"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki)  ISSN 1684-1719, N 8, 2016

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Restoration of the radio images, distorted by spectral-local interference and instrumental function with unknown side lobes

 

A. V. Kokoshkin, V. A. Korotkov, K. V. Korotkov, E. P. Novichihin

Kotel’nikov Institute of Radio Engineering and Electronics RAS,  Fryazino Moscow reg.

 

The paper is received on July 13, 2016

 

Abstract. In the radio-wave systems there are often situations when the knowledge of the exact shape of the instrumental   function (IF) is impossible. This is especially true for the side lobes (SL) of IF. The following objective factors can be the reason of this situation:

1) design features of antenna systems which do not allow to carry out a sufficiently accurate three-dimensional measurement of the radiation pattern;

2) natural turbulence of the atmosphere, clouds and hydrometeors, causing multipath of the  radio wave propagation.

The absence of the necessary information about the side lobes can lead to significant errors when restoring the image distorted by the IF (Instrumental function).

In this work  we examine the effect of SL AF as the local spectral interference (LPS). It is shown that the renormalization method with restriction, unlike the Wiener filter, successfully fights with the local spectral interference, and significantly increases the quality of image restoration, distorted by the instrumental function with unknown side lobes.

The following conclusions can be drawn from this study:

1. Using the universal reference spectrum (URS) as a sample of the amplitude spectrum of the undistorted image can effectively filter out the spectral - local interference (SLI).

2. Using the method of renormalization limited (MRL) significantly increases the quality of image restoration, distorted by IF with unknown side lobes (SL).

3. Combined image distortion (IF with  unknown SL and SLI) is not an obstacle to the restoration of the image using the MRL.

4. The increase in the amplitude of the SL does not always reduce the quality of image reconstruction using MRL (as opposed to the method of Wiener and methods used in [6-8]).

5. In contrast to other methods , MRL works with obviously more difficult conditions, when the SL energy may exceed the energy of the ML (main lobe) in several times.

Key words: apparatus function, unknown side lobes, image restoration.

References

1. Rafael C. Gonzalez, Richard E. Woods  “Digital Image Processing” Second Edition   by Prentice-Hall, Inc. Upper Saddle River, New Jersey 07458, 2002.

2. Tihonov AN Arsenin VY - “Methods for solving ill-posed problems”. M. Science, 1979. (In Russian)

3. Pratt W.K.  “Digital Image Processing”, – John Wiley and Sons, Inc.,  USA, 1978.

4. Bates R. McDonnell M.  “Rehabilitation and reconstruction of images”. / Transl. with angl.k. f-m n. B.S. Kruglikova and S.L. Yaroslavl edited d. F-m n. L.P. Yaroslavsky. M .: "Mir", 1989, 487s.

5. Zhuravel I.M.  “Short Course image processing theory”. URL:   http://matlab.exponenta.ru/imageprocess/book2/index.php (In Russian)

6. Yu.A. Pirogov, V.V. Gladun, D.A. Tischenko, A.L. Timanovsky, I.V. Shlemin, S.F. Dzhen.  “Superresolution in the Millimeter Waves Radio-Vision Systems".  Zhurnal radioelectroniki - Journal of Radio Electronics, 2015, No. 3. 2004. ¹3, – March. Available at  URL: http://jre.cplire.ru/jre/mar04/3/text.html (In Russian)

7. Yu A. Pirogov, A.L. Timanovsky  “Influence of side-lobe of the receiving antenna on the superresolution systems passive radio vision”, Moscow University. 3. Physics Series. Astronomy. 2006. ¹1 (In Russian)

8. A.L. Timanovsky.  “Superresolution in a passive radio-wave imaging systems”. Thesis for the degree of candidate of physical and mathematical sciences. 2007. (In Russian)

9. A. Yu. Zrazhevskiy, A. V. Kokoshkin   “Effect of side lobes level of a point spread function on the quality of restored images”. Zhurnal radioelectroniki - Journal of Radio Electronics, N 4 - April 2013. Available at  URL: http://jre.cplire.ru/jre/apr13/8/text.html (In Russian)

10. À. Yu. Zrazhevsky, A. V. Kokoshkin, V. A. Korotkov  “Effect of side lobes level of a point spread function on the quality of restored images. Part 2. The spectral approach”. Zhurnal radioelectroniki - Journal of Radio Electronics, N 11 - November 2013. Available at  URL: http://jre.cplire.ru/jre/nov13/4/text.html (In Russian)

11. A. V. Kokoshkin, V. A. Korotkov, K. V. Korotkov, E. P. Novichin  “Reducing of the influence of unknown side lobes distort of the apparatus function on the quality of restoration of radio images”. Zhurnal radioelectroniki - Journal of Radio Electronics, N 4 - April 2015. Available at URL: http://jre.cplire.ru/jre/apr15/15/text.html (In Russian)

12. Yu. V. Gulyaev, À.Yu. Zrazhevsky, A.V. Kokoshkin, V.A. Korotkov, V. A. Cherepenin  “Correction of the spacial spectrum distorted by the optical system using the reference image method. Part 3. General-purpose reference spectrum”. Zhurnal radioelectroniki - Journal of Radio Electronics,  N 12 - December 2013. Available at URL: http://jre.cplire.ru/jre/dec13/3/text.html (In Russian)

13. V.A. Sablin "Development and research of methods of image reconstruction algorithms sequention analysis." Abstract of dissertation for the degree of candidate of technical sciences. Ryazan 2009. (In Russian)

14. B.V. Campfires "Theory and methodology of application sequention analysis for aerospace image processing." Abstract of dissertation for the degree of Doctor of Technical Sciences, Ryazan, 2012. (In Russian)

15.  Yu. V. Gulyaev, À.Yu. Zrazhevsky, A.V. Kokoshkin, V.A. Korotkov, V. A. Cherepenin  “Correction of the spacial spectrum distorted by the optical system using the reference image method. Part 2. Adaptive reference image method.” Zhurnal radioelectroniki - Journal of Radio Electronics,   N 12 - December 2013. Available at URL: http://jre.cplire.ru/jre/dec13/2/text.html (In Russian)

16. À. Yu. Zrazhevsky, A. V. Kokoshkin, V. A. Korotkov “The spectral interference influence on the image restoration by the reference image method”. Zhurnal radioelectroniki - Journal of Radio Electronics,  N 1 - January 2014 Available at  URL:  http://jre.cplire.ru/alt/jan14/9/text.html (In Russian)

17. A. V. Kokoshkin, V. A. Korotkov, K. V. Korotkov, E .P. Novichihin “Using the method of renormalization limited to restore the distorted image in the presence of interference and noise with unknown parameters”. Zhurnal radioelectroniki - Journal of Radio Electronics,  N 7 - July 2015. Available at  URL: http://jre.cplire.ru/alt/jul15/4/text.html (In Russian)

18. A. V. Kokoshkin, V. A. Korotkov, K. V. Korotkov, E .P. Novichihin  “Comparison of quality of digital image recovery by different methods with variation of sidelobe instrumental function”.  Zhurnal radioelectroniki - Journal of Radio Electronics,  N 7 - July 2015. Available at  URL: http://jre.cplire.ru/iso/jul15/5/text.html (In Russian)