIERS 2012-Moscow). PIERS Proceedings 2012. P. 989–992.
  4. Lagovskij B.A. Samohin A.B. Vosstanovlenie izobrazhenija istochnikov izluchenija s povyshennym uglovym razresheniem // Jelektromagnitnye volny i jelektronnye sistemy. 2009. № 8. T. 14. S. 55–61.
  5. Lagovsky B.A., Samokhin A.B. Image Restoration of Two-dimensional Signal Sources with Superresolution. Progress In Electromagnetics Research Symposium Proceedings (PIERS 2013 - Stockholm). PIERS Proceedings 2013. P. 315–319.
  6. Lagovskij B.A. Sverhrazreshenie na osnove sinteza apertury cifrovymi antennymi reshetkami // Antenny. 2013. № 6. S. 9–16.
  7. Lagovskij B.A., Shumov I.Ju.Vosstanovlenie dvumernyh izobrazhenij istochnikov izluchenija so sverhrazresheniem // Antenny. 2013. № 4. S. 60–65.

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